On structural stability of Evolutionary Stables Strategies
Dynamical Systems
2024-05-08 v3
Abstract
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 polynomial vector field with an invariant octothorpe. In this paper we provide sufficient and necessary conditions for structural stability in this model.
Keywords
Cite
@article{arxiv.2305.16529,
title = {On structural stability of Evolutionary Stables Strategies},
author = {Jefferson Bastos and Claudio Buzzi and Paulo Santana},
journal= {arXiv preprint arXiv:2305.16529},
year = {2024}
}