Existence of equilibria in quantum Bertrand–Edgeworth duopoly game
Existence of equilibria in quantum Bertrand–Edgeworth duopoly game
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DOI：
10.1007/s11128-011-0276-4
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发表时间：
2010-03
影响因子：
2.5
通讯作者：
Yohei Sekiguchi;Kiri Sakahara;Takashi Sato
中科院分区：
文献类型：
--
作者：
Yohei Sekiguchi;Kiri Sakahara;Takashi Sato
研究了双寡头市场价格竞争的两种模型的经典版本和量子版本，一种是现实的，另一种是理想化的。现实模型的纯策略纳什均衡比经典形式博弈中的理想化纳什均衡存在更严格的条件。这就是经济学中被称为埃奇沃斯悖论的问题。然而，在量子形式博弈中，随着纠缠度趋向无穷大，前者收敛于后者。
Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter condition than that of the idealized one in the classical form game. This is the problem known as Edgeworth paradox in economics. In the quantum form game, however, the former converges to the latter as the measure of entanglement goes to infinity.