具有随机跳的随机复制系统的长期分析
Long-Run Analysis of the Stochastic Replicator Dynamics in the Presence of Random Jumps
摘要：
Fudenberg和Harris \cite{FH92}导出的随机复制子动态的进一步推广被认为是。特别地，泊松积分被引入到适应度中以模拟异常事件的影响。对于两个策略种群，得到了动态系统长期行为的估计。对于具有多个策略的种群，给出了纯严格Nash平衡点的稳定性条件、劣纯策略的灭绝条件以及内部进化稳定策略的邻域内常返性条件.这推广了Imhof \cite{I05}给出的结果.
英文摘要：
A further generalization of the stochastic replicator dynamic derived by Fudenberg and Harris \cite{FH92} is considered. In particular, a Poissonian integral is introduced to the fitness to simulate the affects of anomalous events. For the two strategy population, an estimation of the long run behavior of the dynamic is derived. For the population with many strategies, conditions for stability to pure strict Nash equilibria, extinction of dominated pure strategies, and recurrence in a neighborhood of an internal evolutionary stable strategy are derived. This extends the results given by Imhof \cite{I05}.
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