Allocation of fixed costs: characterization of the (dual) weighted Shapley value
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.
|Date of creation:||2011|
|Contact details of provider:|| Postal: PEGE. 61, Aven. de la Forêt-Noire 67000 Strasbourg|
Phone: +33 3 68 85 20 69
Fax: +33 3 68 85 20 70
Web page: http://www.beta-umr7522.fr/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Thierry Burger-Helmchen & Laurence Frank, 2011.
"La création de rentes : une approche par les compétences et capacités dynamiques,"
De Boeck Université, vol. 0(2), pages 89-111.
- Thierry Burger-Helmchen & Laurence Frank, 2011. "La création de rentes : une approche par les compétences et capacités dynamiques," Working Papers of BETA 2011-01, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
- van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.
- Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157. Full references (including those not matched with items on IDEAS)