CLASSES OF MAPS WITH CONTINUOUS SELECTIONS AND GENERALIZED GAMES

Donal O’Regan

doi:10.1216/rmj.2023.53.889

CLASSES OF MAPS WITH CONTINUOUS SELECTIONS AND GENERALIZED GAMES

Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

Using some recent fixed point theorems of the author (based on Brouwer’s fixed point theorem and continuous selections) we generalize previous results in the literature on the existence of maximal elements. Then, existence results for equilibria are presented for one-person games which will then generate, after some analysis, a variety of existence results for N-person games.

Original language	English
Pages (from-to)	889-896
Number of pages	8
Journal	Rocky Mountain Journal of Mathematics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1216/rmj.2023.53.889
Publication status	Published - Jun 2023

Keywords

fixed point theory
generalized games
multivalued maps

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10.1216/rmj.2023.53.889

Cite this

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title = "CLASSES OF MAPS WITH CONTINUOUS SELECTIONS AND GENERALIZED GAMES",

abstract = "Using some recent fixed point theorems of the author (based on Brouwer{\textquoteright}s fixed point theorem and continuous selections) we generalize previous results in the literature on the existence of maximal elements. Then, existence results for equilibria are presented for one-person games which will then generate, after some analysis, a variety of existence results for N-person games.",

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KW - generalized games

KW - multivalued maps

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CLASSES OF MAPS WITH CONTINUOUS SELECTIONS AND GENERALIZED GAMES

Abstract

Keywords

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