2026-10-23T09:37:06Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/108642025-09-13T00:05:28Zcom_10259_3830com_10259_5086com_10259_2604col_10259_3832

Izquierdo, Segismundo S. Izquierdo Millán, Luis Rodrigo 2025-09-12T07:57:07Z 2025-09-12T07:57:07Z 2025-10 2027-08-20 0899-8256 https://hdl.handle.net/10259/10864 10.1016/j.geb.2025.07.012 We consider sampling best response decision protocols with statistical inference in population games. Under these protocols, a revising agent observes the actions of k randomly sampled players in a population, estimates from the sample a probability distribution for the state of the population (using some inference method), and chooses a best response to the estimated distribution. We formulate deterministic approximation dynamics for these protocols. If the inference method is unbiased, strict Nash equilibria are rest points, but they may not be stable. We present tests for stability of pure equilibria under these dynamics. Focusing on maximum-likelihood estimation, we can define an index that measures the strength of each strict Nash equilibrium. In tacit coordination or weakest-link games, the stability of equilibria under sampling best response dynamics is consistent with experimental evidence, capturing the effect of strategic uncertainty and its sensitivity to the number of players and to the cost/benefit ratio. Financial support from the Spanish State Research Agency (PID2024-159461NB-I00/MICIU and PID2020-118906GBI00/MCIN, AEI/10.13039/501100011033/EU-FEDER), from the Regional Government of Castilla y León and the EU-FEDER program (CLU-2019-04 - BIOECOUVA Unit of Excellence Universidad de Valladolid), and from the Spanish Ministry of Universities (PRX22/00064 and PRX22/00065) application/pdf eng Elsevier Games and Economic Behavior. 2025, V. 153, p. 622-644 https://doi.org/10.1016/j.geb.2025.07.012 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/embargoedAccess Statistical inference Sampling best response Stability Strict Nash Weakest-link games Gestión de empresas Matemáticas Industrial management Mathematics Statistical inference in games: Stability of pure equilibria info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Games and Economic Behavior 153 622 644