Effectivity Functions and Simple Games

Ton Storcken
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Ton Storcken: Faculty of Economics, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands

International Journal of Game Theory, 1997, vol. 26, issue 2, 235-248

Abstract: The rather new notion of effectivity function is related to the notion of simple game. Every effectivity function is associated with a simple game. So theory about simple games may be applicable to effectivity functions. E.g. if the effectivity function is additive, then the associated simple game is weighted. Via a characterization of weighted simple games it is possible to characterize maximal additive effectivity functions. Finally we characterize additive effectivity functions and their associated simple games.

Date: 1998-05-19
Note: Received: February 1995
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