On a Fixed Point Theorem for General Multivalued Mappings on Finite Sets with Applications in Game Theory
| Autor: | Shravan Luckraz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Mathematics, Vol 2022 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2314-4785 |
| DOI: | 10.1155/2022/2477124 |
| Popis: | We propose a new fixed point theorem that completely characterizes the existence of fixed points for multivalued maps on finite sets. Our result can be seen as a generalization of Abian’s fixed point theorem. In the context of finite games, our result can be used to characterize the existence of a Nash equilibrium in pure strategies and can therefore distinguish pure strategy equilibria from mixed strategy equilibria in the celebrated Nash theorem. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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