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Shipra Singh, Aviv Gibali, Split modeling approach to non-cooperative strategic games

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DOI: 10.23952/asvao.5.2023.3.05
Volume 5, Issue 3, 1 December 2023, Pages 389-400

 

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.

 

How to Cite this Article:
S. Singh, A. Gibali, Split modeling approach to non-cooperative strategic games, Appl. Set-Valued Anal. Optim. 5 (2023), 389-400.