鹰鸽博弈中量子演化策略

Quantum Evolution Strategy of Hawk-Dove Game

本文介绍量子博弈和量子演化博弈的基本概念,并分析鹰鸽博弈的量子策略和量子演化稳定策略。量子策略可以得到鹰鸽博弈的Pareto均衡,我们发现在资源利益比损失多情况下,鹰鹰策略不仅是Nash均衡还是量子演化稳定策略。

We introduce the basic concepts of quantum strategy and quantum evolution stable strategy and use them to analyze the Hawk-Dove game. We find that quantum strategy can realize the Pareto equilibrium by Dove-Dove strategy and the Hawk-Hawk strategy is not only a Nash equilibrium, but also a quantum evolution stable strategy when the re-source gain is larger than the loss in the Hawk-Dove game.