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Three Methods to Share Joint Costs or Surplus

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Author Info
Eric Friedman
Moulin, Herve

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Abstract

We study cost sharing methods with variable demands of heterogeneous goods, additive in the cost function and meeting the Dummy axiom. We consider four axioms: Scale Invariance (SI); Demand Monotonicity (DM); Upper Bound for Homogeneous Goods (UBH) placing a natural cap on cost shares when goods are homogeneous; Average Cost Pricing for Homogeneous Goods (ACPH). The random order values based on Stand Alone costs are characterized by SI and DM. Serial costsharing, by DM and UB; the Aumann-Shapley pricing method, by SI and ACPH. No other combination of the four axioms is compatible with Additivity and Dummy.

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Publisher Info
Paper provided by Duke University, Department of Economics in its series Working Papers with number 95-38.

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Date of creation: 1995
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Publication status: Published in JOURNAL OF ECONOMIC THEORY, Vol. 87, 1999, pages 275-331
Handle: RePEc:duk:dukeec:95-38

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Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
D62 - Microeconomics - - Welfare Economics - - - Externalities
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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  1. Koster, M., 1998. "Multi-service serial cost sharing : a characterization of the Moulin-Shenker rule," Discussion Paper 6, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics. [Downloadable!]
    Other versions:
  3. Moulin, Herve & Sprumont, Yves, 2003. "On Demand Responsiveness in Additive Cost Sharing," Working Papers 2003-10, Rice University, Department of Economics. [Downloadable!]
    Other versions:
  4. SPRUMONT, Yves, 2004. "Nearly Serial Sharing Methods," Cahiers de recherche 2004-14, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  5. José Alcalde & José Angel Silva, 2000. "- A Procedure For Sharing Recycling Costs," Working Papers. Serie AD 2000-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  6. Eric Friedman, 1997. "Paths in Additive Cost Sharing," Departmental Working Papers 199706, Rutgers University, Department of Economics. [Downloadable!]
  7. Savvateev Alexey, 2003. "Strong equilibrium implementation for a principal with heterogeneous agents," EERC Working Paper Series 00-103e, EERC Research Network, Russia and CIS. [Downloadable!]
  8. Moulin, Herve, 2004. "On Scheduling Fees to Prevent Merging, Splitting and Transferring of Jobs," Working Papers 2004-04, Rice University, Department of Economics. [Downloadable!]
  9. Jens Leth Hougaard & Jørgen Tind, 2008. "Cost Allocation and Convex Data Envelopment," Discussion Papers 08-02, University of Copenhagen. Department of Economics. [Downloadable!]
    Other versions:
  10. Koster, M., 1998. "Multi-service serial cost sharing : an incompatibility with smoothness," Discussion Paper 122, Tilburg University, Center for Economic Research. [Downloadable!]
  11. Eric Friedman, 1997. "Weak and Strong Consistency in Additive Cost Sharing," Departmental Working Papers 199707, Rutgers University, Department of Economics. [Downloadable!]
  12. Yves Sprumont, 2008. "Nearly serial sharing methods," International Journal of Game Theory, Springer, vol. 37(2), pages 155-184, June. [Downloadable!] (restricted)
  13. Koster, M., 2005. "Cost Sharing, Differential Games, and the Moulin-Shenker Rule," CeNDEF Working Papers 05-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  14. SPRUMONT, Yves & MOULIN, Hervé, 2005. "Fair Allocation of Production Externalities: Recent Results," Cahiers de recherche 2005-22, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  15. Jesse A. Schwartz & Quan Wen, 2007. "A Subsidized Vickrey Auction for Cost Sharing," Working Papers 0705, Department of Economics, Vanderbilt University. [Downloadable!]
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This page was last updated on 2009-11-25.

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