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

Marco Castellani and Massimiliano Giuli ()
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Marco Castellani: University of L’Aquila
Massimiliano Giuli: University of L’Aquila

Journal of Optimization Theory and Applications, 2023, vol. 196, issue 1, No 9, 199-211

Abstract: 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.

Keywords: Continuous selection; Fixed point; Generalized Nash equilibrium problem; 46N10; 49J53; 54H25; 91B02 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-022-02090-3

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