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THE AVERAGE ABUNDANCE FUNCTION WITH MUTATION OF THE MULTI-PLAYER SNOWDRIFT EVOLUTIONARY GAME MODEL

Acta Mathematica Scientia 2021年第1期41卷 127-163页

作者： Ke XIA xianjia waivg School of Economics Zhengzhou University of AeronauticsZhengzhou 450000China School of Economics and Management Wuhan UniversityWuhan 430072China

This article explores the characteristics of the average abundance function with mutation on the basis of the multi-player snowdrift evolutionary game model by analytical analysis and numerical *** specific field of this research concerns the approximate expressions of the average abundance function with mutation on the basis of different levels of selection intensity and an analysis of the results of numerical simulation on the basis of the intuitive expression of the average abundance *** addition,the biological background of this research lies in research on the effects of mutation,which is regarded as a biological concept and a disturbance to game behavior on the average abundance *** mutation will make the evolutionary result get closer to the neutral drift *** can be deduced that this affection is not only related to mutation,but also related to selection intensity and the gap between payoff and aspiration *** main research findings contain four ***,we have deduced the concrete expression of the expected payoff *** asymptotic property and change trend of the expected payoff function has been basically *** addition,the intuitive expression of the average abundance function with mutation has been obtained by taking the detailed balance condition as the point of *** can be deduced that the effect of mutation is to make the average abundance function get close to 1/*** addition,this affection is related to selection intensity and the ***,the first-order Taylor expansion of the average abundance function has been deduced for when selection intensity is sufficiently *** expression of the average abundance function with mutation can be simplified from a composite function to a linear function because of this Taylor *** finding will play a significant role when analyzing the results of the numerical ***,we have obtained the approximate expressions of

关键词： evolutionary game average abundance function mutation stochastic process

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