多企业产量策略多维博弈研究

Study on Multidimensional Game among Multiple Firms about Output Strategies

根据现实社会经济活动中多企业多维博弈现象,首先探讨多个企业关于具有需求替代性产品产量策略的静态和动态多维博弈问题,然后求出其多维均衡结果,并通过算例对比多维博弈与单独博弈的均衡结果。分析表明:在产量策略多维动态博弈中,领头厂商将选择更高的产量策略,获得比尾随厂商更多的利润,即领头厂商具有先动优势;多维博弈下的多维Nash均衡策略优于单独博弈下的Nash均衡策略。

According to the phenomena of games among multiple firms in real economic activities,production strategy of alternative products with the requirements of static and dynamic multi-dimensional game problem of a number of enterprises is explore. The multidimensional equilibrium outcome is gotten, comparing the equilibrium outcome of multi-dimensional game with a single game. Analysis shows that leading manufacturers will choose a higher production strategy to obtain more profit than the trailing manufacturers in production strategies of muhi- dimensional dynamic game, which means leading manufacturers possess first-mover advantage. Multi-dimensional game Nash equilibrium strategy is superior to the Nash equilibrium strategy under the Multi-dimensional game.