A note on coupled constraint Nash games
Orestes Bueno, Carlos Calderon, John Cotrina
TL;DR
This paper revisits a generalized Nash equilibrium problem introduced by Rosen in 1965, establishing an existence result under quasiconvexity that differs from previous findings by Aussel and Dutta in 2008.
Contribution
It provides a new existence theorem for coupled constraint Nash games under quasiconvexity, expanding the theoretical understanding of such equilibrium problems.
Findings
Existence of solutions established under quasiconvexity.
New proof independent of previous results by Aussel and Dutta.
Contributes to the theoretical foundation of generalized Nash equilibrium analysis.
Abstract
In this note we are interested in a relevant generalized Nash equilibrium problem, which was proposed by Rosen in 1965. An existence result is established in the general setting of quasiconvexity, which is independent from the one given by Aussel and Dutta in 2008.
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Taxonomy
TopicsOptimization and Variational Analysis · Game Theory and Voting Systems · Economic theories and models