On structural stability of Evolutionary Stables Strategies

Fuente: arXiv
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Autori principali: Bastos, Jefferson, Buzzi, Claudio, Santana, Paulo
Natura: Preprint
Pubblicazione: 2023
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author Bastos, Jefferson
Buzzi, Claudio
Santana, Paulo
author_facet Bastos, Jefferson
Buzzi, Claudio
Santana, Paulo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2305_16529
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On structural stability of Evolutionary Stables Strategies
Bastos, Jefferson
Buzzi, Claudio
Santana, Paulo
Dynamical Systems
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.
title On structural stability of Evolutionary Stables Strategies
topic Dynamical Systems
url https://arxiv.org/abs/2305.16529