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Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems

Author

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  • John Cotrina

    (Universidad del Pacífico)

  • Raúl Fierro

    (Pontificia Universidad Católica de Valparaíso)

Abstract

This work is devoted to inverse maximum theorems and is motivated by the ones given by Komiya and Yamauchi. Also, we show that the results by Arrow and Debreu, on the existence of solutions for generalized Nash games, and the Kakutani–Fan–Glicksberg fixed point theorem can be derived from the Debreu–Fan–Glicksberg theorem, for classical Nash games.

Suggested Citation

  • John Cotrina & Raúl Fierro, 2023. "Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 1118-1129, September.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02279-0
    DOI: 10.1007/s10957-023-02279-0
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    References listed on IDEAS

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