Equal treatment, symmetry and Banzhaf value axiomatizations

Marcin Malawski ()
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Marcin Malawski: Instytut Podstaw Informatyki PAN, Ordona 21, PL 01-237 Warszawa, POLAND

International Journal of Game Theory, 2002, vol. 31, issue 1, 47-67

Abstract: The Banzhaf value is the only value satisfying the equal treatment, dummy player and marginal contributions conditions and neutrality of some linear operators on the spaces of games. Under some of these neutrality assumptions, equal treatment can be replaced by even weaker conditions. For linear values having the dummy player property, equal treatment is equivalent to symmetry. All these properties together imply the marginal contributions condition, but in some Banzhaf value axiomatizations marginal contributions cannot be a substitute for linearity.

Keywords: cooperative; games; ·; Banzhaf; value; ·; equal; treatment; ·; neutrality; of; operators (search for similar items in EconPapers)
Date: 2002-10-02
Note: Received: December 1997/Revised version: May 2001
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Citations: View citations in EconPapers (19)

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