量子Bertrand-Edgeworth双寡头对策平衡点的存在性
Existence of equilibria in quantum Bertrand-Edgeworth duopoly game
摘要：
研究了双寡头市场价格竞争的两个模型，一个是现实模型，另一个是理想模型，这两个模型分别是经典模型和量子模型。现实模型的纯策略纳什均衡比经典形式博弈的理想纳什均衡存在更严格的条件。这个问题在经济学中被称为埃奇沃思悖论。然而，在量子形式博弈中，当纠缠度达到无穷大时，前者会收敛到后者。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
