Associated consistency and Shapley value

Gerard Hamiache

International Journal of Game Theory, 2001, vol. 30, issue 2, 279-289

Abstract: In this work, a new axiomatization of the Shapley is presented. An associated game is constructed. We define a sequence of games, when the term of order n, in this sequence, is the associated game of the term of order (n-1). We show that the sequence converges and that the limit game is inessential. The solution is obtained using the inessential game axiom, the associated consistency axiom and the continuity axiom. As a by-product, we note that neither the additivity nor the efficiency axioms are needed.

Keywords: Shapley; value; ·; associated; game; ·; consistency. (search for similar items in EconPapers)
Date: 2001-12-17
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Citations: View citations in EconPapers (34)

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Working Paper: Associated Consistency and Shapley Value (1999)
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