Generalization of Zhou Fixed Point Theorem
We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an application, we derive a generalization of Topkis’ theorem on the existence and order structure of the set of Nash equilibria of supermodular games.
Authors
- Lu Yu (ORCID: https://orcid.org/0000-0001-6154-4229)
Institutions
- Centre d'Économie de la Sorbonne (FR)
- Université Paris 1 Panthéon-Sorbonne (FR)
Publication Details
- Journal
- International Game Theory Review
- Published
- 2024-08-16
- DOI
- https://doi.org/10.1142/s0219198924500142
- Citations
- 2
- Primary Topic
- Graph Labeling and Dimension Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.72