Cooperation in two-dimensional mixed- games.

• Autor(a) principal: Amaral, Marco Antonio
• Data de Publicação: 2015
• Outros Autores: Wardil, Lucas Lages, Silva, Jafferson Kamphorst Leal da
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFOP
• Texto Completo: http://www.repositorio.ufop.br/jspui/handle/123456789/16070; https://iopscience.iop.org/article/10.1088/1751-8113/48/44/445002/meta; https://doi.org/10.1088/1751-8113/48/44/445002
• topic: Game theory; Prisoners dilemma

Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two individuals is uniformly drawn from a sample of two different games. Using the master equation approach we show that the random mixture of two games is equivalent to play the average game when (i) the strategies are statistically independent of the game distribution and (ii) the transition rates are linear functions of the payoffs. We also use Monte-Carlo simulations in a two-dimensional lattice and mean-field techniques to investigate the scenario when the two above conditions do not hold. We find that even outside of such conditions, several quantities characterizing the mixed-games are still the same as the ones obtained in the average game when the two games are not very different.