模糊环境下的多厂商生产博弈问题

Multi-firm Dynamic Production Game with Fuzzy Market Demand

研究了两个厂商间的动态生产博弈,并把这种博弈推广到多个厂商之间,得到了多厂商动态博弈的一般表述。在提出的博弈模型中,根据现实情况,我们把市场需求刻画成模糊变量,然后定义了博弈模型的期望值Nash均衡解并证明了Nash均衡解的存在性。和文献中存在的博弈模型相比,文章给出的模糊动态博弈模型及期望值Nash均衡解更在处理模糊环境下的多厂商生产博弈有着独特的优势。最后,文中给出了数值算例展示了其处理模糊动态博弈问题的优越性。

This paper studies dynamical production game between two firms and generalizes the game among more than two firms. The market demand is characterized as a fuzzy variable in game model. The expected Nash equilibrium is defined and it is proved that the Nash equilibrium exists. The proposed game model has advantages over the existing ones in solving dynamical production game in a fuzzy environment. The result will contribute to the game theory and production management application. In the end, a numerical example is given to illustrate the rationality and practicality of the proposed game model.