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Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value

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  • PIERRE DEHEZ

    ()
    (CORE, University of Louvain, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium)

Abstract

The weighted value was introduced by Shapley in 1953 as an asymmetric version of his value. Since then several axiomatizations have been proposed including one by Shapley in 1981 specifically addressed to cost allocation, a context in which weights appear naturally. It was at the occasion of a comment in which he only stated the axioms. The present paper offers a proof of Shapley's statement as well as an alternative set of axioms. It is shown that the value is the unique rule that allocates additional fixed costs fairly: only the players who are concerned contribute to the fixed cost and they contribute in proportion to their weights. A particular attention is given to the case where some players are assigned a zero weight.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 13 (2011)
Issue (Month): 02 ()
Pages: 141-157

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Handle: RePEc:wsi:igtrxx:v:13:y:2011:i:02:p:141-157

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Related research

Keywords: Cost allocation; Shapley value; fixed cost; C71; D46;

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Cited by:
  1. Pierre Dehez, 2011. "Allocation of fixed costs: characterization of the (dual) weighted Shapley value," Working Papers of BETA 2011-03, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  2. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
  3. Meixing Dai & Moïse Sidiropoulos, 2011. "Fiscal disciplining effect of central bank opacity: Stackelberg versus Nash equilibrium," Working Papers of BETA 2011-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  4. Jenny Monheim-Helstroffer & Marie Obidzinski, 2011. "The EU legislation game: the case of asylum law," Working Papers of BETA 2011-16, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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