Modification of Semivalues for Games with Coalition Structures

Theory and Decision 54 (3):185-205 (2003)
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Abstract

Consideration of reference systems for semivalues leads us to a global representation of the action of a semivalue on a game. Using this representation, we show how to modify semivalues to take account of coalition structures on the player set. The players' allocations according to a semivalue, including a modified semivalue, can be computed by means of products of matrices obtained from the multilinear extension of the game

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Jose Miguel
Florida Atlantic University

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