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Sandholm, William H. Izquierdo, Segismundo S. Izquierdo Millán, Luis Rodrigo 2020-03-09T09:07:06Z 2020-03-09T09:07:06Z 2019-11 1933-6837 http://hdl.handle.net/10259/5236 10.3982/TE3565 We study population game dynamics under which each revising agent tests each of his strategies a fixed number of times, with each play of each strategy being against a newly drawn opponent, and chooses the strategy whose total payoff was highest. In the centipede game, these best experienced payoff dynamics lead to cooperative play. When strategies are tested once, play at the almost globally stable state is concentrated on the last few nodes of the game, with the proportions of agents playing each strategy being largely independent of the length of the game. Testing strategies many times leads to cyclical play. U.S. National Science Foundation (Grants SES-1458992 and SES- 1728853), the U.S. Army Research Office (Grants W911NF-17-1-0134 MSN201957), Project ECO2017-83147- C2-2-P (MINECO/AEI/FEDER, UE), and the Spanish Ministerio de Educación, Cultura, y Deporte (Grants PRX15/00362 and PRX16/00048) application/pdf eng Econometric Society Theoretical Economics. 2019, V. 14, n. 4, p. 1347–1386 https://econtheory.org/ojs/index.php/te/issue/view/45 info:eu-repo/grantAgreement/MINECO/ECO2017-83147- C2-2-P info:eu-repo/grantAgreement/MECD/PRX15/00362 info:eu-repo/grantAgreement/MECD/PRX16/00048 Atribución-NoComercial 4.0 Internacional http://creativecommons.org/licenses/by-nc/4.0/ info:eu-repo/semantics/openAccess Evolutionary game theory backward induction centipede game computational algebra Economía Economics Best experienced payoff dynamics and cooperation in the centipede game info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Theoretical Economics 14 4 1347 1385