On a covering theorem

Adam Idzik () and Tatsuro Ichiishi ()
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Adam Idzik: Institute of Computer Science, Polish Academy of Sciences, ul. Ordona 21, 01-237 Warsaw, POLAND
Tatsuro Ichiishi: Department of Economics, Ohio State University, Columbus, OH 43210-1172, USA

Economic Theory, 2002, vol. 19, issue 4, 833-838

Abstract: 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.

Keywords: 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. (search for similar items in EconPapers)
JEL-codes: C62 C71 D50 D74 L20 (search for similar items in EconPapers)
Date: 2002-02-06
Note: Received: May 26, 2000; revised version: January 22, 2001
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Citations: View citations in EconPapers (3)

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