Nash Equilibrium for Set-Valued Maps
โ Scribed by J. Guillerme
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 416 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
We define a notion of Nash equilibrium for an arbitrary family of set-valued maps with values in pre-ordered sets. An existence theorem of such a Nash equilibrium is obtained from an intersection theorem for an arbitrary family of setvalued maps, generalizing results of Ky Fan, for example 1994 Academic Prew. Inc
๐ SIMILAR VOLUMES
In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vect