Research On Parrondo Paradox Effect Based On Game Dynamics And Network Co-evolution

Based on the Parrondo game,an interesting paradox of “loss + lose = win” can be generated.Currently,the Parrondo paradox has been confirmed by computer simulations,Brown ratcheting examples,and theoretical analysis based on discrete Markov chains.The Parrondo paradox effect has provoked research on negative migration phenomena,reliability theory,noise-induced synchronization phenomena,and control chaos.The research object of this paper is the Parrondo paradox effect based on game dynamics and network co-evolution.The main research contents and contributions of this paper are as follows:This paper uses a dynamic process of network structure evolution(link A)+ game B(depend capital)to generate Parrondo paradox effect.The main purpose is to study whether network structure evolution can promote group adaptability,and analyze the influence of network structure evolution,game mode and the probability ? of playing link A on Parrondo's paradox effect.Through simulation analysis,it can be found that under certain parameters,network evolution can bring benefits and help improve group income.A new game B structure that depends on the number of neighbors wins and losses for complex networks is proposed.Based on the group Parrondo game model of link A + game B,the theoretical analysis method based on discrete Markov chain is used to analysis link A.game B and random combination link A + game B analysis,the corresponding stationary distribution probability and mathematical expectation can be obtained.With the degree correlation adjustable network as the space carrier,the computational simulation study of the group Parrondo game of game A + game B is carried out,and the network degree is analyzed when the game A adopts six different behaviors such as competition,cooperation and randomization.The effect of degree correlation on the Pararondo paradox effect shows that: 1)Any behavior and network structure can produce Parrondo's paradox;2)Behavioral mode has an influence on the parameter space generated by public opinion;3)The smaller the degree correlation coefficient,the larger the parameter space that produces the paradox.Through the asymmetric structure of game B,the behavior of game A and the interaction mechanism of network topology,the microscopic reasons for the occurrence or non-occurrence of public opinion are elaborated.The novelty of this paper is to analyze the rationality of network evolution,lifestyle and co-opetition behavior by using the model of co-evolution of Parrondo game dynamics and network structure.