A generalization of an oddness-theorem for bimatrix games
β Scribed by H. Meister
- Publisher
- Springer
- Year
- 1984
- Tongue
- German
- Weight
- 401 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0171-6468
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π SIMILAR VOLUMES
In this paper, we first prove a new fixed-point theorem from which the Kakutani's fixed-point theorem in locally convex topological vector spaces is immediately extended to H-spaces. Then, we establish a new existence theorem of equilibrium for generalized games in H-spaces, by applying our fixed-po
A theorem of Kneser states that in an abelian group G; if A and B are finite subsets in G and AB ΒΌ fab : a 2 A; b 2 Bg; then jABj5jAj ΓΎ jBj Γ jHΓ°ABΓj where HΓ°ABΓ ΒΌ fg 2 G : gΓ°ABΓ ΒΌ ABg: Motivated by the study of a problem in finite fields, we prove an analogous result for vector spaces over a field