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J4 ›› 2008, Vol. 43 ›› Issue (12): 80-83.

• 论文 • 上一篇    下一篇

多维Bertrand博弈均衡存在性

徐进,陈柏晓   

  1. 山东大学数学学院, 山东 济南 250100
  • 收稿日期:2008-04-01 出版日期:2008-12-16 发布日期:2009-11-09
  • 通讯作者: 徐进 jinxu@sdu.edu.cn

The existence of equilibrium in the multi-dimension Bertrand game

 XU Jin, CHEN Bo-Xiao   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-04-01 Online:2008-12-16 Published:2009-11-09

摘要:

根据现实经济的情况,通过引入生产能力约束来改进原来的多维Bertrand博弈。可以证明,当生产能力取不同值时,博弈存在纯策略或者混合策略均衡。

关键词: Bertrand;生产能力;有效配给规则;均衡

Abstract:

According to the phenomena of games among the corporations in economic activities, the multi-dimension Bertrand model was developed through the introduction of the condition that the firms were limited by capacity constrains. It was shownthat if the value of the capacity is different,  the game possesses pure-strategy or mixed-strategy equilibria.

Key words: Bertrand; capacity constraints; efficient rationing rule; equilibrium

中图分类号: 

  • O225
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