Quantum Model of Bertrand Duopoly  

作　　者：Salman Khan M. Ramzan M. K. Khan 

机构地区：[1]Department of Physics Quaid-i-Azam University, lslamabad 45320, Pakistan

出　　处：《Chinese Physics Letters》2010年第8期11-14,共4页中国物理快报（英文版）

摘　　要：We present a quantum model of Bertrand duopoly and study the entanglement behavior on the profit functions of the firms. Using the concept of optimal response of each firm to the price of the opponent, we find only one Nash equilibirum point for the maximally entangled initial state. The presence of quantum entanglement in the initial state gives payoffs higher to the firms than the classical payoffs at the Nash equilibrium. As a result, the dilemma-like situation in the classical game is resolved.We present a quantum model of Bertrand duopoly and study the entanglement behavior on the profit functions of the firms. Using the concept of optimal response of each firm to the price of the opponent, we find only one Nash equilibirum point for the maximally entangled initial state. The presence of quantum entanglement in the initial state gives payoffs higher to the firms than the classical payoffs at the Nash equilibrium. As a result, the dilemma-like situation in the classical game is resolved.

分 类 号：O413[理学—理论物理] O413.1[理学—物理]