A Dynamic Evolution Model of Multiplayers Stag-Hunt Game in a Cycle Network

Abstract

Social contracts and norms can be defined as the selection of Nash-equilibrium in coordination game. However, existing studies on group coordination game are lack of a theoretical process which simulates the evolution of behaviors of agents, especially in a cycle network. In this paper, by means of establishing Cellular Automata Model (CAM) based on the Stag Hunt Game as the bottom model in cycle network, we simulate the dynamically evolutionary Group Stag-Hunt Game in which assumed that an individual has complete rationality. The conclusion suggested that the final results were related to the size of the payoff factor and the risk factor and the structure features of the network. This model provides dynamically evolutionary Group Stag Hunt Game researches in a cycle network with a theoretical support.