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On a covering theorem |
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| Authors: | Tatsuro Ichiishi Adam Idzik |
| Affiliation: | (1) Department of Economics, Ohio State University, Columbus, OH 43210-1172, USA (e-mail: ichiishi.1@osu.edu) , US;(2) Institute of Computer Science, Polish Academy of Sciences, ul. Ordona 21, 01-237 Warsaw, POLAND (e-mail: adidzik@ipipan.waw.pl) , PL |
| Abstract: | Summary. A simple proof of Reny and Wooders' recent strengthening of Shapley's extension of the Knaster-Kuratowski-Mazurkiewicz lemma on a closed cover of a simplex is given. The proof uses Ky Fan's coincidence theorem. Received: May 26, 2000; revised version: January 22, 2001 |
| Keywords: | and Phrases: Shapley's generalization of the K-K-M lemma Reny-Wooders' strengthening of Shapley's theorem Ky Fan's coincidence theorem Invulnerability Core of a non-side-payment game. |
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