SFB 303 Discussion Paper No. A - 338

Author: Le Breton, Michel, Guillermo Owen, and Shlomo Weber
Title: Strongly Balanced Cooperative Games
Abstract: In this paper we introduce the concept of "strong balancedness" of a hypergraph, which provides an intuitive graph-theoretic interpretation of "integral property" of games in characteristic function form formulated by Kaneko / Wooders (1982). We apply the results from the hypergraph theory, presented in Berge (1987), and show that strong balancedness is equivalent to "normality" (Lovasz (1972)). We also study interesting economic examples of "communication" and "assignment" games and provide a direct proof that these games are strongly balanced.
Creation-Date: May 1991
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