On structural stability of evolutionary stable strategies

Author(s)

Bastos, Jefferson ; Buzzi, Claudio ; Santana, Paulo

• Document type: Journal article
• Source: Journal of Differential Equations; v. 389, p. 38-pg., 2024-01-24.

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

• FAPESP's process: 21/01799-9 - The study of vector fields with applications at game theory
• Grantee: Paulo Henrique Reis Santana
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
• Grantee: Claudio Aguinaldo Buzzi
• Support Opportunities: Research Projects - Thematic Grants