{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T22:46:11Z","timestamp":1778021171385,"version":"3.51.4"},"reference-count":125,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T00:00:00Z","timestamp":1739923200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T00:00:00Z","timestamp":1739923200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]},{"name":"European Union\u2019s Horizon 2020 research and innovation programme","award":["955708"],"award-info":[{"award-number":["955708"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Dyn Games Appl"],"published-print":{"date-parts":[[2025,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Cooperation arises in nature at every scale, from within cells to entire ecosystems. Public goods games (PGGs) are used to represent scenarios characterised by the conflict\/dilemma between choosing cooperation as a socially optimal strategy and defection as an individually optimal strategy. Evolutionary game theory is often used to analyse the dynamics of behaviour emergence in this context. Here, we focus on PGGs arising in the disease modelling of cancer evolution and the spread of infectious diseases. We use these two systems as case studies for the development of the theory and applications of PGGs, which we succinctly review. We also posit that applications of evolutionary game theory to decision-making in cancer, such as interactions between a clinician and a tumour, can learn from the PGGs studied in epidemiology, where cooperative behaviours such as quarantine and vaccination compliance have been more thoroughly investigated. Furthermore, instances of cellular-level cooperation observed in cancers point to a corresponding area of potential interest for modellers of other diseases, be they viral, bacterial or otherwise. We aim to demonstrate the breadth of applicability of PGGs in disease modelling while providing a starting point for those interested in quantifying cooperation arising in healthcare.<\/jats:p>","DOI":"10.1007\/s13235-025-00619-5","type":"journal-article","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T05:29:13Z","timestamp":1739942953000},"page":"1733-1749","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Public Goods Games in Disease Evolution and Spread"],"prefix":"10.1007","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9350-7833","authenticated-orcid":false,"given":"Christo","family":"Morison","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8089-7887","authenticated-orcid":false,"given":"Ma\u0142gorzata","family":"Fic","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9353-0566","authenticated-orcid":false,"given":"Thomas","family":"Marcou","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7208-5996","authenticated-orcid":false,"given":"Javad","family":"Mohamadichamgavi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0009-7991-4369","authenticated-orcid":false,"given":"Javier","family":"Redondo Ant\u00f3n","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8143-3187","authenticated-orcid":false,"given":"Golsa","family":"Sayyar","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0520-0063","authenticated-orcid":false,"given":"Alexander","family":"Stein","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1910-024X","authenticated-orcid":false,"given":"Frank","family":"Bastian","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0062-3377","authenticated-orcid":false,"given":"Hana","family":"Krakovsk\u00e1","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3474-7546","authenticated-orcid":false,"given":"Nandakishor","family":"Krishnan","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6069-7474","authenticated-orcid":false,"given":"Diogo","family":"L. Pires","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2397-1785","authenticated-orcid":false,"given":"Mohammadreza","family":"Satouri","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3477-3883","authenticated-orcid":false,"given":"Frederik","family":"J. Thomsen","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9669-8789","authenticated-orcid":false,"given":"Kausutua","family":"Tjikundi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5533-1315","authenticated-orcid":false,"given":"Wajid","family":"Ali","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,2,19]]},"reference":[{"issue":"3","key":"619_CR1","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.63.030901","volume":"63","author":"G Abramson","year":"2001","unstructured":"Abramson G, Kuperman M (2001) Social games in a social network. Phys Rev E 63(3):030901","journal-title":"Phys Rev E"},{"issue":"1","key":"619_CR2","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.biosystems.2008.11.009","volume":"96","author":"\u00c1d\u00e1m Kun and Istv\u00e1n Scheuring","year":"2009","unstructured":"\u00c1d\u00e1m Kun and Istv\u00e1n Scheuring (2009) Evolution of cooperation on dynamical graphs. Biosystems 96(1):65\u201368","journal-title":"Biosystems"},{"key":"619_CR3","volume":"3","author":"M Alam","year":"2020","unstructured":"Alam M, Kabir KMA (2020) Tanimoto J (2020) \u201cBased on mathematical epidemiology and evolutionary game theory, which is more effective: quarantine or isolation policy?\u2019\u2019. J Stat Mech Theor Exp 3:033502","journal-title":"J Stat Mech Theor Exp"},{"issue":"2243","key":"619_CR4","doi-asserted-by":"crossref","first-page":"20200686","DOI":"10.1098\/rspa.2020.0686","volume":"476","author":"Alina Glaubitz and Feng Fu","year":"2020","unstructured":"Alina Glaubitz and Feng Fu (2020) Oscillatory dynamics in the dilemma of social distancing. Proce Royal Soc A 476(2243):20200686","journal-title":"Proce Royal Soc A"},{"key":"619_CR5","doi-asserted-by":"crossref","unstructured":"Allen Linda JS (2008) An introduction to stochastic epidemic models. Mathematical epidemiology, vol 1945. Springer, Berlin, pp 81\u2013130","DOI":"10.1007\/978-3-540-78911-6_3"},{"key":"619_CR6","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2020.110616","volume":"143","author":"MA Amaral","year":"2021","unstructured":"Amaral MA, de Oliveira MM, Javarone MA (2021) An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics. Chaos Solitons Fractals 143:110616","journal-title":"Chaos Solitons Fractals"},{"issue":"15","key":"619_CR7","doi-asserted-by":"crossref","first-page":"3674","DOI":"10.3390\/cancers13153674","volume":"13","author":"M Archetti","year":"2021","unstructured":"Archetti M (2021) Collapse of intra-tumor cooperation induced by engineered defector cells. Cancers 13(15):3674","journal-title":"Cancers"},{"issue":"2","key":"619_CR8","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1038\/s41568-018-0083-7","volume":"19","author":"M Archetti","year":"2019","unstructured":"Archetti M, Pienta Kenneth J (2019) Cooperation among cancer cells: applying game theory to cancer. Nat Rev Cancer 19(2):110\u2013117","journal-title":"Nat Rev Cancer"},{"issue":"6","key":"619_CR9","doi-asserted-by":"crossref","first-page":"1833","DOI":"10.1073\/pnas.1414653112","volume":"112","author":"M Archetti","year":"2015","unstructured":"Archetti M, Ferraro DA, Christofori G (2015) Heterogeneity for IGF-II production maintained by public goods dynamics in neuroendocrine pancreatic cancer. Proce Natl Acad Sci 112(6):1833\u20131838","journal-title":"Proce Natl Acad Sci"},{"issue":"1","key":"619_CR10","doi-asserted-by":"crossref","first-page":"12621","DOI":"10.1038\/s41598-021-92094-2","volume":"11","author":"KM Ariful Kabir","year":"2021","unstructured":"Ariful Kabir KM, Risa T, Tanimoto J (2021) Prosocial behavior of wearing a mask during an epidemic: An evolutionary explanation. Sci Rep 11(1):12621","journal-title":"Sci Rep"},{"key":"619_CR11","volume-title":"Fundamentals of enzyme kinetics","author":"Athel Cornish-Bowden","year":"2013","unstructured":"Cornish-Bowden Athel (2013) Fundamentals of enzyme kinetics. John Wiley and Sons, Hoboken"},{"issue":"2","key":"619_CR12","doi-asserted-by":"crossref","first-page":"S294","DOI":"10.1137\/20M1377862","volume":"60","author":"A Aurell","year":"2022","unstructured":"Aurell A et al (2022) Optimal incentives to mitigate epidemics: a Stackelberg mean field game approach. SIAM J Control Optim 60(2):S294\u2013S322","journal-title":"SIAM J Control Optim"},{"issue":"4489","key":"619_CR13","doi-asserted-by":"crossref","first-page":"1390","DOI":"10.1126\/science.7466396","volume":"211","author":"R Axelrod","year":"1981","unstructured":"Axelrod R, Hamilton William D (1981) The evolution of cooperation. Science 211(4489):1390\u20131396","journal-title":"Science"},{"issue":"36","key":"619_CR14","doi-asserted-by":"crossref","first-page":"13474","DOI":"10.1073\/pnas.0606053103","volume":"103","author":"R Axelrod","year":"2006","unstructured":"Axelrod R, Axelrod DE, Pienta Kenneth J (2006) Evolution of cooperation among tumor cells. Proce Natl Acad Sci 103(36):13474\u201313479","journal-title":"Proce Natl Acad Sci"},{"issue":"4","key":"619_CR15","doi-asserted-by":"crossref","first-page":"914","DOI":"10.1021\/mp200458e","volume":"9","author":"D Basanta","year":"2012","unstructured":"Basanta D, Gatenby RA, Anderson Alexander RA (2012) Exploiting evolution to treat drug resistance: combination therapy and the double bind. Mol Pharm 9(4):914\u2013921","journal-title":"Mol Pharm"},{"issue":"36","key":"619_CR16","doi-asserted-by":"crossref","first-page":"13391","DOI":"10.1073\/pnas.0403823101","volume":"101","author":"CT Bauch","year":"2004","unstructured":"Bauch CT, Earn DJD (2004) Vaccination and the theory of games. Proce Natl Acad Sci 101(36):13391\u201313394","journal-title":"Proce Natl Acad Sci"},{"issue":"1","key":"619_CR17","doi-asserted-by":"crossref","first-page":"478","DOI":"10.1016\/j.jet.2006.06.006","volume":"135","author":"Y Bramoull\u00e9","year":"2007","unstructured":"Bramoull\u00e9 Y, Kranton R (2007) Public goods in networks. J Econ Theo 135(1):478\u2013494","journal-title":"J Econ Theo"},{"issue":"1519","key":"619_CR18","doi-asserted-by":"crossref","first-page":"1099","DOI":"10.1098\/rspb.2003.2336","volume":"270","author":"H Brandt","year":"2003","unstructured":"Brandt H, Hauert C, Sigmund K (2003) Punishment and reputation in spatial public goods games. Proce Royal Soc London Ser B Biol Sci 270(1519):1099\u20131104","journal-title":"Proce Royal Soc London Ser B Biol Sci"},{"issue":"3","key":"619_CR19","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1007635","volume":"16","author":"RR Bravo","year":"2020","unstructured":"Bravo RR et al (2020) Hybrid automata library: a flexible platform for hybrid modeling with real-time visualization. PLOS Comput Biol 16(3):e1007635","journal-title":"PLOS Comput Biol"},{"issue":"5","key":"619_CR20","doi-asserted-by":"crossref","first-page":"6305","DOI":"10.3934\/mbe.2021315","volume":"18","author":"CK Buhler","year":"2021","unstructured":"Buhler CK et al (2021) Do mechanisms matter? Comparing cancer treatment strategies across mathematical models and outcome objectives. Math Biosci Eng 18(5):6305\u20136327","journal-title":"Math Biosci Eng"},{"issue":"6","key":"619_CR21","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1016\/j.physa.2009.11.044","volume":"389","author":"X-B Cao","year":"2010","unstructured":"Cao X-B, Wen-Bo D, Rong Z-H (2010) The evolutionary public goods game on scale-free networks with heterogeneous investment. Phys A Stat Mech Appl 389(6):1273\u20131280","journal-title":"Phys A Stat Mech Appl"},{"key":"619_CR22","doi-asserted-by":"publisher","DOI":"10.1063\/1.3699043","volume":"2","author":"C Chris","year":"2012","unstructured":"Chris C, David L, Robert A (2012) Physics of cancer propagation A game theory perspective. AIP Adv 2:011202. https:\/\/doi.org\/10.1063\/1.3699043","journal-title":"AIP Adv"},{"issue":"10","key":"619_CR23","doi-asserted-by":"crossref","first-page":"1024","DOI":"10.1093\/aje\/kwi308","volume":"162","author":"RM Christley","year":"2005","unstructured":"Christley RM et al (2005) Infection in social networks: using network analysis to identify high-risk individuals. Am J Epidemiol 162(10):1024\u20131031","journal-title":"Am J Epidemiol"},{"issue":"4","key":"619_CR24","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1002\/cplx.10092","volume":"8","author":"Christoph Hauert and Gy\u00f6rgy Szabo","year":"2003","unstructured":"Christoph Hauert and Gy\u00f6rgy Szabo (2003) Prisoner\u2019s dilemma and public goods games in different geometries: compulsory versus voluntary interactions. Complexity 8(4):31\u201338","journal-title":"Complexity"},{"issue":"7494","key":"619_CR25","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1038\/nature13187","volume":"508","author":"S Cleary Allison","year":"2014","unstructured":"Cleary Allison S et al (2014) Tumour cell heterogeneity maintained by cooperating subclones in Wnt-driven mammary cancers. Nature 508(7494):113\u2013117","journal-title":"Nature"},{"issue":"193","key":"619_CR26","doi-asserted-by":"crossref","first-page":"20220346","DOI":"10.1098\/rsif.2022.0346","volume":"19","author":"H Coggan","year":"2022","unstructured":"Coggan H, Page KM (2022) The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review. J Royal Soc Interface 19(193):20220346","journal-title":"J Royal Soc Interface"},{"issue":"4","key":"619_CR27","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0215480","volume":"14","author":"AM Colman","year":"2019","unstructured":"Colman AM et al (2019) Medical prescribing and antibiotic resistance: a game-theoretic analysis of a potentially catastrophic social dilemma. PLOS ONE 14(4):e0215480","journal-title":"PLOS ONE"},{"issue":"1","key":"619_CR28","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1093\/phe\/phx020","volume":"11","author":"RH Dees","year":"2018","unstructured":"Dees RH (2018) Public health and normative public goods. Public Health Ethics 11(1):20\u201326","journal-title":"Public Health Ethics"},{"key":"619_CR29","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.chaos.2018.06.036","volume":"114","author":"Z-H Deng","year":"2018","unstructured":"Deng Z-H et al (2018) Multigames with voluntary participation on interdependent networks and the evolution of cooperation. Chaos, Solitons Fract 114:151\u2013157","journal-title":"Chaos, Solitons Fract"},{"issue":"6868","key":"619_CR30","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1038\/415137a","volume":"415","author":"Ernst Fehr and Simon G\u00e4chter","year":"2002","unstructured":"Ernst Fehr and Simon G\u00e4chter (2002) Altruistic punishment in humans. Nature 415(6868):137\u2013140","journal-title":"Nature"},{"key":"619_CR31","volume-title":"Mathematical models in epidemiology","author":"B Fred","year":"2019","unstructured":"Fred B, Carlos C-C, Feng Zhilan (2019) Mathematical models in epidemiology, vol 32. Springer, New york"},{"key":"619_CR32","doi-asserted-by":"crossref","unstructured":"Frias-Martinez Enrique, Williamson Graham, Frias-Martinez Vanessa (2011) \u201cAn agent-based model of epidemic spread using human mobility and social network information\u201d. In: 2011 IEEE third international conference on privacy, security, risk and trust and 2011 IEEE third international conference on social computing. IEEE. pp. 57\u201364","DOI":"10.1109\/PASSAT\/SocialCom.2011.142"},{"issue":"1702","key":"619_CR33","first-page":"42","volume":"278","author":"F Fu","year":"2011","unstructured":"Fu F et al (2011) Imitation dynamics of vaccination behaviour on social networks. Proce Royal Soc B Biol Sci 278(1702):42\u201349","journal-title":"Proce Royal Soc B Biol Sci"},{"issue":"7246","key":"619_CR34","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1038\/459508a","volume":"459","author":"A Gatenby Robert","year":"2009","unstructured":"Gatenby Robert A (2009) A change of strategy in the war on cancer. Nature 459(7246):508\u2013509","journal-title":"Nature"},{"issue":"11","key":"619_CR35","doi-asserted-by":"crossref","first-page":"4894","DOI":"10.1158\/0008-5472.CAN-08-3658","volume":"69","author":"A Gatenby Robert","year":"2009","unstructured":"Gatenby Robert A et al (2009) Adaptive Therapy. Cancer Res 69(11):4894\u20134903","journal-title":"Cancer Res"},{"issue":"13","key":"619_CR36","doi-asserted-by":"crossref","first-page":"3174","DOI":"10.1158\/0008-5472.CAN-19-0807","volume":"79","author":"RA Gatenby","year":"2019","unstructured":"Gatenby RA, Zhang J, Brown JS (2019) First strike-second strike strategies in metastatic cancer: lessons from the evolutionary dynamics of extinction. Cancer Res 79(13):3174\u20133177","journal-title":"Cancer Res"},{"key":"619_CR37","volume-title":"Modern infectious disease epidemiology","author":"Giesecke Johan","year":"2017","unstructured":"Johan Giesecke (2017) Modern infectious disease epidemiology. CRC Press"},{"issue":"1","key":"619_CR38","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1093\/bmb\/ldaa036","volume":"137","author":"A Giubilini","year":"2021","unstructured":"Giubilini A (2021) Vaccination ethics. British Med Bull 137(1):4\u201312","journal-title":"British Med Bull"},{"issue":"1","key":"619_CR39","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1038\/srep00620","volume":"2","author":"J G\u00f3mez-Gardenes","year":"2012","unstructured":"G\u00f3mez-Gardenes J et al (2012) Evolution of cooperation in multiplex networks. Sci Rep 2(1):620","journal-title":"Sci Rep"},{"issue":"4\u20136","key":"619_CR40","first-page":"97","volume":"446","author":"Gy\u00f6rgy Szab\u00f3 and G\u00e1bor F\u00e1th","year":"2007","unstructured":"Gy\u00f6rgy Szab\u00f3 and G\u00e1bor F\u00e1th (2007) Evolutionary games on graphs. Physics Reports 446(4\u20136):97\u2013216","journal-title":"Physics Reports"},{"issue":"1","key":"619_CR41","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/S0092-8674(00)81683-9","volume":"100","author":"D Hanahan","year":"2000","unstructured":"Hanahan D, Weinberg RA (2000) The hallmarks of cancer. Cell 100(1):57\u201370","journal-title":"Cell"},{"issue":"3859","key":"619_CR42","first-page":"1243","volume":"162","author":"G Hardin","year":"1968","unstructured":"Hardin G (1968) The tragedy of the commons. Sci 162(3859):1243\u20131248","journal-title":"The tragedy of the commons. Sci"},{"key":"619_CR43","doi-asserted-by":"crossref","unstructured":"Hartnett GS et\u00a0al (2021) \u201cModelling the impact of social distancing and targeted vaccination on the spread of COVID-19 through a real city-scale contact network\u201d. J Complex Netw 9(6):cnab042","DOI":"10.1093\/comnet\/cnab042"},{"issue":"5570","key":"619_CR44","doi-asserted-by":"crossref","first-page":"1129","DOI":"10.1126\/science.1070582","volume":"296","author":"C Hauert","year":"2002","unstructured":"Hauert C et al (2002) Volunteering as red queen mechanism for cooperation in public goods games. Science 296(5570):1129\u20131132","journal-title":"Science"},{"key":"619_CR45","volume-title":"The dynamics of public goods","author":"C Hauert","year":"2004","unstructured":"Hauert C, Haiden N, Sigmund K (2004) The dynamics of public goods. IIASA Interim Report, IIASA, Laxenburg, Austria"},{"key":"619_CR46","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139173179","volume-title":"Evolutionary games and population dynamics","author":"Hofbauer Josef","year":"1998","unstructured":"Josef Hofbauer, Karl Sigmund (1998) Evolutionary games and population dynamics. Cambridge University Press"},{"key":"619_CR47","unstructured":"Hoffman Moshe, Yoeli Erez (2022) Hidden games: the surprising power of game theory to explain irrational human behaviour. Hachette UK"},{"key":"619_CR48","doi-asserted-by":"crossref","unstructured":"Hu Tingwei, Mei Lili, Wang Zhen (2023) \u201cStackelberg Strategies on Epidemic Containment Games\u201d. In: International workshop on frontiers in algorithmics. Springer. pp. 281\u2013294","DOI":"10.1007\/978-3-031-39344-0_21"},{"key":"619_CR49","first-page":"199","volume-title":"All Flesh Is Grass: Plant-Animal Interrelationships","author":"Iluz David","year":"2011","unstructured":"David Iluz (2011) Zoochory: The dispersal of plants by animals. In: Dubinsky Zvy, Seckbach Joseph (eds) All Flesh Is Grass: Plant-Animal Interrelationships. Springer, Netherlands, Dordrecht, pp 199\u2013214"},{"key":"619_CR50","doi-asserted-by":"crossref","first-page":"280","DOI":"10.54097\/hset.v49i.8519","volume":"49","author":"W Jingzhen","year":"2023","unstructured":"Jingzhen W (2023) The state-of-art applications of game theory in computer science. Highlights Sci Eng Technol 49:280\u2013286","journal-title":"Highlights Sci Eng Technol"},{"issue":"4","key":"619_CR51","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1038\/nrc2618","volume":"9","author":"JA Joyce","year":"2009","unstructured":"Joyce JA, Pollard JW (2009) Microenvironmental regulation of metastasis. Nature Rev Cancer 9(4):239\u2013252","journal-title":"Nature Rev Cancer"},{"key":"619_CR52","doi-asserted-by":"crossref","unstructured":"Kermack William Ogilvy, McKendrick Anderson G (1927) \u201cA contribution to the mathematical theory of epidemics\u201d. In: Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character 115(772):700\u2013721","DOI":"10.1098\/rspa.1927.0118"},{"issue":"4","key":"619_CR53","doi-asserted-by":"crossref","first-page":"1130","DOI":"10.1007\/s13235-023-00544-5","volume":"13","author":"M Kleshnina","year":"2023","unstructured":"Kleshnina M et al (2023) Game theory for managing evolving systems: challenges and opportunities of including vector-valued strategies and life-history traits. Dyn Games Appl 13(4):1130\u20131155","journal-title":"Dyn Games Appl"},{"issue":"1","key":"619_CR54","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1111\/j.1467-2979.2010.00372.x","volume":"12","author":"SBM Kraak","year":"2011","unstructured":"Kraak SBM (2011) Exploring the public goods game model to overcome the tragedy of the commons in fisheries management. Fish Fish 12(1):18\u201333","journal-title":"Fish Fish"},{"key":"619_CR55","unstructured":"Ledyard John O et\u00a0al (1994) Public goods: A survey of experimental research. Division of the Humanities and Social Sciences, California Inst. of Technology"},{"key":"619_CR56","doi-asserted-by":"crossref","unstructured":"Lee Nathan D, Kaveh Kamran, Bozic Ivana (2023)\u201cClonal interactions in cancer: Integrating quantitative models with experimental and clinical data\u201d. In: Seminars in Cancer Biology. Elsevier","DOI":"10.1016\/j.semcancer.2023.04.002"},{"issue":"7311","key":"619_CR57","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1038\/nature09354","volume":"467","author":"HH Lee","year":"2010","unstructured":"Lee HH et al (2010) Bacterial charity work leads to population-wide resistance. Nature 467(7311):82\u201385","journal-title":"Nature"},{"issue":"1\u20133","key":"619_CR58","first-page":"89","volume":"1","author":"RE Lenski","year":"2001","unstructured":"Lenski RE, Velicer GJ (2001) Games microbes play. Selection 1(1\u20133):89\u201396","journal-title":"Games microbes play. Selection"},{"issue":"3","key":"619_CR59","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1038\/scientificamerican0398-46","volume":"278","author":"SB Levy","year":"1998","unstructured":"Levy SB (1998) The challenge of antibiotic resistance. Sci Am 278(3):46\u201353","journal-title":"Sci Am"},{"key":"619_CR60","doi-asserted-by":"crossref","unstructured":"Loscalzo J, Barab\u00e1si A (2017) and Edwin K Silverman. Complex systems in human disease and therapeutics. Harvard University Press, Network Medicine","DOI":"10.4159\/9780674545533"},{"issue":"4","key":"619_CR61","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pone.0001892","volume":"3","author":"S Lozano","year":"2008","unstructured":"Lozano S, Arenas A, S\u00e1nchez A (2008) Mesoscopic structure conditions the emergence of cooperation on social networks. PLOS ONE 3(4):1\u20139","journal-title":"PLOS ONE"},{"key":"619_CR62","doi-asserted-by":"crossref","unstructured":"Lutz P, Kaufmann D, St\u00fcnzi A (2020) \u201cHumanitarian protection as a European public good: the strategic role of states and refugees\u201d. JCMS: J Common Market Stud 58(3):757\u2013775","DOI":"10.1111\/jcms.12974"},{"issue":"9","key":"619_CR63","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1038\/s41567-023-02132-1","volume":"19","author":"Manlio De Domenico","year":"2023","unstructured":"Manlio De Domenico (2023) More is different in real-world multilayer networks. Nature Phys 19(9):1247\u20131262","journal-title":"Nature Phys"},{"key":"619_CR64","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1007\/s13235-020-00358-9","volume":"11","author":"B Mark","year":"2021","unstructured":"Mark B, Erovenko Igor V, Jan R (2021) Modelling evolution in structured populations involving multiplayer interactions. Dyn Games Appl 11:270\u2013293","journal-title":"Dyn Games Appl"},{"issue":"2","key":"619_CR65","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0025-5564(92)90038-X","volume":"110","author":"RB Martin","year":"1992","unstructured":"Martin RB et al (1992) Optimal control of tumor size used to maximize survival time when cells are resistant to chemotherapy. Math Biosci 110(2):201\u2013219","journal-title":"Math Biosci"},{"issue":"1","key":"619_CR66","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1186\/s12943-023-01896-7","volume":"22","author":"MSB Masroni","year":"2023","unstructured":"Masroni MSB et al (2023) Dynamic altruistic cooperation within breast tumors. Molecular Cancer 22(1):206","journal-title":"Molecular Cancer"},{"issue":"2","key":"619_CR67","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.jtbi.2009.01.025","volume":"258","author":"N Masuda","year":"2009","unstructured":"Masuda N (2009) Directionality of contact networks suppresses selection pressure in evolutionary dynamics. J Theor Biol 258(2):323\u2013334","journal-title":"J Theor Biol"},{"issue":"2","key":"619_CR68","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.biosystems.2009.10.003","volume":"99","author":"Matja\u017e Perc and Attila Szolnoki","year":"2010","unstructured":"Matja\u017e Perc and Attila Szolnoki (2010) Coevolutionary games-a mini review. BioSystems 99(2):109\u2013125","journal-title":"BioSystems"},{"issue":"1","key":"619_CR69","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/0022-5193(74)90110-6","volume":"47","author":"J Maynard Smith","year":"1974","unstructured":"Maynard Smith J (1974) The theory of games and the evolution of animal conflicts. J Theor Biol 47(1):209\u2013221","journal-title":"J Theor Biol"},{"issue":"5427","key":"619_CR70","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1038\/246015a0","volume":"246","author":"J Maynard Smith","year":"1973","unstructured":"Maynard Smith J, Price GR (1973) The logic of animal conflict. Nature 246(5427):15\u201318","journal-title":"Nature"},{"key":"619_CR71","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198815778.001.0001","volume-title":"Game theory in biology: concepts and frontiers","author":"M McNamara John","year":"2020","unstructured":"McNamara John M, Olof Leimar (2020) Game theory in biology: concepts and frontiers. Oxford University Press, USA"},{"issue":"11","key":"619_CR72","doi-asserted-by":"crossref","first-page":"3994","DOI":"10.1073\/pnas.0504902103","volume":"103","author":"M Milinski","year":"2006","unstructured":"Milinski M et al (2006) Stabilizing the Earth\u2019s climate is not a losing game: supporting evidence from public goods experiments. Proce Natl Acad Sci 103(11):3994\u20133998","journal-title":"Proce Natl Acad Sci"},{"issue":"1","key":"619_CR73","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1177\/1043463192004001008","volume":"4","author":"RB Myerson","year":"1992","unstructured":"Myerson RB (1992) On the value of game theory in social science. Ration Soc 4(1):62\u201373","journal-title":"Ration Soc"},{"issue":"5805","key":"619_CR74","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.1126\/science.1133755","volume":"314","author":"A Nowak Martin","year":"2006","unstructured":"Nowak Martin A (2006) Five rules for the evolution of cooperation. Science 314(5805):1560\u20131563","journal-title":"Science"},{"issue":"6398","key":"619_CR75","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1038\/359826a0","volume":"359","author":"MA Nowak","year":"1992","unstructured":"Nowak MA, May RM (1992) Evolutionary games and spatial chaos. Nature 359(6398):826\u2013829","journal-title":"Nature"},{"issue":"4260","key":"619_CR76","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1126\/science.959840","volume":"194","author":"PC Nowell","year":"1976","unstructured":"Nowell PC (1976) The clonal evolution of tumor cell populations. Science 194(4260):23\u201328","journal-title":"Science"},{"issue":"1","key":"619_CR77","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1038\/s41598-021-04428-9","volume":"12","author":"H Nunner","year":"2022","unstructured":"Nunner H, van de Rijt A, Buskens V (2022) Prioritizing high-contact occupations raises effectiveness of vaccination campaigns. Sci Rep 12(1):737","journal-title":"Sci Rep"},{"issue":"7092","key":"619_CR78","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1038\/nature04605","volume":"441","author":"H Ohtsuki","year":"2006","unstructured":"Ohtsuki H et al (2006) A simple rule for the evolution of cooperation on graphs and social networks. Nature 441(7092):502\u2013505","journal-title":"Nature"},{"issue":"10","key":"619_CR79","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.98.108106","volume":"98","author":"H Ohtsuki","year":"2007","unstructured":"Ohtsuki H, Nowak MA, Pacheco JM (2007) Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs. Phys Rev Lett 98(10):108106","journal-title":"Phys Rev Lett"},{"issue":"4","key":"619_CR80","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1016\/j.jtbi.2007.01.024","volume":"246","author":"H Ohtsuki","year":"2007","unstructured":"Ohtsuki H, Pacheco JM, Nowak MA (2007) Evolutionary graph theory: breaking the symmetry between interaction and replacement. J Theor Biol 246(4):681\u2013694","journal-title":"J Theor Biol"},{"issue":"25","key":"619_CR81","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.97.258103","volume":"97","author":"JM Pacheco","year":"2006","unstructured":"Pacheco JM, Traulsen A, Nowak MA (2006) Coevolution of strategy and structure in complex networks with dynamical linking. Phys Rev Lett 97(25):258103","journal-title":"Phys Rev Lett"},{"issue":"8","key":"619_CR82","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1005059","volume":"12","author":"J Pe\u00f1a","year":"2016","unstructured":"Pe\u00f1a J et al (2016) Evolutionary games of multiplayer cooperation on graphs. PLoS Comput Biol 12(8):e1005059","journal-title":"PLoS Comput Biol"},{"issue":"80","key":"619_CR83","doi-asserted-by":"crossref","first-page":"20120997","DOI":"10.1098\/rsif.2012.0997","volume":"10","author":"M Perc","year":"2013","unstructured":"Perc M et al (2013) Evolutionary dynamics of group interactions on structured populations: a review. J Royal Soc Interface 10(80):20120997","journal-title":"J Royal Soc Interface"},{"issue":"4","key":"619_CR84","doi-asserted-by":"crossref","first-page":"0101","DOI":"10.1038\/s41559-017-0101","volume":"1","author":"Pilosof Shai","year":"2017","unstructured":"Shai Pilosof et al (2017) The multilayer nature of ecological networks. Nature Ecol Evolut 1(4):0101","journal-title":"Nature Ecol Evolut"},{"issue":"6","key":"619_CR85","doi-asserted-by":"crossref","DOI":"10.1098\/rsos.210429","volume":"8","author":"M Piraveenan","year":"2021","unstructured":"Piraveenan M et al (2021) Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic. Royal Soc Open Sci 8(6):210429","journal-title":"Royal Soc Open Sci"},{"issue":"12","key":"619_CR86","volume":"7","author":"C Porco Travis","year":"2012","unstructured":"Porco Travis C et al (2012) When does overuse of antibiotics become a tragedy of the commons? PLSO ONE 7(12):e46505","journal-title":"PLSO ONE"},{"key":"619_CR87","first-page":"1","volume-title":"Branching process models of cancer","author":"D Richard","year":"2015","unstructured":"Richard D (2015) Branching process models of cancer. Springer International Publishing, Newyork, pp 1\u201363"},{"key":"619_CR88","volume":"158","author":"Risa Tori and Jun Tanimoto","year":"2022","unstructured":"Risa Tori and Jun Tanimoto (2022) A study on prosocial behavior of wearing a mask and self-quarantining to prevent the spread of diseases underpinned by evolutionary game theory. Chaos, Solitons Fract 158:112030","journal-title":"Chaos, Solitons Fract"},{"issue":"4","key":"619_CR89","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.plrev.2009.08.001","volume":"6","author":"CP Roca","year":"2009","unstructured":"Roca CP, Cuesta JA, S\u00e1nchez A (2009) Evolutionary game theory: temporal and spatial effects beyond replicator dynamics. Phys Life Rev 6(4):208\u2013249","journal-title":"Phys Life Rev"},{"issue":"3","key":"619_CR90","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0022-5193(67)90079-3","volume":"14","author":"Sagan Lynn","year":"1967","unstructured":"Lynn Sagan (1967) On the origin of mitosing cells. J Theor Biol 14(3):225\u2013274","journal-title":"J Theor Biol"},{"issue":"4","key":"619_CR91","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1257\/jep.30.4.107","volume":"30","author":"Samuelson Larry","year":"2016","unstructured":"Larry Samuelson (2016) Game theory in economics and beyond. J Econ Perspect 30(4):107\u2013130","journal-title":"J Econ Perspect"},{"issue":"9","key":"619_CR92","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.95.098104","volume":"95","author":"FC Santos","year":"2005","unstructured":"Santos FC, Pacheco JM (2005) Scale-free networks provide a unifying framework for the emergence of cooperation. Phys Rev Lett 95(9):098104","journal-title":"Phys Rev Lett"},{"issue":"9","key":"619_CR93","doi-asserted-by":"crossref","first-page":"3490","DOI":"10.1073\/pnas.0508201103","volume":"103","author":"FC Santos","year":"2006","unstructured":"Santos FC, Pacheco JM, Lenaerts T (2006) Evolutionary dynamics of social dilemmas in structured heterogeneous populations. Proce Natl Acad Sci 103(9):3490\u20133494","journal-title":"Proce Natl Acad Sci"},{"issue":"1582","key":"619_CR94","first-page":"51","volume":"273","author":"FC Santos","year":"2006","unstructured":"Santos FC, Rodrigues JF, Pacheco JM (2006) Graph topology plays a determinant role in the evolution of cooperation. Proce Royal Soc B Biol Sci 273(1582):51\u201355","journal-title":"Proce Royal Soc B Biol Sci"},{"issue":"7201","key":"619_CR95","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1038\/nature06940","volume":"454","author":"FC Santos","year":"2008","unstructured":"Santos FC, Santos MD, Pacheco Jorge M (2008) Social diversity promotes the emergence of cooperation in public goods games. Nature 454(7201):213\u2013216","journal-title":"Nature"},{"issue":"1","key":"619_CR96","doi-asserted-by":"crossref","first-page":"4436","DOI":"10.1038\/srep04436","volume":"4","author":"MD Santos","year":"2014","unstructured":"Santos MD, Dorogovtsev SN, Mendes JFF (2014) Biased imitation in coupled evolutionary games in interdependent networks. Sci Rep 4(1):4436","journal-title":"Sci Rep"},{"key":"619_CR97","doi-asserted-by":"crossref","DOI":"10.1515\/9781400832255","volume-title":"The calculus of selfishness","author":"Sigmund Karl","year":"2010","unstructured":"Karl Sigmund (2010) The calculus of selfishness. Princeton University Press"},{"issue":"14","key":"619_CR98","doi-asserted-by":"crossref","first-page":"R503","DOI":"10.1016\/S0960-9822(99)80321-2","volume":"9","author":"K Sigmund","year":"1999","unstructured":"Sigmund K, Nowak MA (1999) Evolutionary game theory. Curr Biol 9(14):R503\u2013R505","journal-title":"Curr Biol"},{"key":"619_CR99","doi-asserted-by":"publisher","DOI":"10.4257\/oeco.2018.2204.05","author":"CE Soares","year":"2018","unstructured":"Soares CE, Denise L, Kleber D-C (2018) Protection mutualism: an overview of ant-plant interactions mediated by extrafloral nectaries. Oecol Aust. https:\/\/doi.org\/10.4257\/oeco.2018.2204.05","journal-title":"Oecol Aust"},{"issue":"2","key":"619_CR100","doi-asserted-by":"crossref","first-page":"20","DOI":"10.3390\/g11020020","volume":"11","author":"M Soltanolkottabi","year":"2020","unstructured":"Soltanolkottabi M, Ben-Arieh D, Chih-Hang W (2020) Game theoretic modeling of infectious disease transmission with delayed emergence of symptoms. Games 11(2):20","journal-title":"Games"},{"issue":"4","key":"619_CR101","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1016\/j.jtbi.2009.07.010","volume":"260","author":"MO Souza","year":"2009","unstructured":"Souza MO, Pacheco JM, Santos FC (2009) Evolution of cooperation under N-person snowdrift games. J Theor Biol 260(4):581\u2013588","journal-title":"J Theor Biol"},{"key":"619_CR102","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1146\/annurev.ecolsys.36.091704.175531","volume":"36","author":"B Stadler","year":"2005","unstructured":"Stadler B, Dixon AFG (2005) Ecology and evolution of aphid-ant interactions. Ann Rev Ecol Evol Syst 36:345\u2013372","journal-title":"Ann Rev Ecol Evol Syst"},{"issue":"1","key":"619_CR103","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1001\/jamaoncol.2018.3395","volume":"5","author":"K Sta\u0148kov\u00e1","year":"2019","unstructured":"Sta\u0148kov\u00e1 K et al (2019) Optimizing cancer treatment using game theory: a review. JAMA Oncol 5(1):96\u2013103","journal-title":"JAMA Oncol"},{"issue":"1876","key":"619_CR104","doi-asserted-by":"crossref","first-page":"20210495","DOI":"10.1098\/rstb.2021.0495","volume":"378","author":"A Stein","year":"2023","unstructured":"Stein A et al (2023) Stackelberg evolutionary game theory: how to manage evolving systems. Philos Royal Soc B 378(1876):20210495","journal-title":"Philos Royal Soc B"},{"key":"619_CR105","first-page":"101","volume":"1","author":"PD Straffin Jr","year":"1980","unstructured":"Straffin PD Jr (1980) The prisoner\u2019s dilemma. UMAP J 1:101\u2013103","journal-title":"UMAP J"},{"issue":"1","key":"619_CR106","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1103\/PhysRevE.58.69","volume":"58","author":"Szab\u00f3 Gy\u00f6rgy","year":"1998","unstructured":"Gy\u00f6rgy Szab\u00f3, Csaba T\u0151ke (1998) Evolutionary prisoner\u2019s dilemma game on a square lattice. Phys Rev E 58(1):69","journal-title":"Phys Rev E"},{"key":"619_CR107","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1140\/epjb\/e2006-00395-2","volume":"53","author":"C-L Tang","year":"2006","unstructured":"Tang C-L et al (2006) Effects of average degree on cooperation in networked evolutionary game. Eur Phys J B-Condensed Matter Complex Syst 53:411\u2013415","journal-title":"Eur Phys J B-Condensed Matter Complex Syst"},{"issue":"1\u20132","key":"619_CR108","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0025-5564(78)90077-9","volume":"40","author":"PD Taylor","year":"1978","unstructured":"Taylor PD, Jonker LB (1978) Evolutionary stable strategies and game dynamics. Math Biosci 40(1\u20132):145\u2013156","journal-title":"Math Biosci"},{"issue":"9","key":"619_CR109","doi-asserted-by":"crossref","first-page":"1495","DOI":"10.1016\/S0959-8049(97)00170-6","volume":"33","author":"PM Tomlinson Ian","year":"1997","unstructured":"Tomlinson Ian PM (1997) Game-theory models of interactions between tumour cells. Eur J Cancer 33(9):1495\u20131500","journal-title":"Eur J Cancer"},{"issue":"24","key":"619_CR110","volume":"120","author":"A Traulsen","year":"2023","unstructured":"Traulsen A, Levin SA, Saad-Roy CM (2023) Individual costs and societal benefits of interventions during the COVID-19 pandemic. Proce Natl Acad Sci 120(24):e2303546120","journal-title":"Proce Natl Acad Sci"},{"issue":"3","key":"619_CR111","doi-asserted-by":"crossref","first-page":"228","DOI":"10.2307\/3027092","volume":"14","author":"AW Tucker","year":"1983","unstructured":"Tucker AW, Straffin Jr Philip D (1983) The mathematics of Tucker: a sampler. Two-Year College Math J 14(3):228\u2013232","journal-title":"Two-Year College Math J"},{"issue":"7","key":"619_CR112","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1038\/s41576-019-0114-6","volume":"20","author":"S Turajlic","year":"2019","unstructured":"Turajlic S et al (2019) Resolving genetic heterogeneity in cancer. Nature Rev Gene 20(7):404\u2013416","journal-title":"Nature Rev Gene"},{"key":"619_CR113","doi-asserted-by":"crossref","unstructured":"Vega-Redondo Fernando (2007) Complex social networks. 44. Cambridge University Press","DOI":"10.1017\/CBO9780511804052"},{"issue":"2\u20133","key":"619_CR114","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0304-3800(95)00180-8","volume":"92","author":"TL Vincent","year":"1996","unstructured":"Vincent TL (1996) Modeling and managing the evolutionary component of biological systems. Ecol Model 92(2\u20133):145\u2013153","journal-title":"Ecol Model"},{"key":"619_CR115","first-page":"1","volume":"88","author":"Wang Zhen","year":"2015","unstructured":"Zhen Wang et al (2015) Evolutionary games on multilayer networks: a colloquium. Eur Phys J B 88:1\u201315","journal-title":"Eur Phys J B"},{"key":"619_CR116","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2020.112969","volume":"380","author":"X Wang","year":"2020","unstructured":"Wang X et al (2020) Vaccination behavior by coupling the epidemic spreading with the human decision under the game theory. Appl Math Comput 380:125232","journal-title":"Appl Math Comput"},{"key":"619_CR117","doi-asserted-by":"crossref","first-page":"P11017","DOI":"10.1088\/1742-5468\/2012\/11\/P11017","volume":"11","author":"B Wang","year":"2012","unstructured":"Wang B, Chen X (2012) Wang L (2012) Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game. J Stat Mech Theory Exp 11:P11017","journal-title":"J Stat Mech Theory Exp"},{"key":"619_CR118","doi-asserted-by":"crossref","unstructured":"Waser Nickolas M, Forrest Jessica RK (2014) \u201cPollination by animals\u201d. In: Encyclopedia of life sciences. John Wiley & Sons, Ltd","DOI":"10.1002\/9780470015902.a0003163.pub3"},{"key":"619_CR119","doi-asserted-by":"crossref","DOI":"10.1142\/8973","volume-title":"Dynamics of cancer: mathematical foundations of oncology","author":"Wodarz Dominik","year":"2014","unstructured":"Dominik Wodarz, Natalia Komarova (2014) Dynamics of cancer: mathematical foundations of oncology. World Scientific"},{"issue":"2","key":"619_CR120","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/s13235-021-00397-w","volume":"12","author":"B W\u00f6lfl","year":"2022","unstructured":"W\u00f6lfl B et al (2022) The contribution of evolutionary game theory to understanding and treating cancer. Dyn Games Appl 12(2):313\u2013342","journal-title":"Dyn Games Appl"},{"issue":"1894","key":"619_CR121","doi-asserted-by":"crossref","first-page":"20182406","DOI":"10.1098\/rspb.2018.2406","volume":"286","author":"Xingru Chen and Feng Fu","year":"2019","unstructured":"Xingru Chen and Feng Fu (2019) Imperfect vaccine and hysteresis. Proce Royal Soc B 286(1894):20182406","journal-title":"Proce Royal Soc B"},{"key":"619_CR122","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.epidem.2019.03.002","volume":"27","author":"Y Yang","year":"2019","unstructured":"Yang Y et al (2019) Efficient vaccination strategies for epidemic control using network information. Epidemics 27:115\u2013122","journal-title":"Epidemics"},{"issue":"1","key":"619_CR123","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1038\/s41598-020-80770-8","volume":"11","author":"G Yang","year":"2021","unstructured":"Yang G et al (2021) Strategically positioning cooperators can facilitate the contagion of cooperation. Sci Rep 11(1):1127","journal-title":"Sci Rep"},{"key":"619_CR124","volume":"12","author":"JC Yong","year":"2021","unstructured":"Yong JC, Choy BKC (2021) Noncompliance with safety guidelines as a free-riding strategy: an evolutionary game-theoretic approach to cooperation during the COVID-19 pandemic. Front Psychol 12:646892","journal-title":"Front Psychol"},{"key":"619_CR125","doi-asserted-by":"crossref","unstructured":"Zhang J et\u00a0al (2017) Integrating evolutionary dynamics into treatment of metastatic castrate-resistant prostate cancer. Nature Commun 8(1):1816","DOI":"10.1038\/s41467-017-01968-5"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-025-00619-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13235-025-00619-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-025-00619-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T06:16:32Z","timestamp":1761286592000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13235-025-00619-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,19]]},"references-count":125,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,11]]}},"alternative-id":["619"],"URL":"https:\/\/doi.org\/10.1007\/s13235-025-00619-5","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,2,19]]},"assertion":[{"value":"11 January 2025","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2025","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}