Physics – Physics and Society
Scientific paper
2009-11-10
Phys. Rev. E 80 (2009) 056112
Physics
Physics and Society
10 two-column pages, 10 figures; accepted for publication in Physical Review E
Scientific paper
10.1103/PhysRevE.80.056112
We studied spatial Prisoner's Dilemma and Stag Hunt games where both the strategy distribution and the players' individual noise level could evolve to reach higher individual payoff. Players are located on the sites of different two-dimensional lattices and gain their payoff from games with their neighbors by choosing unconditional cooperation or defection. The way of strategy adoption can be characterized by a single $K$ (temperature-like) parameter describing how strongly adoptions depend on the payoff-difference. If we start the system from a random strategy distribution with many different player specific $K$ parameters, the simultaneous evolution of strategies and $K$ parameters drives the system to a final stationary state where only one $K$ value remains. In the coexistence phase of cooperator and defector strategies the surviving $K$ parameter is in good agreement with the noise level that ensures the highest cooperation level if uniform $K$ is supposed for all players. In this paper we give a thorough overview about the properties of this evolutionary process.
Szabo Gyorgy
Szolnoki Attila
Vukov Jeromos
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