A mechanism of dynamical interactions for two-person social dilemmas.
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.
Mogielski
Krzysztof
K
Department of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha, Poland.
Płatkowski
Tadeusz
T
D005075:Biological Evolution; D003299:Cooperative Behavior; D005716:Game Theory; D006126:Group Processes; D006801:Humans; D008957:Models, Genetic; D008960:Models, Psychological; D012919:Social Behavior