Evolutionary dynamics of tax-based strong altruistic reward and punishment in a public goods game

In public goods games, punishments and rewards have been shown to be effective mechanisms for maintaining individual cooperation. However, punishments and rewards are costly to incentivize cooperation. Therefore, the generation of costly penalties and rewards has been a complex problem in promoting the development of cooperation. In real society, specialized institutions exist to punish evil people or reward good people by collecting taxes. We propose a strong altruistic punishment or reward strategy in the public goods game through this phenomenon. Through theoretical analysis and numerical calculation, we can get that tax-based strong altruistic punishment (reward) has more evolutionary advantages than traditional strong altruistic punishment (reward) in maintaining cooperation and tax-based strong altruistic reward leads to a higher level of cooperation than tax-based strong altruistic punishment.