Theorems on closed coverings of a simplex and their applications to cooperative game theory☆

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Abstract

New theorems of the Knaster-Kuratowski-Mazurkiewicz type are presented; they extend the related results of Scarf and Shapley. Applications to cooperative game theory are also given.

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☆

This paper was completed while Adam Idzik was visiting the Department of Economics, The Ohio State University, Columbus, Ohio, during the July Activities on Economics and Game Theory, July 6–29, 1988.

Copyright © 1990 Published by Elsevier Inc.