Public Goods Game Based on the Combination Model of Reputation and Punishment

There are many ways to improve players’ dominant strategies in the public goods game, most of which introduce reward and punishment mechanism or use reputation to improve the result of the game. Motivated by these researches, this paper introduces a model combining punishment and reputation. In the process of repeating the public goods game, the model will give a higher reputation value to the partner and a lower reputation value to the defector and this value is going to add up. At the end of each game, the defectors will be punished by someone with a low overall ranking reputation. Through some simulations and calculations, it can be verified that the model is effective, which is useful in promoting cooperation and reducing defections. Additionally, the model can be applied in real life, which is related to social norms. It is found that real results show the same trend as the model results.