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Some notes on possibilistic randomisation with t-norm based joint distributions in strategic-form games.
- Source :
-
International Journal of Approximate Reasoning . Mar2024, Vol. 166, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This article continues the investigation started in [18] on the role of possibilistic mixed strategies in strategic-form games. In this earlier work we assumed, as standard in possibility theory, that joint possibility distributions were computed by combining possibilistic mixed strategies with the minimum t-norm. In this paper, we investigate the consequences of defining joint possibility distributions by using any continuous t-norm, with players' expected utilities based on the Choquet integral. We characterise under which conditions a pair of possibilistic mixed strategies is an equilibrium, generalising the results first presented in [18] , and also show that the set of equilibria in possibilistic mixed strategies depends on the set of idempotent elements of a t-norm and not just on the chosen t-norm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *IDEMPOTENTS
*NASH equilibrium
*EXPECTED utility
*STRATEGY games
*TRIANGULAR norms
Subjects
Details
- Language :
- English
- ISSN :
- 0888613X
- Volume :
- 166
- Database :
- Academic Search Index
- Journal :
- International Journal of Approximate Reasoning
- Publication Type :
- Periodical
- Accession number :
- 175258360
- Full Text :
- https://doi.org/10.1016/j.ijar.2023.109109