Evolutionary Games I: Statistical Physics

This chapter aims to illustrate some Statistical Physics approaches to EGT. In particular, the first part presents a model for studying the emergence of cooperation, in the Prisoner’s Dilemma, mapping agents to particles of a gas, then using the kinetic theory of gases. The second part analyzes the dynamics of the Public Goods Game by varying the parameter named ‘Temperature’ (known also as ‘Noise’) appearing in the equation adopted for performing the Strategy Revision Phase. Notably, results show how to link this game with the Voter Model.

[1]  Federico Battiston,et al.  The role of noise in the spatial public goods game , 2016, 1605.08690.

[2]  Attila Szolnoki,et al.  Reward and cooperation in the spatial public goods game , 2010, ArXiv.

[3]  S Redner,et al.  Majority versus minority dynamics: phase transition in an interacting two-state spin system. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  György Szabó,et al.  Phase transitions and volunteering in spatial public goods games. , 2002, Physical review letters.

[5]  Attila Szolnoki,et al.  Selection of noise level in strategy adoption for spatial social dilemmas. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Marco Tomassini,et al.  Random diffusion and cooperation in continuous two-dimensional space. , 2014, Journal of theoretical biology.

[7]  Attila Szolnoki,et al.  Topology-independent impact of noise on cooperation in spatial public goods games. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Marco Alberto Javarone,et al.  Statistical physics of the spatial Prisoner’s Dilemma with memory-aware agents , 2015, 1509.04558.