Closure spaces and restricted games

Jesús Mario Bilbao

Mathematical Methods of Operations Research, 1998, vol. 48, issue 1, 57-69

Abstract: We study a cooperation structure in which the feasible coalitions are those belonging to a partition closure system. First, we develop the relation between the dividends of Harsanyi in the restricted game and the worth function in the original game. Next, we obtain an method for computing the Shapley and Banzhaf values of the closure-restricted games using the dividends formula. Finally, we analyze the dividends in symmetric games by means of the k-th difference operator. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Shapley and Banzhaf values; closure spaces (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:48:y:1998:i:1:p:57-69

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DOI: 10.1007/PL00020905

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