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On Kakutani's Fixed Point Theorem, the K-K-M-S Theorem and the Core of a Balanced Game.

We provide elementary proofs of Scarf's theorem on the non-emptiness of the core and of the K-K-M-S theorem, based.on Kakutani's fixed point theorem. We also show how these proofs can be modified to apply a coincidence theorem of Fan instead of Kakutani's fixed point theorem, for some additional simplicity.
Year of publication:
1991
Authors: Shapley, Lloyd ; Vohra, Rajiv
Published in:
Economic Theory. - Springer. - Vol. 1.1991, 1, p. 108-16
Publisher: Springer
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10005753301
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