Study On The Evolution Of Cooperation Based On Donation Behavior

As an attempt by the public to create an equal society,donation behavior is conducive to promoting social morality,effectively promoting group cooperation behavior,and ultimately achieving win-win cooperation.This paper discusses the evolution of cooperation from the perspectives of donation behavior and individual’s attitude towards donation behavior.In chapter 3,discussing the impact of donation behavior on the evolution of cooperation.In the prisoner’s dilemma game,the payoff of each individual in each round consists of game payoff and donation payoff.If the game payoff of each individual is greater than the donation standard,it will donate a part of the excess standard to the neighbors whose income is lower than their own.The results show that the donation behavior can effectively promote the evolution of cooperation.With the increase of the donation ratio,cooperation appears,and when it reaches a certain value,cooperation is dominant.At this time,increasing the donation intensity will not contribute to the cooperation.Moreover,with every additional increment of the donation ratio,the donation standard also has an impact on the cooperation.The lower the donation standard is,the easier it is to promote the evolution of cooperation.For different parameters,there will be three states: all cooperators,coexistence of cooperators and defectors,and all defectors.In addition,donation behavior is conducive to narrow the payoff gap between individuals.In chapter 4,discussing the influence of individual’s attitude towards donation behavior on the evolution of cooperation.According to the individual’s attitude towards donation behavior,it is divided into encouraging donation and non-encouraging donation,and the cost of encouraging donation is regarded as a reward for cooperative behavior.If the fraction of cooperators reaches social satisfaction,the encouragement donors will change their attitudes,and the increase of the encouragement donors mainly depends on the recognition of the group’s attitude towards encouraging donations.Therefore,the corresponding differential equation system is established according to the difference of individual behavior and attitude.The results show that there are only two types of coexistence of cooperators and defectors,the mechanism of encouraging donation will lead to the occurrence of cooperative behavior,and there is the lowest encourage donation cost to maximize the level of cooperation.When the cost of encouraging donations is small,there is an optimal social satisfaction that makes the cooperation level the highest,and when the cost is larger,the higher the social satisfaction,the higher the level of cooperation.Recognition of encouraging donations can also be effective in promoting the evolution of cooperation.The higher the ratio of the cost of encouraging donation to donation cost,the more favorable the cooperation.