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Best experienced payoff dynamics and cooperation in the centipede game Sandholm, William H. Izquierdo Millán, Segismundo Samuel Izquierdo Millán, Luis Rodrigo Producción Científica 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. FEDER/Ministerio de Ciencia, Innovación y Universidades – Agencia Estatal de Investigación/ _Proyecto ECO2017-83147- C2-2-P. U.S. National Science Foundation (Grants SES-1458992 and SES1728853) U.S. Army Research Office (Grants W911NF-17-1-0134 MSN201957) Ministerio de Educación, Cultura, y Deporte (Grants PRX15/00362 and PRX16/00048) 2021-02-11T07:57:58Z 2021-02-11T07:57:58Z 2019 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Theoretical Economics 14 (2019), 1347–1385 1933-6837 http://uvadoc.uva.es/handle/10324/45245 10.3982/TE3565 1347 4 1385 Theoretical Economics 14 eng https://econtheory.org/ojs/index.php/te/article/viewFile/20191347/25677/736 info:eu-repo/semantics/openAccess application/pdf The Econometric Society https://uvadoc.uva.es/bitstream/10324/45245/3/Izquierdo%202019%20Theoretical%20Economics.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid http://uvadoc.uva.es/handle/10324/45245