Study On The Influence Of Group Reasoning Ability On Cyclic Dominant Game

In recent years,with the development of group behavior games and network science research,the phenomenon of cooperative evolution in groups has received extensive attention,How to promote the emergence and stability of cooperation among general groups and networked groups is an important research direction.In this paper,a new strategy evolution mechanism is proposed based on public goods games and the setting of reasoning ability of groups.The impact of this mechanism on the level of population cooperation in evolutionary games is explored.The work of this paper is as follows:First of all,the public goods game model as a typical strategy cycle dominant game has become the standard model of research cooperation,the background and significance of its related research work and results are introduced;it also introduces the strategy concepts of random reaction strategies and generous strategies in recent years.The recent research results of structured groups and complex network models and evolutionary games on complex networks are also introduced.On this basis,the questions of this thesis are put forward.Then,the typical generous strategy in a prisoner's dilemma is extended to a public goods game.Under the premise of weakening the group's reasoning ability,a new evolutionary strategy updating mechanism is proposed,which is a generous strategy with typical characteristics.In the framework of the network evolution public goods games,the impact of the evolution update mechanism on population cooperation is studied.By comparing and analyzing the game evolution results of different updating mechanisms,it is concluded that the generous strategy is more conducive to promoting population cooperation.Moreover,under the different social distress intensity,groups prefer the typical generous strategy than the common mechanisms for cooperation and its stability.Furthermore,theoretical research is carried out on generous strategies of the public goods game.The in-depth analysis of the three-person public goods game is given by weakening the group's reasoning ability,and proposes the concept of general generous strategy.The discrete dynamic system is used as a method to study it deeply.The research shows that: In the public goods game,the general generous strategy has the potential to enhance group cooperation.Further simulation studies confirm the theoretical research results,and the general generous strategy can defeat other random response strategies and survive in a long-term evolution under some conditions.In sum,based on the bounded rationality of groups,the paper extends the typical generous strategy in prisoner's dilemmas to multiplayer dilemma games,rationally weakens the reasoning ability of the group,and proposes a general generous strategy concept.The theory and simulation results show that this is conducive to the improvement of the level of cooperation in the group.