Repeated Prisoner's Dilemma and Battle of Sexes Games: A Simulation Study

Abstract

Agent-based simulation is used to examine the N-person prisoner's dilemma and battle of sexes games. The N-person binary state prisoner's dilemma model is extended first to the continuous state, and dynamic extensions are formulated with comformist, Pavlovian greedy, accountant and influencing agents, where the influence of the media is also taken into consideration. For the N-person battle of sexes games, deterministic and stochastic dynamic models are developed. In all cases the dynamic equations are complicated large-scale nonlinear difference equations, the asymptotical behavior of which can be examined only by using computer simulation. Numerical result's are also presented showing the dependence of the state trajectories and limits on model parameters and the initial states.