Possibilistic randomisation in strategic-form games
Possibilistic randomisation in strategic-form games
Since the seminal work of John Nash, convex combinations of actions are known to guarantee the existence of equilibria in strategic-form games. This paper introduces an alternative notion of randomisation among actions – possibilistic randomisation – and investigates the mathematical consequences of doing so. The framework of possibility theory gives rise to two distinct notions of equilibria both of which are characterised in our main results: a qualitative one based on the Sugeno integral and a quantitative one based on the Choquet integral. Then the two notions of equilibrium are compared against a coordination game with payoff-distinguishable equilibria known as the Weak-link game.
204-225
Hosni, Hykel
5fea876f-a264-4ea6-8026-da7507f970c8
Marchioni, Enrico
729c9984-5949-438e-8de7-0e079bdb9f96
November 2019
Hosni, Hykel
5fea876f-a264-4ea6-8026-da7507f970c8
Marchioni, Enrico
729c9984-5949-438e-8de7-0e079bdb9f96
Hosni, Hykel and Marchioni, Enrico
(2019)
Possibilistic randomisation in strategic-form games.
International Journal of Approximate Reasoning, 114, .
(doi:10.1016/j.ijar.2019.08.008).
Abstract
Since the seminal work of John Nash, convex combinations of actions are known to guarantee the existence of equilibria in strategic-form games. This paper introduces an alternative notion of randomisation among actions – possibilistic randomisation – and investigates the mathematical consequences of doing so. The framework of possibility theory gives rise to two distinct notions of equilibria both of which are characterised in our main results: a qualitative one based on the Sugeno integral and a quantitative one based on the Choquet integral. Then the two notions of equilibrium are compared against a coordination game with payoff-distinguishable equilibria known as the Weak-link game.
Text
revision-possibilistic-equilibria-journal FINAL
- Accepted Manuscript
More information
Submitted date: 2018
Accepted/In Press date: 19 August 2019
e-pub ahead of print date: 3 September 2019
Published date: November 2019
Identifiers
Local EPrints ID: 433986
URI: http://eprints.soton.ac.uk/id/eprint/433986
ISSN: 0888-613X
PURE UUID: a029378b-106c-4a07-940a-407f00aa1485
Catalogue record
Date deposited: 09 Sep 2019 16:49
Last modified: 16 Mar 2024 06:59
Export record
Altmetrics
Contributors
Author:
Hykel Hosni
Author:
Enrico Marchioni
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics