Research On Competition Game Of Enterprise Based On Ecological Evolution

The use of ecological evolutionary model to study enterprise competition is a frontier issue in the application of game theory.It uses mathematical theory to establish an enterprise competition game model that is similar to biological evolu-tion,and interprets any kind of population competition in the corporate market as the "substance" in biological evolution."Natural selection and the survival of the fittest" have important practical significance.The problem of ecological evolution is mainly manifested in the existence of survival competition among organisms.This competition is used to simulate the population dynamic model.The model contains many parameters such as growth rate,resource uptake rate,predation rate and carrying capacity.Similar to the competition of population,this article uses the inter-cluster parameters to reflect the survival competition of enterprises through market share,enterprise expansion rate,market enterprise capacity,and other survival strategies,and reflects the game problems of enterprises in a similar ecological environment.The main task of this paper is to study the enterprise's competition game based on ecological evolution.According to the nature of the problem,it is divided into the following two aspects:In the second and third chapters,we discuss the evolutionary game and multi-dimensional game problems in the survival competition among enterprise clusters.Through the introduction of market share,product output,and after-sales service quality,a single-variable evolutionary game and multidimensional game mathemat-ics model for competition among populations is constructed,and its dynamics prob-lems such as the existence,uniqueness,Stability,asymptote and boundedness of solutions are studied.Numerical case analysis shows that when multiple companies choose to compete for survival,they should choose the optimal strategy vector in consideration of market share,product output,and after-sales service quality in order to maximize the total utility of the company.In the fourth chapter,we study the problem of survival competition within the enterprise population.In the enterprise clusters that sell similar products,due to the differences in the size of the companies,there are also similar phenomena of survival competition in biological evolution.By considering factors such as market share and population density of enterprises of different scales,and by introducing functional equations,we constructed an adaptive function model similar to that of population evolutionary games,and illustrated the correctness of the model through numerical examples.