基于模糊数的政府与绿色制造商博弈分析

杨德艳[1]  柳键2

（1、青岛理工大学  工程管理系  山东 临沂273400

2、江西财经大学 信息管理学院  江西 南昌330032）

摘要：近年来环境问题已经成为人们迫切需要解决的重要问题，促使制造商采取绿色制造模式也是各国政府正在面临的一大难题。因此文章结合三角模糊数与博弈理论建立了政府与绿色制造商的模糊博弈模型，将博弈结果分为纯策略和混合策略两类，并讨论了各种情形下政府与绿色制造商的不同策略以及影响因素，分析了最优博弈结果（不检查，采取）以及相应的管理策略，为绿色制造模式的顺利实施提供了相关建议。研究结果表明，政府的补贴和惩罚等策略在绿色制造模式的采取方面起着举足轻重的作用。最后利用三角结构元法对算例分纯策略和混合策略两种情况进行分析求解，从而验证了结论的正确性和可行性。

关键词：博弈分析；绿色制造模式；模糊博弈；三角结构元法；绿色制造商

Game Analysis of Government and Green Manufacturer Based on Fuzzy Number

Yang de-yan, Liu jian

(1, Department of Engineering and Management, Qingdao Technological University, Linyi, 273400, China;

2, School of Information and Management, Jiangxi University of Finance and Economics, Nanchang, 330032, China)

Abstract:In recent years, the environmental issue has become an important problem that people need to solve urgently. Meanwhile, how to prompt manufacturer to adopt green manufacturing mode has become a big problem that governments are facing. Firstly, a fuzzy game model based on the triangular fuzzy number and the game theory between government and green manufacturer is proposed in this article. And game solution is divided into two categories: pure strategy Nash equilibrium solution and mixed strategy Nash equilibrium solution. Secondly, all circumstances with different strategies of government and green manufacturer as well as the influencing factors of pure and mixed strategy Nash equilibrium solution are discussed. Then, the optimal game solution (don’t examine, adopt) and corresponding management strategies are presented, which give some advice for the implementation of green manufacturing mode. The research results show that the government's subsidies and punish strategies play an important role in taking green manufacturing mode for green manufactures. In the end, by using the method of triangular structure element, two actual examples are analyzed in the paper, which verify the correctness and feasibility of the fuzzy game model and the conclusion.

Key words:Game analysis; Green manufacturing mode；Fuzzy Games；Triangular Structured Element；Green Manufacture

1 引言