非对称鹰鸽博弈的复制者动力学分析
An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game
摘要：
我们分析，使用动力系统的方法，复制动力学的非对称鹰鸽游戏中，有一组四个纯策略与任意的回报。给出了系统的平衡点及其稳定性，并推导出了纳什均衡。我们还详细地讨论了系统在选择典型Hawk-Dove参数时所表现出的局部分岔。我们还详细介绍了在这项工作中发现的结果和标准的两个策略鹰鸽游戏之间的连接。最后，我们总结了一些数值模拟的例子，进一步说明了系统的一些全球性的行为。
英文摘要：
We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We give a full account of the equilibrium points and their stability and derive the Nash equilibria. We also give a detailed account of the local bifurcations that the system exhibits based on choices of the typical Hawk-Dove parameters and . We also give details on the connections between the results found in this work and those of the standard two-strategy Hawk-Dove game. We conclude the paper with some examples of numerical simulations that further illustrate some global behaviours of the system.
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。
