The replicator dynamics of generalized Nash games

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2021-05-18 DOI:10.5206/MASE/11137
Jason Lequyer
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Abstract

Generalized Nash Games are a powerful modelling tool, first introduced in the 1950's. They have seen some important developments in the past two decades. Separately, Evolutionary Games were introduced in the 1960's and seek to describe how natural selection can drive phenotypic changes in interacting populations. In this paper, we show how the dynamics of these two independently formulated models can be linked under a common framework and how this framework can be used to expand Evolutionary Games. At the center of this unified model is the Replicator Equation and the relationship we establish between it and the lesser known Projected Dynamical System.
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广义纳什对策的复制因子动力学
广义纳什博弈是一个强大的建模工具,在20世纪50年代首次引入。在过去的二十年里,他们看到了一些重要的发展。另外,进化游戏是在20世纪60年代引入的,旨在描述自然选择如何在相互作用的种群中驱动表型变化。在本文中,我们将展示这两个独立模型的动态如何在一个共同框架下联系起来,以及该框架如何用于扩展进化游戏。这个统一模型的中心是复制方程,以及我们在它和鲜为人知的投影动力系统之间建立的关系。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
0
审稿时长
21 weeks
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