Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value
AbstractThe 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.
Volume (Year): 13 (2011)
Issue (Month): 02 ()
Contact details of provider:
Web page: http://www.worldscinet.com/igtr/igtr.shtml
Find related papers by JEL classification:
- B4 - Schools of Economic Thought and Methodology - - Economic Methodology
- C0 - Mathematical and Quantitative Methods - - General
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- D7 - Microeconomics - - Analysis of Collective Decision-Making
- M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Dehez, Pierre & Ferey, Samuel, 2013.
"How to share joint liability: A cooperative game approach,"
Mathematical Social Sciences,
Elsevier, vol. 66(1), pages 44-50.
- DEHEZ, Pierre & FEREY, Samuel, 2012. "How to share joint liability: a cooperative game approach," CORE Discussion Papers 2012023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Dai, Meixing & Sidiropoulos, Moïse, 2011.
"Fiscal disciplining effect of central bank opacity: Stackelberg versus Nash equilibrium,"
29843, University Library of Munich, Germany.
- Meixing Dai & Moïse Sidiropoulos, 2011. "Fiscal disciplining effect of central bank opacity: Stackelberg versus Nash equilibrium," Economics Bulletin, AccessEcon, vol. 31(4), pages 3068-3076.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim).
If references are entirely missing, you can add them using this form.