Modeling, analysis and optimization of a type of evolutionary public goods games

This paper investigates the evolutionary dynamic and strategy optimization for a type of public goods games. First, by using semi-tensor product of matrices method, the evolutionary dynamics of the public goods games is converted into a standard Markovian chain, based on which, many properties of the game's evolutionary behaviour can be revealed. Secondly, the strategy optimization problem is considered by adding a pseudoplayer to the game, and the situation that the pseudo-player always takes the strategy cooperation is investigated. Finally, some interesting simulation results about the final evolutionary dynamics of the game are given.