On interchangeability of Nash equilibria in multi-player strategic games
On interchangeability of Nash equilibria in multi-player strategic games
The article studies properties of interchangeability of pure, mixed, strict, and strict mixed Nash equilibria. The main result is a sound and complete axiomatic system that describes properties of interchangeability in all four settings. It has been previously shown that the same axiomatic system also describes properties of independence in probability theory, nondeducibility in information flow, and non-interference in concurrency theory.
Axiomatization, Interchangeability, Nash Equilibrium
57-78
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Nicholls, Brittany
47ed5b74-5992-4a08-8edb-357f6c0dd0bb
1 December 2013
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Nicholls, Brittany
47ed5b74-5992-4a08-8edb-357f6c0dd0bb
Naumov, Pavel and Nicholls, Brittany
(2013)
On interchangeability of Nash equilibria in multi-player strategic games.
Synthese, 190 (Suppl. 1), .
(doi:10.1007/s11229-013-0277-1).
Abstract
The article studies properties of interchangeability of pure, mixed, strict, and strict mixed Nash equilibria. The main result is a sound and complete axiomatic system that describes properties of interchangeability in all four settings. It has been previously shown that the same axiomatic system also describes properties of independence in probability theory, nondeducibility in information flow, and non-interference in concurrency theory.
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Accepted/In Press date: 26 March 2013
Published date: 1 December 2013
Additional Information:
Funding Information:
Acknowledgments Brittany Nicholls have been supported by National Science Foundation through a CREU award given by Computing Research Association Committee on the Status Of Women in Computing Research in conjunction with the Coalition to Diversify Computing.
Keywords:
Axiomatization, Interchangeability, Nash Equilibrium
Identifiers
Local EPrints ID: 475860
URI: http://eprints.soton.ac.uk/id/eprint/475860
ISSN: 0039-7857
PURE UUID: 785da075-2684-41e5-80d3-fac4d06cc0a7
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Date deposited: 29 Mar 2023 16:46
Last modified: 06 Jun 2024 02:12
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Author:
Pavel Naumov
Author:
Brittany Nicholls
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