Closure spaces and restricted games

Closure spaces and restricted games

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Article ID: iaor19992519
Country: Germany
Volume: 48
Issue: 1
Start Page Number: 57
End Page Number: 69
Publication Date: Jan 1998
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
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.

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