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Values for Multialternative Games and Multilinear Extensions

Rie Ono
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Rie Ono: Faculty of Economics, University of Toyama, Gof¨ku Toyama, Japan

Homo Oeconomicus, 2000, vol. 17, 193-214

Abstract: We generalized the Banzhaf value in multialternative games defined by Bolger. We developed a new value, called a Banzhaf-like value, based on the axioms similar to those of the Bolger value. Like the derivation of the Banzhaf value, we modified one of the axioms of Bolger. We also applied Owen's multilinear extension to the multialternative games to show that this application gives a Banzhaf-like value as well.

Date: 2000
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