Application of Two Delay Differential Equations in the Evolutionary Game of Public Goods Supply

Author:

Sun Simo12ORCID,Man Wang3,Yang Hui1

Affiliation:

1. School of Mathematics & Statistics, Guizhou University, Guiyang 550025, Guizhou, China

2. School of Mathematics & Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China

3. School of Management Science, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China

Abstract

Starting from the leading role of public goods suppliers’ supply strategies, the government’s incentives and support to suppliers, and consumers’ influence on public opinion and other factors, the matrix game models between public goods suppliers and between the suppliers and the government are established, respectively. Considering the delay of government and supplier strategies, establish two delay differential equations between the two suppliers and between the supplier and the government, obtain the evolutionary game model of public goods supply, and solve the equilibrium point of the evolutionary game model with or without delay and its stability. Then, through model parameter analysis, verify the rationality of public goods supplier’s supply and government incentive strategy. Finally, through numerical simulation, it is verified that the delay does not affect the stability of the equilibrium point of the game party but changes the rate at which the game party’s strategy reaches a steady state, conducive to rapid, scientific, and reasonable decision-making between the suppliers of public goods and between the government and suppliers.

Funder

Science and Technology Program of Guizhou Province

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference26 articles.

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2. Application of time-delay dynamic system in several problems of government subsidy policy;F. Li;North China Institute of Water Conservancy and Hydropower, Zhengzhou, China,2010

3. Evolutionary game analysis of agricultural product quality and safety input under punishment mechanism;Y. Song;Chinese Journal of Management Science,2019

4. Persistence and global stability for three-species ratio-dependent predator-prey system with time delays;Rui Xu;Journal of Systems Science And Mathematical Sciences,2001

5. Persistence of three species predator-predator equation based on ratio;D. Tan;Journal of Biomathematics,2003

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