This paper provides a sufficient condition for the existence of solutions for generalized Nash equilibrium problems in the infinite-dimensional setting and with a countable (possibly infinite) number of players. The result has been achieved as a consequence of a modified version of Michael's selection theorem that works even when the range space is not metrizable and the set-valued map has not closed values.

A Modified Michael's Selection Theorem with Application to Generalized Nash Equilibrium Problem

Castellani, M;Giuli, M
2023-01-01

Abstract

This paper provides a sufficient condition for the existence of solutions for generalized Nash equilibrium problems in the infinite-dimensional setting and with a countable (possibly infinite) number of players. The result has been achieved as a consequence of a modified version of Michael's selection theorem that works even when the range space is not metrizable and the set-valued map has not closed values.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/195450
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