有限总体中的激励过程
Incentive Processes in Finite Populations
摘要：
我们定义的激励过程，一个自然的概括的莫兰过程，将进化更新机制对应于著名的进化动力学，如logit，投影，和最佳答复动态。固定概率和内部稳定状态的各种激励措施，包括新的封闭形式，以及固定概率的两个单参数家庭的激励过程的成员有关的结果。我们发现，激励过程的行为可以从确定性演化动力学的类似性质在某些方面显着偏离，但在其他方面是相似的。例如，当注视概率改变时，它们的比率保持恒定。
英文摘要：
We define the incentive process, a natural generalization of the Moran process incorporating evolutionary updating mechanisms corresponding to well-known evolutionary dynamics, such as the logit, projection, and best-reply dynamics. Fixation probabilities and internal stable states are given for a variety of incentives, including new closed-forms, as well as results relating fixation probabilities for members of two one-parameter families of incentive processes. We show that the behaviors of the incentive process can deviate significantly from the analogous properties of deterministic evolutionary dynamics in some ways but are similar in others. For example, while the fixation probabilities change, their ratio remains constant.
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