- PII
- S042473880000616-6-1
- DOI
- 10.7868/S0000616-6-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume / Issue №4
- Pages
- 101-107
- Abstract
- Some mapping is naturally associated with the noncooperative game of many persons. If this mapping is monotone, then the game is said to have a convex structure, and there are effective numerical methods for solving such games. how As a rule, finite coalition-free games in mixed strategies do not have convex structures. The article discusses modifications of such games based on perturbations the payoff functions of the players. Lower bounds for the magnitudes of perturbations are established, for which the modified game acquires a convex structure. Two new necessary and sufficient conditions for the presence of a convex structure in a finite coalition-free many-person game.
- Keywords
- ultimate non-cooperative multi-person game, convex game structure, monotone mapping
- Date of publication
- 01.10.2010
- Year of publication
- 2010
- Number of purchasers
- 2
- Views
- 864
RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods
- ISSN (Print) 0424-7388
- ISSN (Online) 3034-6177
ON MODIFICATIONS OF THE ULTIMATE NON-COALITIONAL GAME HAVING A CONVEX STRUCTURE
Индексирование
Scopus
Crossref
Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library