{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T16:09:09Z","timestamp":1760890149303},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T00:00:00Z","timestamp":1600732800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T00:00:00Z","timestamp":1600732800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Spanish Government","award":["PGC2018-093854-B-I00"],"award-info":[{"award-number":["PGC2018-093854-B-I00"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2020,10]]},"DOI":"10.1007\/s11128-020-02860-w","type":"journal-article","created":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T21:34:45Z","timestamp":1600810485000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Cellular automaton simulation of the quantum war of attrition game"],"prefix":"10.1007","volume":"19","author":[{"given":"Ramon","family":"Alonso-Sanz","sequence":"first","affiliation":[]},{"given":"Andrew","family":"Adamatzky","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,22]]},"reference":[{"key":"2860_CR1","volume-title":"Reaction-Diffusion Computers","author":"A Adamatzky","year":"2005","unstructured":"Adamatzky, A., Costello, B.D.L., Asai, T.: Reaction-Diffusion Computers. Elsevier, Amsterdam (2005)"},{"key":"2860_CR2","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1007\/s11128-017-1610-2","volume":"16","author":"R Alonso-Sanz","year":"2017","unstructured":"Alonso-Sanz, R.: On the effect of quantum noise in a quantum prisoner\u2019s dilemma cellular automaton. Quantum Inf. Process. 16, 161 (2017)","journal-title":"Quantum Inf. Process."},{"key":"2860_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-19634-9","volume-title":"Quantum Game Simulation","author":"R Alonso-Sanz","year":"2019","unstructured":"Alonso-Sanz, R.: Quantum Game Simulation. Springer, Berlin (2019)"},{"key":"2860_CR4","doi-asserted-by":"publisher","first-page":"122116","DOI":"10.1016\/j.physa.2019.122116","volume":"534","author":"R Alonso-Sanz","year":"2019","unstructured":"Alonso-Sanz, R.: Simulation of the quantum Cournot duopoly game. Phys. A 534, 122116 (2019)","journal-title":"Phys. A"},{"key":"2860_CR5","doi-asserted-by":"publisher","first-page":"124867","DOI":"10.1016\/j.physa.2020.124867","volume":"557","author":"R Alonso-Sanz","year":"2020","unstructured":"Alonso-Sanz, R., Adamatzky, A.: Spatial simulation of the quantum Bertrand duopoly game. Phys. A 557, 124867 (2020)","journal-title":"Phys. A"},{"key":"2860_CR6","doi-asserted-by":"publisher","first-page":"124271","DOI":"10.1016\/j.physa.2020.124271","volume":"553","author":"R Alonso-Sanz","year":"2020","unstructured":"Alonso-Sanz, R., Martin-Gutierrez, S.: The free-rider in the quantum Stackelberg duopoly game. Phys. A 553, 124271 (2020)","journal-title":"Phys. A"},{"issue":"1","key":"2860_CR7","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/0022-5193(78)90304-1","volume":"70","author":"DT Bishop","year":"1978","unstructured":"Bishop, D.T., Cannings, C.: A generalized war of attrition. J. Theor. Biol. 70(1), 85\u2013124 (1978)","journal-title":"J. Theor. Biol."},{"key":"2860_CR8","unstructured":"Chen, Y., Qin, G., Wang, A.M. (2014). Quantization of the location stage of Hotelling model. arXiv preprint arXiv:1410.2779"},{"issue":"15","key":"2860_CR9","doi-asserted-by":"publisher","first-page":"3077","DOI":"10.1103\/PhysRevLett.83.3077","volume":"83","author":"J Eisert","year":"1999","unstructured":"Eisert, J., Wilkens, M., Lewenstein, M.: Quantum games and quantum strategies. Phys. Rev. Lett. 83(15), 3077\u20133080 (1999)","journal-title":"Phys. Rev. Lett."},{"key":"2860_CR10","volume-title":"Game Theory","author":"D Fudenberg","year":"1991","unstructured":"Fudenberg, D., Tirole, J.: Game Theory. The Mit Press, Cambridge (1991)"},{"key":"2860_CR11","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s11128-018-2082-8","volume":"17","author":"FS Khan","year":"2018","unstructured":"Khan, F.S., Solmeyer, N., Balu, R., Humble, T.: Quantum games: a review of the history, current state, and interpretation. Quantum Inf. Process. 17, 309 (2018)","journal-title":"Quantum Inf. Process."},{"key":"2860_CR12","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/S0375-9601(02)01628-6","volume":"306","author":"H Li","year":"2002","unstructured":"Li, H., Du, J., Massar, S.: Continuous-variable quantum games. Phys. Lett. A 306, 73\u201378 (2002)","journal-title":"Phys. Lett. A"},{"key":"2860_CR13","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.physleta.2003.09.047","volume":"318","author":"CF Lo","year":"2003","unstructured":"Lo, C.F., Kiang, D.: Quantum Stackelberg duopoly. Phys. Lett. A 318, 333\u2013336 (2003)","journal-title":"Phys. Lett. A"},{"issue":"2","key":"2860_CR14","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.physleta.2003.12.013","volume":"321","author":"CF Lo","year":"2004","unstructured":"Lo, C.F., Kiang, D.: Quantum Bertrand duopoly with differentiated products. Phys. Lett. A 321(2), 94\u201398 (2004)","journal-title":"Phys. Lett. A"},{"issue":"5","key":"2860_CR15","doi-asserted-by":"publisher","first-page":"1052","DOI":"10.1103\/PhysRevLett.82.1052","volume":"82","author":"DA Meyer","year":"1999","unstructured":"Meyer, D.A.: Quantum strategies. Phys. Rev. Lett. 82(5), 1052 (1999)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"2860_CR16","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/0022-5193(74)90110-6","volume":"47","author":"SJ Maynard-Smith","year":"1974","unstructured":"Maynard-Smith, S.J.: The theory of games and the evolution of animal conflict. J. Theor. Biol. 47(1), 209\u2013221 (1974)","journal-title":"J. Theor. Biol."},{"key":"2860_CR17","volume-title":"An Introduction to Game Theory","author":"MJ Osborne","year":"2009","unstructured":"Osborne, M.J.: An Introduction to Game Theory. Oxford UP, Oxford (2009)"},{"issue":"6","key":"2860_CR18","doi-asserted-by":"publisher","first-page":"e64694","DOI":"10.1371\/journal.pone.0064694","volume":"8","author":"L Pawela","year":"2013","unstructured":"Pawela, L., Gawron, P., Puchala, Z., Sladkowski, J.: Enhancing pseudo-telepathy in the magic square game. PLoS ONE 8(6), e64694 (2013)","journal-title":"PLoS ONE"},{"key":"2860_CR19","unstructured":"Popper, K.: The Open Society and Its Enemies. Vol. I, The Age of Plato. Princeton University Press (originally Routledge), Princeton (2013). [1945]"},{"issue":"45","key":"2860_CR20","doi-asserted-by":"publisher","first-page":"455301","DOI":"10.1088\/1751-8113\/45\/45\/455301","volume":"45","author":"R Rahaman","year":"2012","unstructured":"Rahaman, R., Majumdar, P., Basu, B.: Quantum Cournot equilibrium for the Hotelling-Smithies model of product choice. J. Phys. A Math. Theor. 45(45), 455301 (2012)","journal-title":"J. Phys. A Math. Theor."},{"key":"2860_CR21","doi-asserted-by":"crossref","unstructured":"Witkin, A., Kass, M.: Reaction-diffusion textures. In: Proceedings of the 18th Annual Conference on Computer Graphics and Interactive Techniques, pp. 299\u2013308 (1991)","DOI":"10.1145\/127719.122750"},{"key":"2860_CR22","volume-title":"A New Kind of Science","author":"S Wolfram","year":"2002","unstructured":"Wolfram, S.: A New Kind of Science. Wolfram media, Champaign (2002)"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02860-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-020-02860-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02860-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T01:03:24Z","timestamp":1632272604000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-020-02860-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,22]]},"references-count":22,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["2860"],"URL":"https:\/\/doi.org\/10.1007\/s11128-020-02860-w","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,22]]},"assertion":[{"value":"19 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"355"}}