A mechanism of dynamical interactions for two-person social dilemmas

Krzysztof Mogielski (1) , Tadeusz P!atkowski (1)

1 Department of Mathematics

We propose a new mechanism of interactions between game - theoretical agents in which the weights of the connections between interacting individuals are dynamical, payoff - dependent variables. Their evolution depends on the difference between the payoff of the agents from a given type of encounter and their average payoff. The mechanism is studied in the frame of two models: agents distributed on a random graph, and a mean field model. Symmetric and asymmetric connections between the agents are introduced. Long time behavior of both systems is discussed for the Prisoner's Dilemma and the Snow Drift games.

Mots clés: 89.75.-k; 89.20.-a; Social dilemmas; Coevolution on networks; Mean field model

Krzysztof Mogielski, Tadeusz P!atkowski. A mechanism of dynamical interactions for two-person social dilemmas. Journal of Theoretical Biology, 2009, 260 (1), pp.145. ⟨10.1016/j.jtbi.2009.06.007⟩. ⟨hal-00554626⟩