Strong Nash Equilibrium in a Repeated Environmental Eengineering Game with Stochastic Dynamics

摘要

Infinite repeated game is investigated, where stage game is Cournot oligopoly with three enterprises. Every enterprise has one source, ejecting poison to atmosphere. Pollution level in the production region has not to exceed a maximum permissible concentration (MPC). Else, every enterprise has to pay a fine. An Ecological Game is described to solve the environmental engineering problem. In the model market price of produced goods is a function of Ito's stochastic process variable. For this stochastic game we consider a cooperative trajectory and investigate a stochastic imputation. In general, a stochastic imputation is time-inconsistent. We found a special time-consistent imputation distribution procedure which follows us to Strong Nash equilibrium (SNE).