new fixed-point theorem for a family of maps defined on product spaces is obtained. The new result requires the functions involved to satisfy the local intersection properties. Previous results required the functions to have the open lower sections which are more restrictive conditions. New proper
✦ LIBER ✦
Fixed point theorems and their applications to theory of Nash equilibria
✍ Scribed by S. Heikkilä; K. Reffett
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 235 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we prove fixed point theorems for set-valued mappings in products of posets. Applications to the theory of Nash equilibria are presented.
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