论文标题
进化稳定策略和立方体向量领域
Evolutionary Stable Strategies and Cubic Vector Fields
论文作者
论文摘要
游戏理论的概念和普通微分方程的概念源于生物学，从而诞生了进化稳定策略领域，并在生物学，遗传学，政治，经济学等中应用。在特殊中，由两个具有两种纯粹策略的玩家组成的模型在平面立方体矢量场中都带有不变的octothorpe。因此，在本文中，我们研究了这样的矢量场，提出了通用性的概念，并在Octothorpe的中央地区提供了奇异性的通用系统的全球相肖像。
The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology, Genetics, Politics, Economics and others. In special, the model composed by two players having two pure strategies each results in a planar cubic vector field with an invariant octothorpe. Therefore, in this paper we study such class of vector fields, suggesting the notion of genericity and providing the global phase portraits of the generic systems with a singularity at the central region of the octothorpe.
