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- Title
SPLIT MODELING APPROACH TO NON-COOPERATIVE STRATEGIC GAMES.
- Authors
SINGH, SHIPRA; GIBALI, AVIV
- Abstract
In this paper, we examine how can one achieve equilibrium when two related non-cooperative strategic games are being played. We propose a split generalized Nash equilibrium problem for two non-cooperative strategic games and also define an equivalent split quasi-variational inequality problem. Further, by using the techniques of proving existence of quasi-variational inequality problems, we establish the existence of equilibria. Moreover, as an application, we investigate our split generalized Nash equilibrium problem in the terms of river basin pollution problem.
- Subjects
NONCOOPERATIVE games (Mathematics); FIXED point theory; NASH equilibrium; WATERSHEDS; RIVER pollution
- Publication
Applied Set-Valued Analysis & Optimization, 2023, Vol 5, Issue 3, p389
- ISSN
2562-7775
- Publication type
Article
- DOI
10.23952/asvao.5.2023.3.05