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Strict equilibria interchangeability in multi-player zero-sum games

Strict equilibria interchangeability in multi-player zero-sum games
Strict equilibria interchangeability in multi-player zero-sum games
The interchangeability property of Nash equilibria in two-player zero-sum games is well known. This article studies possible generalizations of this property to multi-player zero-sum games.Aform of interchangeability property for strict Nash equilibria in such games is established. It is also shown, by proving a completeness theorem, that strict Nash equilibria do not satisfy any other non-trivial properties.
axiomatization, completeness, interchangeability, Nash equilibrium, zero-sum
0955-792X
851-861
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Simonelli, Italo
a48eb096-972c-4160-aff1-76dd6632790e
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Simonelli, Italo
a48eb096-972c-4160-aff1-76dd6632790e

Naumov, Pavel and Simonelli, Italo (2014) Strict equilibria interchangeability in multi-player zero-sum games. Journal of Logic and Computation, 24 (4), 851-861. (doi:10.1093/logcom/ext052).

Record type: Article

Abstract

The interchangeability property of Nash equilibria in two-player zero-sum games is well known. This article studies possible generalizations of this property to multi-player zero-sum games.Aform of interchangeability property for strict Nash equilibria in such games is established. It is also shown, by proving a completeness theorem, that strict Nash equilibria do not satisfy any other non-trivial properties.

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More information

e-pub ahead of print date: 11 October 2013
Published date: 1 August 2014
Keywords: axiomatization, completeness, interchangeability, Nash equilibrium, zero-sum
Learn more about Agents, Interactions and Complexity research

Identifiers

Local EPrints ID: 475942
URI: http://eprints.soton.ac.uk/id/eprint/475942
DOI: doi:10.1093/logcom/ext052
ISSN: 0955-792X
PURE UUID: f90ab03e-d42d-42d2-ad08-9b1b81544691
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 31 Mar 2023 16:43
Last modified: 17 Mar 2024 04:10

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Contributors

Author: Pavel Naumov ORCID iD
Author: Italo Simonelli

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