A Note on Type-Symmetries in Finite Games

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Soeiro, R (Autor) FEUP; Alberto A. Pinto (Autor) FCUP

Revista

Título: Mathematics

Vol. 58

Página Final: 4696

Editora: MDPI

Indexação

ISI Web of Knowledge - 0 Citações

Outras Informações

ID Authenticus: P-00X-KAA

DOI: 10.3390/math10244696

Abstract (EN): In two-action generalized polymatrix games, Nash equilibria are support-type-symmetric, i.e., determined by supports for each type of player. We show that such a property does not generalize straightforwardly for games with at least three actions or where interaction weights have different signs (neither all positive nor negative). A non-trivial condition on interaction weights must be satisfied, which may go unnoticed as it is trivially satisfied for: (i) two-action games, (ii) conformity games, and (iii) congestion games. We derive this condition and the corresponding simplified analytic equation for mixed strategies.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13