Research on the Application of Time Delay System in Symmetric Game

摘要

Based on the framework of bounded rationality, this paper takes the 2 × 2 symmetric game prob-lem as the research object, establishes a symmetric game model with time delay. The dynamic change process of game participants’ strategy selection is analyzed by the study of replication dynamics in evolutionary dynamics theory. The stable state of the game under two kinds of systems with and without time delay is numerically simulated. The experimental results show that in a symmetric game, the decision-maker’s decision delay will have a certain impact on the decision. This impact does not change the steady state of the strategy, but only changes the speed of reaching the steady state. And the longer the time lag, the faster the evolution to the steady state.