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arXiv · 2307.03532

The generalized Nash game proposed by Rosen

Carlos Calderón·John Cotrina
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Abstract

We deal with the generalized Nash game proposed by Rosen, which is a game with strategy sets that are coupled across players through a shared constraint. A reduction to a classical game is shown, and as a consequence, Rosen's result can be deduced from the one given by Arrow and Debreu. We also establish necessary and sufficient conditions for a point to be a generalized Nash equilibrium employing the variational inequality approach. Finally, some existence results are given in the non-compact case under coerciveness conditions.

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Carlos Calderón, John Cotrina. 2023-07-07. The generalized Nash game proposed by Rosen. https://arxiv.org/abs/2307.03532

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