"Test two, choose the better" leads to high cooperation in the Centipede game

Explaining cooperative experimental evidence in the Centipede game constitutes a challenge for rational game theory. Traditional analyses of Centipede based on backward induction predict uncooperative behavior. Furthermore, analyses based on learning or adaptation under the assumption that those str...

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Bibliographic Details
Authors: Izquierdo, Segismundo S., Izquierdo Millán, Luis Rodrigo
Format: article
Status:Versión aceptada para publicación
Publication Date:2022
Country:España
Institution:Universidad de Burgos (UBU)
Repository:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/7112
Online Access:http://hdl.handle.net/10259/7112
Access Level:Open access
Keyword:Evolutionary game dynamics
Centipede game
Backwards induction
Cooperation
Simulation
Best experienced payoff dynamics
Finite population
Matemáticas
Mathematics
Description
Summary:Explaining cooperative experimental evidence in the Centipede game constitutes a challenge for rational game theory. Traditional analyses of Centipede based on backward induction predict uncooperative behavior. Furthermore, analyses based on learning or adaptation under the assumption that those strategies that are more successful in a population tend to spread at a higher rate usually make the same prediction. In this paper we consider an adaptation model in which agents in a finite population do adopt those strategies that turn out to be most successful, according to their own experience. However, this behavior leads to an equilibrium with high levels of cooperation and whose qualitative features are consistent with experimental evidence.