✦ LIBER ✦
Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems
✍ Scribed by Sehie Park
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 564 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
A fixed-point theorem on compact compositions of acyclic maps on admissible (in the sense of Klee) convex subset of a t.v.s. is applied to obtain a cyclic coincidence theorem for acyclic maps, generalized "onNeumann type intersection theorems, the Nash type equilibrium theorems, and the "onNeumann minimax theorem. Our new results generalize earlier works of Lassonde [l], Simons [2], and Park [3,4].