Existence of pure equilibria in symmetric two-player zero-sum games

Mehmet S. Ismail () and Ronald Peeters ()
Additional contact information
Mehmet S. Ismail: King’s College London
Ronald Peeters: University of Otago

International Journal of Game Theory, 2025, vol. 54, issue 1, No 13, 18 pages

Abstract: Abstract This paper contributes to the literature on pure equilibria in symmetric zero-sum games in two main ways. First, we introduce new sufficient conditions, including interchangeability and weak quasiconcavity, for the existence of such equilibria. Second, we uncover relationships between these newly introduced conditions and existing ones. For instance, we demonstrate that the class of weakly quasiconcave games generalizes the class of quasiconcave games and ordinal potential games. Additionally, we show that exact potential games satisfy the interchangeability condition. However, no logical relationship exists between interchangeability and (weak) quasiconcavity.

Keywords: Saddle points; Symmetric two-player zero-sum games; Pure strategy equilibrium; Potential games; Quasiconcave games (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00182-025-00938-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00938-2

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-025-00938-2

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().