多维Bertrand博弈均衡存在性

The existence of equilibrium in the multi-dimension Bertrand game

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。

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 shown that if the value of the capacity is different, the game possesses pure-strategy or mixed-strategy equilibria.