{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T07:56:03Z","timestamp":1766044563364,"version":"3.48.0"},"reference-count":62,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T00:00:00Z","timestamp":1766016000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T00:00:00Z","timestamp":1766016000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/501100012456","name":"National Social Science Foundation of China","doi-asserted-by":"crossref","award":["No.22BGL217"],"award-info":[{"award-number":["No.22BGL217"]}],"id":[{"id":"10.13039\/501100012456","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Knowl Inf Syst"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1007\/s10115-025-02622-z","type":"journal-article","created":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T07:52:49Z","timestamp":1766044369000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Collective warming versus strategic alliances: Which emerges more readily? A networked evolutionary game analysis in status-equal populations"],"prefix":"10.1007","volume":"68","author":[{"given":"Mengmeng","family":"Liu","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,12,18]]},"reference":[{"key":"2622_CR1","doi-asserted-by":"publisher","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 359:826\u2013829. https:\/\/doi.org\/10.1038\/359826a0","journal-title":"Nature"},{"key":"2622_CR2","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1038\/nature21723","volume":"544","author":"B Allen","year":"2017","unstructured":"Allen B et al (2017) Evolutionary dynamics on any population structure. Nature 544:227\u2013230. https:\/\/doi.org\/10.1038\/nature21723","journal-title":"Nature"},{"key":"2622_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2024.129071","volume":"486","author":"T You","year":"2025","unstructured":"You T et al (2025) The guidance of neutral human populations maintains cooperation in the prisoner\u2019s dilemma game. Appl Math Comput 486:129071. https:\/\/doi.org\/10.1016\/j.amc.2024.129071","journal-title":"Appl Math Comput"},{"key":"2622_CR4","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2024.128439","volume":"607","author":"J Wang","year":"2024","unstructured":"Wang J et al (2024) Mixing prisoner\u2019s dilemma games on higher-order networks. Neurocomputing 607:128439. https:\/\/doi.org\/10.1016\/j.neucom.2024.128439","journal-title":"Neurocomputing"},{"key":"2622_CR5","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2023.128226","volume":"458","author":"H-W Lee","year":"2023","unstructured":"Lee H-W, Cleveland C, Szolnoki A (2023) Restoring spatial cooperation with myopic agents in a three-strategy social dilemma. Appl Math Comput 458:128226. https:\/\/doi.org\/10.1016\/j.amc.2023.128226","journal-title":"Appl Math Comput"},{"key":"2622_CR6","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/s13235-023-00513-y","volume":"14","author":"O Aydogmus","year":"2024","unstructured":"Aydogmus O, Kang Y (2024) Deterministic approximation of a stochastic imitation dynamics with memory. Dyn Games Appl 14:525\u2013548. https:\/\/doi.org\/10.1007\/s13235-023-00513-y","journal-title":"Dyn Games Appl"},{"key":"2622_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2024.114565","volume":"180","author":"L Chen","year":"2024","unstructured":"Chen L, Deng C, Duong MH, Han TA (2024) On the number of equilibria of the replicator-mutator dynamics for noisy social dilemmas. Chaos Solitons Fractals 180:114565. https:\/\/doi.org\/10.1016\/j.chaos.2024.114565","journal-title":"Chaos Solitons Fractals"},{"key":"2622_CR8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2023.128463","volume":"466","author":"MR Arefin","year":"2024","unstructured":"Arefin MR, Tanimoto J (2024) Coupling injunctive social norms with evolutionary games. Appl Math Comput 466:128463. https:\/\/doi.org\/10.1016\/j.amc.2023.128463","journal-title":"Appl Math Comput"},{"key":"2622_CR9","doi-asserted-by":"publisher","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 95:098104. https:\/\/doi.org\/10.1103\/PhysRevLett.95.098104","journal-title":"Phys Rev Lett"},{"key":"2622_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2025.129381","volume":"497","author":"S Lu","year":"2025","unstructured":"Lu S, Wang Y (2025) Experience-driven learning and interactive rules under link weight adjustment promote cooperation in spatial prisoner\u2019s dilemma game. Appl Math Comput 497:129381. https:\/\/doi.org\/10.1016\/j.amc.2025.129381","journal-title":"Appl Math Comput"},{"key":"2622_CR11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2025.130489","author":"L Li","year":"2025","unstructured":"Li L, Lv J, Ruan J, Ma L (2025) The effects of dynamic peer pressure on the evolution of cooperation in complex networks. Phy A Stat Mec Appl. https:\/\/doi.org\/10.1016\/j.physa.2025.130489","journal-title":"Phy A Stat Mec Appl"},{"key":"2622_CR12","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-020-16088-w","author":"A Li","year":"2020","unstructured":"Li A et al (2020) Evolution of cooperation on temporal networks. Nat Commun. https:\/\/doi.org\/10.1038\/s41467-020-16088-w","journal-title":"Nat Commun"},{"key":"2622_CR13","doi-asserted-by":"publisher","first-page":"20240055","DOI":"10.1098\/rsif.2024.0055","volume":"21","author":"X Wang","year":"2024","unstructured":"Wang X, Fu F, Wang L (2024) Deterministic theory of evolutionary games on temporal networks. J R Soc Interface 21:20240055. https:\/\/doi.org\/10.1098\/rsif.2024.0055","journal-title":"J R Soc Interface"},{"key":"2622_CR14","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1038\/s42005-025-01940-6","volume":"8","author":"X-X Zhan","year":"2025","unstructured":"Zhan X-X et al (2025) Measuring and utilizing temporal network dissimilarity. Commun Phy 8:40. https:\/\/doi.org\/10.1038\/s42005-025-01940-6","journal-title":"Commun Phy"},{"key":"2622_CR15","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1016\/j.physa.2018.09.046","volume":"513","author":"H Takesue","year":"2019","unstructured":"Takesue H (2019) Effects of updating rules on the coevolving prisoner\u2019s dilemma. Phy A 513:399\u2013408. https:\/\/doi.org\/10.1016\/j.physa.2018.09.046","journal-title":"Phy A"},{"key":"2622_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2020.125543","volume":"388","author":"H Takesue","year":"2021","unstructured":"Takesue H (2021) Symmetry breaking in the prisoner\u2019s dilemma on two-layer dynamic multiplex networks. Appl Math Comput 388:125543. https:\/\/doi.org\/10.1016\/j.amc.2020.125543","journal-title":"Appl Math Comput"},{"key":"2622_CR17","doi-asserted-by":"publisher","first-page":"48005","DOI":"10.1209\/0295-5075\/121\/48005","volume":"121","author":"H Takesue","year":"2018","unstructured":"Takesue H (2018) Evolutionary prisoner\u2019s dilemma games on the network with punishment and opportunistic partner switching. EPL 121:48005. https:\/\/doi.org\/10.1209\/0295-5075\/121\/48005","journal-title":"EPL"},{"key":"2622_CR18","doi-asserted-by":"publisher","first-page":"710","DOI":"10.1016\/j.amc.2017.09.048","volume":"320","author":"A Bandyopadhyay","year":"2018","unstructured":"Bandyopadhyay A, Kar S (2018) Coevolution of cooperation and network structure in social dilemmas in evolutionary dynamic complex network. Appl Math Comput 320:710\u2013730. https:\/\/doi.org\/10.1016\/j.amc.2017.09.048","journal-title":"Appl Math Comput"},{"key":"2622_CR19","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.amc.2016.07.018","volume":"292","author":"JE Bahbouhi","year":"2017","unstructured":"Bahbouhi JE, Moussa N (2017) Prisoner\u2019s dilemma game model for e-commerce. Appl Math Comput 292:128\u2013144. https:\/\/doi.org\/10.1016\/j.amc.2016.07.018","journal-title":"Appl Math Comput"},{"key":"2622_CR20","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1109\/TEVC.2016.2628385","volume":"21","author":"J Li","year":"2016","unstructured":"Li J, Zhang C, Sun Q, Chen Z, Zhang J (2016) Changing the intensity of interaction based on individual behavior in the iterated prisoner\u2019s dilemma game. IEEE Trans Evol Comput 21:506\u2013517. https:\/\/doi.org\/10.1109\/TEVC.2016.2628385","journal-title":"IEEE Trans Evol Comput"},{"key":"2622_CR21","doi-asserted-by":"publisher","first-page":"3143","DOI":"10.1007\/s11071-021-07137-0","volume":"107","author":"J Li","year":"2022","unstructured":"Li J, Dang J, Zhang J, Chen Z, Dehmer M (2022) Degree of satisfaction-based adaptive interaction in spatial prisoner\u2019s dilemma. Nonlinear Dyn 107:3143\u20133154. https:\/\/doi.org\/10.1007\/s11071-021-07137-0","journal-title":"Nonlinear Dyn"},{"key":"2622_CR22","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/j.chaos.2015.06.006","volume":"77","author":"J Li","year":"2015","unstructured":"Li J, Zhang C, Sun Q, Chen Z (2015) Coevolution between strategy and social networks structure promotes cooperation. Chaos Solitons Fractals 77:253\u2013263. https:\/\/doi.org\/10.1016\/j.chaos.2015.06.006","journal-title":"Chaos Solitons Fractals"},{"key":"2622_CR23","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/aac91b","volume":"2018","author":"W-J Li","year":"2018","unstructured":"Li W-J, Jiang L-L, Gu C, Yang H (2018) Influentials promote cooperation in spatial snowdrift games. J Statal Mech Theory Exp 2018:063406. https:\/\/doi.org\/10.1088\/1742-5468\/aac91b","journal-title":"J Statal Mech Theory Exp"},{"key":"2622_CR24","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/abd4cf","volume":"2021","author":"X Li","year":"2021","unstructured":"Li X, Hao G, Wang H, Xia C, Perc M (2021) Reputation preferences resolve social dilemmas in spatial multigames. J Stat Mech Theory Exp 2021:013403. https:\/\/doi.org\/10.1088\/1742-5468\/abd4cf","journal-title":"J Stat Mech Theory Exp"},{"key":"2622_CR25","doi-asserted-by":"publisher","first-page":"1222489","DOI":"10.3389\/fphy.2023.1222489","volume":"11","author":"C Liu","year":"2023","unstructured":"Liu C, Wang H, Dai Y (2023) How do the joint effects of aspiration and social influence promote cooperation in the prisoner\u2019s dilemma game? Frontiers Phys 11:1222489. https:\/\/doi.org\/10.3389\/fphy.2023.1222489","journal-title":"Frontiers Phys"},{"key":"2622_CR26","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.amc.2018.02.041","volume":"330","author":"H Xu","year":"2018","unstructured":"Xu H, Tian C, Xiao X, Fan S (2018) Evolutionary investors\u2019 power-based game on networks. Appl Math Comput 330:125\u2013133. https:\/\/doi.org\/10.1016\/j.amc.2018.02.041","journal-title":"Appl Math Comput"},{"key":"2622_CR27","doi-asserted-by":"publisher","first-page":"14097","DOI":"10.1038\/s41598-018-32292-7","volume":"8","author":"S Zhang","year":"2018","unstructured":"Zhang S, Zhang Z, Wu Y, Li Y, Xie Y (2018) Coevolution of teaching ability and cooperation in spatial evolutionary games. Sci Rep 8:14097. https:\/\/doi.org\/10.1038\/s41598-018-32292-7","journal-title":"Sci Rep"},{"key":"2622_CR28","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aaf334","volume":"20","author":"C Liu","year":"2018","unstructured":"Liu C et al (2018) Popularity enhances the interdependent network reciprocity. New J Phys 20:123012. https:\/\/doi.org\/10.1088\/1367-2630\/aaf334","journal-title":"New J Phys"},{"key":"2622_CR29","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.amc.2019.01.060","volume":"353","author":"J Xu","year":"2019","unstructured":"Xu J et al (2019) Popularity-driven strategy updating rule promotes cooperation in the spatial prisoner\u2019s dilemma game. Appl Math Comput 353:82\u201387. https:\/\/doi.org\/10.1016\/j.amc.2019.01.060","journal-title":"Appl Math Comput"},{"key":"2622_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.06.007","volume":"362","author":"C Chu","year":"2019","unstructured":"Chu C et al (2019) Reputation-based popularity promotes cooperation in the spatial prisoner\u2019s dilemma game. Appl Math Comput 362:124493. https:\/\/doi.org\/10.1016\/j.amc.2019.06.007","journal-title":"Appl Math Comput"},{"key":"2622_CR31","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.109701","volume":"134","author":"S Li","year":"2020","unstructured":"Li S, Hong L, Geng Y, Shen C (2020) Popularity-driven fitness calculation promotes cooperation in spatial prisoner\u2019s dilemma game. Chaos Solitons Fractals 134:109701. https:\/\/doi.org\/10.1016\/j.chaos.2020.109701","journal-title":"Chaos Solitons Fractals"},{"key":"2622_CR32","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/j.ejpoleco.2018.07.008","volume":"56","author":"J Sauermann","year":"2019","unstructured":"Sauermann J, Beckmann P (2019) The influence of group size on distributional fairness under voting by veto. Eur J Polit Econ 56:90\u2013102. https:\/\/doi.org\/10.1016\/j.ejpoleco.2018.07.008","journal-title":"Eur J Polit Econ"},{"key":"2622_CR33","doi-asserted-by":"publisher","first-page":"1145572","DOI":"10.3389\/fpsyg.2023.1145572","volume":"14","author":"E Pellegrino","year":"2023","unstructured":"Pellegrino E, Dellwo V (2023) Speakers are more cooperative and less individual when interacting in larger group sizes. Front Psychol 14:1145572. https:\/\/doi.org\/10.3389\/fpsyg.2023.1145572","journal-title":"Front Psychol"},{"key":"2622_CR34","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2014.01404","author":"MW Kraus","year":"2014","unstructured":"Kraus MW, Park JW (2014) The undervalued self: social class and self-evaluation. Frontiers Psychol. https:\/\/doi.org\/10.3389\/fpsyg.2014.01404","journal-title":"Frontiers Psychol"},{"key":"2622_CR35","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/s10942-023-00509-y","volume":"42","author":"TPT Tran","year":"2024","unstructured":"Tran TPT, Vo ATN, Nguyen AH, Nguyen TM (2024) Exploring the mechanism of subjective social status on compulsive shopping behavior: a moderated mediation model of self-compassion and depression. J Ration Emot Cognitive Behav Ther 42:226\u2013244. https:\/\/doi.org\/10.1007\/s10942-023-00509-y","journal-title":"J Ration Emot Cognitive Behav Ther"},{"key":"2622_CR36","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2023.127881","volume":"446","author":"J Li","year":"2023","unstructured":"Li J, Zhang J, Chen Z, Liu Q (2023) Aspiration drives adaptive switching between two different payoff matrices. Appl Math Comput 446:127881. https:\/\/doi.org\/10.1016\/j.amc.2023.127881","journal-title":"Appl Math Comput"},{"key":"2622_CR37","doi-asserted-by":"publisher","first-page":"2286","DOI":"10.3837\/tiis.2016.05.018","volume":"10","author":"J Liao","year":"2016","unstructured":"Liao J, Gong J, Jiang S, Li T, Wang J (2016) Conflicts in overlay environments: inefficient equilibrium and incentive mechanism. KSII Trans Internet Inf Syst 10:2286\u20132309. https:\/\/doi.org\/10.3837\/tiis.2016.05.018","journal-title":"KSII Trans Internet Inf Syst"},{"key":"2622_CR38","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-018-19503-x","author":"X Han","year":"2018","unstructured":"Han X et al (2018) Equal status in ultimatum games promotes rational sharing. Sci Rep. https:\/\/doi.org\/10.1038\/s41598-018-19503-x","journal-title":"Sci Rep"},{"key":"2622_CR39","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2023.128878","volume":"622","author":"Y Yang","year":"2023","unstructured":"Yang Y, Sun H, Hou D (2023) Heterogeneous negotiation undermines cooperation in prisoner\u2019s dilemma game. Phys A 622:128878. https:\/\/doi.org\/10.1016\/j.physa.2023.128878","journal-title":"Phys A"},{"key":"2622_CR40","doi-asserted-by":"publisher","DOI":"10.1007\/s12110-024-09483-5","author":"Y Zhang","year":"2024","unstructured":"Zhang Y, Zhu Q, Li Z (2024) The nature and motivation of human cooperation from variant public goods games. Hum Nat. https:\/\/doi.org\/10.1007\/s12110-024-09483-5","journal-title":"Hum Nat"},{"key":"2622_CR41","doi-asserted-by":"publisher","first-page":"1509","DOI":"10.1086\/729945","volume":"86","author":"JF Edgerton","year":"2024","unstructured":"Edgerton JF (2024) Cooperative communities in the international system: networked cooperation of similar states. J Politics 86:1509\u20131523. https:\/\/doi.org\/10.1086\/729945","journal-title":"J Politics"},{"key":"2622_CR42","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1016\/j.physbeh.2006.04.024","volume":"88","author":"C Gilbert","year":"2006","unstructured":"Gilbert C, Robertson G, Le Maho Y, Naito Y, Ancel A (2006) Huddling behavior in emperor penguins: dynamics of huddling. Physiol Behav 88:479\u2013488. https:\/\/doi.org\/10.1016\/j.physbeh.2006.04.024","journal-title":"Physiol Behav"},{"key":"2622_CR43","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.knosys.2018.04.036","volume":"155","author":"C Zhang","year":"2018","unstructured":"Zhang C, Li Q, Xu Z, Zhang J (2018) Stochastic dynamics of division of labor games in finite populations. Knowl Based Syst 155:11\u201321. https:\/\/doi.org\/10.1016\/j.knosys.2018.04.036","journal-title":"Knowl Based Syst"},{"key":"2622_CR44","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-70205-6","volume-title":"Statistical physics and computational methods for evolutionary game theory","author":"MA Javarone","year":"2018","unstructured":"Javarone MA (2018) Statistical physics and computational methods for evolutionary game theory. Springer International Publishing, New York"},{"key":"2622_CR45","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2022.127935","volume":"428","author":"Y Shen","year":"2022","unstructured":"Shen Y, Yin W, Kang H, Zhang H, Wang M (2022) High-reputation individuals exert greater influence on cooperation in spatial public goods game. Phys Lett A 428:127935. https:\/\/doi.org\/10.1016\/j.physleta.2022.127935","journal-title":"Phys Lett A"},{"key":"2622_CR46","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2023.114385","volume":"178","author":"H-W Lee","year":"2024","unstructured":"Lee H-W, Cleveland C, Szolnoki A (2024) Supporting punishment via taxation in a structured population. Chaos Solitons Fractals 178:114385. https:\/\/doi.org\/10.1016\/j.chaos.2023.114385","journal-title":"Chaos Solitons Fractals"},{"key":"2622_CR47","doi-asserted-by":"publisher","first-page":"1781","DOI":"10.1038\/s41598-017-01955-2","volume":"7","author":"G Armano","year":"2017","unstructured":"Armano G, Javarone MA (2017) The beneficial role of mobility for the emergence of innovation. Sci Rep 7:1781. https:\/\/doi.org\/10.1038\/s41598-017-01955-2","journal-title":"Sci Rep"},{"issue":"1063\/5","key":"2622_CR48","first-page":"0236333","volume":"10","author":"D Lyu","year":"2024","unstructured":"Lyu D, Liu H, Deng C, Wang X (2024) Promotion of cooperation in a structured population with environmental feedbacks. Chaos Interdiscip J Nonlinear Sci 10(1063\/5):0236333","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"2622_CR49","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1016\/j.amc.2016.09.007","volume":"294","author":"W Ye","year":"2017","unstructured":"Ye W, Fan S (2017) Evolutionary snowdrift game with rational selection based on radical evaluation. Appl Math Comput 294:310\u2013317. https:\/\/doi.org\/10.1016\/j.amc.2016.09.007","journal-title":"Appl Math Comput"},{"issue":"1063\/5","key":"2622_CR50","first-page":"0234041","volume":"10","author":"X Liu","year":"2024","unstructured":"Liu X, Yang B, Hu Z-L, Al-Qaness MA, Tang C (2024) When multi-group selection meets mystery of cooperation in structured public goods games. Chaos Interdiscip J Nonlinear Sci 10(1063\/5):0234041","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"2622_CR51","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/s11047-016-9546-5","volume":"16","author":"X Wang","year":"2017","unstructured":"Wang X, Zhang L, Du X, Sun Y (2017) Evolving cooperation in spatial population with punishment by using pso algorithm. Nat Comput 16:99\u2013117. https:\/\/doi.org\/10.1007\/s11047-016-9546-5","journal-title":"Nat Comput"},{"issue":"1063\/5","key":"2622_CR52","first-page":"0215702","volume":"10","author":"C Zhao","year":"2024","unstructured":"Zhao C, Zheng G, Zhang C, Zhang J, Chen L (2024) Emergence of cooperation under punishment: a reinforcement learning perspective. Chaos Interdiscip J Nonlinear Sci 10(1063\/5):0215702","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"2622_CR53","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1016\/j.chaos.2017.05.027","volume":"101","author":"W Zhen","year":"2017","unstructured":"Zhen W, Tong C, Wang Y (2017) Leadership by example promotes the emergence of cooperation in public goods game. Chaos Solitons Fractals 101:100\u2013105. https:\/\/doi.org\/10.1016\/j.chaos.2017.05.027","journal-title":"Chaos Solitons Fractals"},{"key":"2622_CR54","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2024.128709","volume":"474","author":"X Bai","year":"2024","unstructured":"Bai X, Ye Y, Chen T, Xie N (2024) The evolutionary game of emotions considering the influence of reputation. Appl Math Comput 474:128709. https:\/\/doi.org\/10.1016\/j.amc.2024.128709","journal-title":"Appl Math Comput"},{"key":"2622_CR55","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.amc.2016.06.026","volume":"293","author":"C Wang","year":"2017","unstructured":"Wang C, Wang L, Wang J, Sun S, Xia C (2017) Inferring the reputation enhances the cooperation in the public goods game on interdependent lattices. Appl Math Comput 293:18\u201329. https:\/\/doi.org\/10.1016\/j.amc.2016.06.026","journal-title":"Appl Math Comput"},{"key":"2622_CR56","doi-asserted-by":"publisher","first-page":"726","DOI":"10.1111\/j.1420-9101.2005.01063.x","volume":"19","author":"FC Santos","year":"2006","unstructured":"Santos FC, Pacheco JM (2006) A new route to the evolution of cooperation. J Evol Biol 19:726. https:\/\/doi.org\/10.1111\/j.1420-9101.2005.01063.x","journal-title":"J Evol Biol"},{"key":"2622_CR57","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/j.physa.2016.04.045","volume":"461","author":"K Zhang","year":"2016","unstructured":"Zhang K, Cheng H (2016) Co-evolution of payoff strategy and interaction strategy in prisoner\u2019s dilemma game. Phys A Stat Mech Appl 461:439\u2013445. https:\/\/doi.org\/10.1016\/j.physa.2016.04.045","journal-title":"Phys A Stat Mech Appl"},{"key":"2622_CR58","doi-asserted-by":"publisher","first-page":"14657","DOI":"10.1038\/srep14657","volume":"5","author":"LL Jiang","year":"2015","unstructured":"Jiang LL, Li WJ, Wang Z (2015) Multiple effect of social influence on cooperation in interdependent network games. Sci Rep 5:14657. https:\/\/doi.org\/10.1038\/srep14657","journal-title":"Sci Rep"},{"key":"2622_CR59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.88.042145","volume":"88","author":"Z Wang","year":"2013","unstructured":"Wang Z, Kokubo S, Tanimoto J, Fukuda E, Shigaki K (2013) Insight into the so-called spatial reciprocity. Phys Rev E Statal Nonlinear Soft Matter Phys 88:042145. https:\/\/doi.org\/10.1103\/PhysRevE.88.042145","journal-title":"Phys Rev E Statal Nonlinear Soft Matter Phys"},{"key":"2622_CR60","doi-asserted-by":"publisher","unstructured":"Yang H-X, Rong Z (2015) Mutual punishment promotes cooperation in the spatial public goods game. Chaos Solitons Fractals 77:230\u2013234. https:\/\/doi.org\/10.1016\/j.chaos.2015.06.002","DOI":"10.1016\/j.chaos.2015.06.002"},{"key":"2622_CR61","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.91.022121","volume":"91","author":"H-X Yang","year":"2015","unstructured":"Yang H-X, Wu Z-X, Rong Z, Lai Y-C (2015) Peer pressure: enhancement of cooperation through mutual punishment. Phys Rev E 91:022121. https:\/\/doi.org\/10.1103\/PhysRevE.91.022121","journal-title":"Phys Rev E"},{"key":"2622_CR62","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/j.chaos.2018.03.036","volume":"110","author":"S Zhang","year":"2018","unstructured":"Zhang S, Zhang Z, Wu Y, Yan M, Xie Y (2018) Tolerance-based punishment and cooperation in spatial public goods game. Chaos Solitons Fractals 110:267\u2013272. https:\/\/doi.org\/10.1016\/j.chaos.2018.03.036","journal-title":"Chaos Solitons Fractals"}],"container-title":["Knowledge and Information Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10115-025-02622-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10115-025-02622-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10115-025-02622-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T07:52:51Z","timestamp":1766044371000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10115-025-02622-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,18]]},"references-count":62,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,12]]}},"alternative-id":["2622"],"URL":"https:\/\/doi.org\/10.1007\/s10115-025-02622-z","relation":{},"ISSN":["0219-1377","0219-3116"],"issn-type":[{"value":"0219-1377","type":"print"},{"value":"0219-3116","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,18]]},"assertion":[{"value":"18 April 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 August 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 November 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 December 2025","order":4,"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"}}],"article-number":"7"}}