Stochastic evolution and simulation analysis of repeated games in public goods with strong reciprocity

We developed the stochastic evolution dynamics of repeated games for public goods using repeated games, income distribution theory, and strong reciprocity mechanisms. Firstly, taking the degree of cooperation as a continuous variable, Gaussian white noise is introduced to reflect the stochastic interference in the game process, and a tripartite stochastic evolutionary game is constructed in the public goods supply chain, which includes manufacturers, third-party supervisor, and sellers. Secondly, based on the theory of Ito stochastic differential equations, conduct random evolution numerical simulations to quantitatively analyze the impact of strong reciprocity coefficients on the strategy choices of game participants; Finally, taking the implementation of the “Village Enterprise Green Vegetable Planting Industry Cooperation Project” for the revitalization of rural public goods as an example, in terms of the degree of strategic transformation, the speed of cooperation strategy connection, and the stable path of cooperation strategy selection, priority is given to village collectives and enterprises in variable supervision, providing operational management and policy optimization paths for the management department of the public product supply chain industry cooperation project, and ensuring the long-term stable development of the “Village Enterprise Green Vegetable Planting Industry Cooperation Project”.