{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T18:37:57Z","timestamp":1779388677298,"version":"3.53.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,1,26]],"date-time":"2011-01-26T00:00:00Z","timestamp":1296000000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Game Theory"],"published-print":{"date-parts":[[2012,2]]},"DOI":"10.1007\/s00182-011-0271-0","type":"journal-article","created":{"date-parts":[[2011,1,25]],"date-time":"2011-01-25T01:57:11Z","timestamp":1295920631000},"page":"1-21","source":"Crossref","is-referenced-by-count":10,"title":["The evolution of fairness under an assortative matching rule in the ultimatum game"],"prefix":"10.1007","volume":"41","author":[{"given":"Yasuhiro","family":"Shirata","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2011,1,26]]},"reference":[{"key":"271_CR1","volume-title":"Ordinary differential equations","author":"VI Arnold","year":"2006","unstructured":"Arnold VI (2006) Ordinary differential equations. Springer, NY"},{"key":"271_CR2","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1111\/j.1468-0262.2006.00678.x","volume":"74","author":"AE Atakan","year":"2006","unstructured":"Atakan AE (2006) Assortative matching with explicit search costs. Econometrica 74: 667\u2013680","journal-title":"Econometrica"},{"key":"271_CR3","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1086\/260084","volume":"81","author":"GS Becker","year":"1973","unstructured":"Becker GS (1973) A theory of marriage: part i. J Political Econ 81: 813\u2013846","journal-title":"J Political Econ"},{"key":"271_CR4","doi-asserted-by":"crossref","first-page":"S11","DOI":"10.1086\/260287","volume":"82","author":"GS Becker","year":"1974","unstructured":"Becker GS (1974) A theory of marriage: part ii. J Political Econ 82: S11\u2013S26","journal-title":"J Political Econ"},{"issue":"3","key":"271_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0219198903001021","volume":"5","author":"TC Bergstrom","year":"2003","unstructured":"Bergstrom TC (2003) The algebra of assortative encounters and the evolution of cooperation. Int Game Theory Rev 5(3): 1\u201318","journal-title":"Int Game Theory Rev"},{"key":"271_CR6","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1111\/1467-937X.00091","volume":"66","author":"K Binmore","year":"1999","unstructured":"Binmore K, Samuelson L (1999) Evolutionary drift and equilibrium selection. Rev Econ Stud 66: 363\u2013393","journal-title":"Rev Econ Stud"},{"key":"271_CR7","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1006\/jeth.2001.2910","volume":"104","author":"K Binmore","year":"2002","unstructured":"Binmore K, McCarthy J, Ponti G, Samuelson L, Shaked A (2002) A backward induction experiment. J Econ Theory 104: 48\u201388","journal-title":"J Econ Theory"},{"key":"271_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jeth.1997.2319","volume":"77","author":"T B\u00f6gers","year":"1997","unstructured":"B\u00f6gers T, Sarin R (1997) Learning through reinforcement and replicator dynamics. J Econ Theory 77: 1\u201314","journal-title":"J Econ Theory"},{"key":"271_CR9","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1257\/aer.90.1.166","volume":"90","author":"GE Bolton","year":"2000","unstructured":"Bolton GE, Ockenfels A (2000) ERC: a theory of equity, reciprocity, and competition. Am Econ Rev 90: 166\u2013193","journal-title":"Am Econ Rev"},{"issue":"1","key":"271_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0165-4896(97)00009-7","volume":"34","author":"R Cressman","year":"1997","unstructured":"Cressman R (1997) Local stability of smooth selection dynamics for normal form games. Math Soc Sci 34(1): 1\u201319","journal-title":"Math Soc Sci"},{"key":"271_CR11","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/j.tpb.2005.08.006","volume":"69","author":"R Cressman","year":"2006","unstructured":"Cressman R (2006) Uninvadability in n-species frequency models for resident-mutant systems with discrete or continuous time. Theor Popul Biol 69: 253\u2013262","journal-title":"Theor Popul Biol"},{"key":"271_CR12","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1162\/003355399556151","volume":"114","author":"E Fehr","year":"1999","unstructured":"Fehr E, Schmidt KM (1999) A theory of fairness, competition, and cooperation. Q J Econ 114: 817\u2013868","journal-title":"Q J Econ"},{"key":"271_CR13","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/S0899-8256(05)80017-X","volume":"8","author":"J Gale","year":"1995","unstructured":"Gale J, Binmore K, Samuelson L (1995) Learning to be imperfect: the ultimatum game. Games Econ Behav 8: 56\u201390","journal-title":"Games Econ Behav"},{"key":"271_CR14","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/0167-2681(82)90011-7","volume":"3","author":"W G\u00fcth","year":"1982","unstructured":"G\u00fcth W, Schmittberger R, Schwarze B (1982) An experimental analysis of ultimatum bargaining. J Econ Behav Org 3: 367\u2013388","journal-title":"J Econ Behav Org"},{"issue":"5","key":"271_CR15","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1007\/BF02409750","volume":"34","author":"P Marrow","year":"1996","unstructured":"Marrow P, Dieckmann U, Law R (1996) Evolutionary dynamics of predator-prey systems: an ecological perspective. J Math Biol 34(5): 556\u2013578","journal-title":"J Math Biol"},{"issue":"6","key":"271_CR16","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1016\/j.labeco.2010.05.001","volume":"17","author":"R Mendes","year":"2010","unstructured":"Mendes R, Van den Berg GJ, Lindeboom M (2010) An empirical assessment of assortative matching in the labor market. Labor Econ 17(6): 919\u2013929","journal-title":"Labor Econ"},{"key":"271_CR17","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1038\/31225","volume":"393","author":"MA Nowak","year":"1998","unstructured":"Nowak MA, Sigmund K (1998) Evolution of indirect reciprocity by image scoring. Nature 393: 573\u2013577","journal-title":"Nature"},{"key":"271_CR18","doi-asserted-by":"crossref","first-page":"1773","DOI":"10.1126\/science.289.5485.1773","volume":"289","author":"MA Nowak","year":"2000","unstructured":"Nowak MA, Page KM, Sigmund K (2000) Fairness versus reason in the ultimatum game. Science 289: 1773\u20131775","journal-title":"Science"},{"key":"271_CR19","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.jtbi.2004.06.005","volume":"231","author":"H Ohtsuki","year":"2004","unstructured":"Ohtsuki H, Iwasa Y (2004) How should we define goodness?\u2014reputation dyanamics indirect reciprocity. J Theor Biol 231: 107\u2013120","journal-title":"J Theor Biol"},{"key":"271_CR20","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/0022-0531(92)90041-F","volume":"57","author":"L Samuelson","year":"1992","unstructured":"Samuelson L, Zhang J (1992) Evolutionary stability in asymmetric games. J Econ Theory 57: 363\u2013391","journal-title":"J Econ Theory"},{"key":"271_CR21","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1006\/jeth.1997.2347","volume":"78","author":"KH Schlag","year":"1998","unstructured":"Schlag KH (1998) Why imitate, and if so, how?. J Econ Theory 78: 130\u2013156","journal-title":"J Econ Theory"},{"issue":"1","key":"271_CR22","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/BF01766400","volume":"4","author":"R Selten","year":"1975","unstructured":"Selten R (1975) Reexamination of the perfectness concept for equilibrium points in extensive games. Int J Game Theory 4(1): 25\u201355","journal-title":"Int J Game Theory"},{"key":"271_CR23","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1111\/1468-0262.00112","volume":"68","author":"R Shimer","year":"2000","unstructured":"Shimer R, Smith L (2000) Assortative matching and search. Econometrica 68: 343\u2013369","journal-title":"Econometrica"},{"key":"271_CR24","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.tpb.2005.06.009","volume":"69","author":"C Taylor","year":"2006","unstructured":"Taylor C, Nowak MA (2006) Evolutionary game dynamics with non-uniform interaction rates. Theor Popul Biol 69: 243\u2013252","journal-title":"Theor Popul Biol"},{"key":"271_CR25","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511753954","volume-title":"Economics and the theory of games","author":"F Vega-Redondo","year":"2003","unstructured":"Vega-Redondo F (2003) Economics and the theory of games. Cambridge University Press, Cambridge"},{"issue":"2","key":"271_CR26","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.jtbi.2008.06.001","volume":"254","author":"J Zu","year":"2008","unstructured":"Zu J, Wang W, Takeuchi Y, Zu B, Wang K (2008) On evolution under symmetric and asymmetric competitions. J Theor Biol 254(2): 239\u2013251","journal-title":"J Theor Biol"}],"container-title":["International Journal of Game Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-011-0271-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00182-011-0271-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-011-0271-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T14:40:48Z","timestamp":1558622448000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00182-011-0271-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,26]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,2]]}},"alternative-id":["271"],"URL":"https:\/\/doi.org\/10.1007\/s00182-011-0271-0","relation":{},"ISSN":["0020-7276","1432-1270"],"issn-type":[{"value":"0020-7276","type":"print"},{"value":"1432-1270","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,26]]}}}