RT info:eu-repo/semantics/article T1 Strategy sets closed under payoff sampling A1 Izquierdo, Segismundo S. A1 Izquierdo Millán, Luis Rodrigo K1 Payoff sampling K1 Best experienced payoff K1 Procedural rationality K1 Asymptotically stable sets K1 Closed under payoff sampling K1 Matemáticas K1 Mathematics K1 Economía K1 Economy AB We consider population games played by procedurally rational players who, when revising their current strategy, test each of their available strategies independently in a series of random matches –i.e., a battery of tests–, and then choose the strategy that performed best in this battery of tests. This revision protocol leads to the so-called payoff-sampling dynamics (aka test-all Best Experienced Payoff dynamics).In this paper we characterize the support of all the rest points of these dynamics in any game and analyze the asymptotic stability of the faces to which they belong. We do this by defining strategy sets closed under payoff sampling, and by proving that the identification of these sets can be made in terms of simple comparisons between some of the payoffs of the game. PB Elsevier SN 0899-8256 YR 2023 FD 2023-03 LK http://hdl.handle.net/10259/7636 UL http://hdl.handle.net/10259/7636 LA eng NO Financial support from the Spanish State Research Agency (PID2020-118906GB-I00/AEI/10.13039/501100011033), from the Regional Government of Castilla y León with the EU-FEDER program (CLU-2019-04), and from the Spanish Ministry of Science, Innovation and Universities with the Fulbright Program (PRX19/00113, PRX21/00295) is gratefully acknowledged. DS Repositorio Institucional de la Universidad de Burgos RD 26-abr-2024