首页> 中文期刊> 《吉林师范大学学报(自然科学版)》 >非对称信息条件下鹰鸽模型的量子博弈研究

非对称信息条件下鹰鸽模型的量子博弈研究

         

摘要

In this paper,using the theory of Quantum game established a quantum model of the hawk-dove game under asymmetric information,find the quantum Nash equilibrium strategy with different values of entanglement.And comparison with the classical game theory.In conditions of the classic game,we come to several equilibrium strategies which associated with conflict costs.In conditions of the quantum game,when the entanglement is equal to we draw a only Nash equilibrium strategy which unrelated with conflict costs.Classical game equilibrium strategy is a special case of quantum,where the entanglement is equal to zero.So this promotes the Nash equilibrium strategy of hawk-dove game,also greatly simplifies the operation.%本文利用量子博弈的相关理论建立了非对称信息条件下的鹰鸽量子博弈模型,求出了不同纠缠度值时的量子纳什均衡策略,并与经典博弈均衡策略比较得出:在经典博弈条件下得出与冲突成本相关的多重均衡策略,在量子博弈理论下得到与冲突成本无关的纠缠度为π/2时的唯一纳什均衡,而经典博弈论条件下的纳什均衡策略是量子均衡策略在纠缠度取零值的一种特殊情况,从而推广了鹰鸽博弈的纳什均衡策略解,也大大简化了运算.

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