Study of imitation and simulation based on collaborative strategies under the network environment
|Keywords||imitation CG-3x3interaction game rules of behavior NetLogosimulation endogenous network|
In a given network environment, a player is represented by a node and an edge in social networks represents the interaction relationship. A connection provides a path of binary interaction. Players can obtain payoff from the game through binary interaction. Theoretical and experimental studies of imitation problems in the field of game theory in recent years are described, the latest research results for contagion and efficiency are given, and some typical imitation examples in network environment and relevant conclusions are cited in the paper.Given a symmetric CG-3x3(Coordination Game-3x3) game with variables in which Prisoner’s Dilemma and coordination game combine together, imitation by modeling not only whom a player interacts with, but also which player he receives information from to make the distinction between local interaction and information explicitly is concentrated on. Each player is assumed to observe strategies of (one or some) other players who serve as information neighbors, and get to learn from their strategies. A population of players, who are located around a circle, star, complete network and interact only with their immediate neighbors are considered, and the relation between imitation outcomes and payoff variables is studied.NetLogo software is used to build an interaction and imitation model based on coordination game. Player’s strategy choices and the resulting imitation and interaction outcomes are studied by simulation when rules of behavior of players are imitate the best rule and myopic best rule, and relevant simulation examples are given.Based on a2×2coordination game, the common development of the network and action options is explored, and a class endogenous network generation situation under the corresponding coordination game is described.