On structural stability of evolutionary stable strategies

Autor(es)

Bastos, Jefferson ; Buzzi, Claudio ; Santana, Paulo

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 389, p. 38-pg., 2024-01-24.

Resumo

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. (c) 2024 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 21/01799-9 - Estudo de campos de vetores com aplicações na teoria dos jogos
• Beneficiário: Paulo Henrique Reis Santana
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático