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Evolutionary Games and Dynamics in Public Goods Supply with Repetitive Actions

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  • Simo Sun

    (School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
    School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China)

  • Hui Yang

    (School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China)

  • Guanghui Yang

    (School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China)

  • Jinxiu Pi

    (School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China)

Abstract

Based on a tripartite game model among suppliers of public goods, consumers, and the government, a tripartite repeated game model is constructed to analyze the evolution mechanism of which suppliers supply at low prices, consumers purchase, and the government provides incentives, and to establish the dynamics system of a repeated game. The equilibrium points of the evolutionary game are solved, and among them, the equilibrium points are found to satisfy the parameter conditions of ESS. The numerical simulation is employed to verify the impact of penalty coefficients and discount factors on the stability of strategies, which are adopted by the three players in a tripartite repeated game on public goods, and scenario analyses are conducted. The research results of this paper could provide a reference for the government, suppliers, and consumers to make rapid decisions, who are in the supply chain of public goods, especially quasi-public goods, such as coal, water, electricity, and gas, and help them to obtain stable incomes and then ensure the stable operation of the market.

Suggested Citation

  • Simo Sun & Hui Yang & Guanghui Yang & Jinxiu Pi, 2021. "Evolutionary Games and Dynamics in Public Goods Supply with Repetitive Actions," Mathematics, MDPI, vol. 9(15), pages 1-16, July.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1726-:d:599116
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    References listed on IDEAS

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    Cited by:

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    4. Zhiyong Zhang & Xiaodie Song & Yongqiang Shi, 2023. "Evolutionary Game Analysis of Behavior Strategies of Multiple Stakeholders in an Elderly Care Service System," IJERPH, MDPI, vol. 20(5), pages 1-22, February.

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