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Izquierdo, Segismundo S. Izquierdo Millán, Luis Rodrigo 2022-09-22T07:30:11Z 2022-09-22T07:30:11Z 2022-09 0022-0531 http://hdl.handle.net/10259/7008 10.1016/j.jet.2022.105553 We consider a family of population game dynamics known as Best Experienced Payoff Dynamics. Under these dynamics, when agents are given the opportunity to revise their strategy, they test some of their possible strategies a fixed number of times. Crucially, each strategy is tested against a new randomly drawn set of opponents. The revising agent then chooses the strategy whose total payoff was highest in the test, breaking ties according to a given tie-breaking rule. Strict Nash equilibria are rest points of these dynamics, but need not be stable. We provide some simple formulas and algorithms to determine the stability or instability of strict Nash equilibria. Spanish State Research Agency (PID2020-118906GB-I00/AEI/10.13039/501100011033), from the Spanish Ministry of Science, Innovation and Universities (PRX19/00113, PRX21/00295), and from the Fulbright Program (PRX19/00113, PRX21/00295), is gratefully acknowledged. Luis R. Izquierdo is grateful to the Center for Control, Dynamical Systems, and Computation at UC Santa Barbara, where part of this work was done, for their hospitality. application/pdf eng Elsevier Journal of Economic Theory. 2022, In Press, 105553 https://doi.org/10.1016/j.jet.2022.105553 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118906GB-I00/ES/INTERACCIONES DINAMICAS DISTRIBUIDAS: PROTOCOLOS BEST EXPERIENCED PAYOFF Y SEPARACION ENDOGENA info:eu-repo/grantAgreement/MECD/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PRX19%2F00113 info:eu-repo/grantAgreement/MIU//PRX21%2F00295 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Best experienced payoff Procedural rationality Payoff-sampling dynamics Stability Matemáticas Economía Mathematics Economics Stability of Strict Equilibria in Best Experienced Payoff Dynamics: Simple Formulas and Applications info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Journal of Economic Theory 105553