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Responsibility and Cross-Subsidization in Cost Sharing

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  • Moulin, Herve

    (Rice U)

  • Sprumont, Yves

    (Universite de Montreal)

Abstract

We propose two axiomatic theories of cost sharing with the common premise that individual demands are comparable, though perhaps different, commodities, and that agents are responsible for their own demand. Under partial responsibility the agents are not responsible for the asymmetries of the cost function: two agents consuming the same amount of output always pay the same price; this holds true under full responsibility only if the cost function is symmetric in all individual demands. If the cost function is additively separable, each agent pays his/her stand alone cost under full responsibility; this holds true under partial responsibility only if, in addition, the cost function is symmetric. By generalizing Moulin and Shenker.s (1999) Distributivity axiom to cost- sharing methods for heterogeneous goods, we identify in each of our two theories a different serial method. The subsidy-free serial method (Moulin, 1995) is essentially the only distributive method meeting Ranking and Dummy. The cross-subsidizing serial method (Sprumont, 1998) is the only distributive method satisfying Separability and Strong Ranking. Finally, we propose an alternative characterization of the latter method based on a strengthening of Distributivity.

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Bibliographic Info

Paper provided by Rice University, Department of Economics in its series Working Papers with number 2002-05.

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Date of creation: Dec 2002
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Handle: RePEc:ecl:riceco:2002-05

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  1. Moulin, Herve & Shenker, Scott, 1999. "Distributive and Additive Costsharing of an Homogeneous Good," Games and Economic Behavior, Elsevier, vol. 27(2), pages 299-330, May.
  2. Roemer,John E., 1994. "Egalitarian Perspectives," Cambridge Books, Cambridge University Press, number 9780521450669, November.
  3. Sprumont, Yves, 1997. "Balanced egalitarian redistribution of income," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 185-201, June.
  4. Bossert, Walter, 1995. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 1-17, February.
  5. Koster, M.A.L. & Tijs, S.H. & Borm, P.E.M., 1998. "Serial cost sharing methods for multi-commodity situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-78039, Tilburg University.
  6. Friedman, Eric & Moulin, Herve, 1999. "Three Methods to Share Joint Costs or Surplus," Journal of Economic Theory, Elsevier, vol. 87(2), pages 275-312, August.
  7. Sprumont, Yves, 1998. "Ordinal Cost Sharing," Journal of Economic Theory, Elsevier, vol. 81(1), pages 126-162, July.
  8. Dov Samet & Yair Tauman, 1981. "The Determination of Marginal-Cost Prices Under a Set of Axioms," Discussion Papers 476, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Martin Shubik, 1962. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Management Science, INFORMS, vol. 8(3), pages 325-343, April.
  10. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier.
  11. Nouweland, C.G.A.M.. van den & Potters, J. & Tijs, S.H. & Zarzuelo, J., 1991. "Cores and related solution concepts for multi-choice games," Research Memorandum 478, Tilburg University, Faculty of Economics and Business Administration.
  12. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
  13. Fleurbaey Marc, 1995. "Three Solutions for the Compensation Problem," Journal of Economic Theory, Elsevier, vol. 65(2), pages 505-521, April.
  14. SPRUMONT, Yves, 1999. "Coherent Cost-Sharing Rules," Cahiers de recherche 9902, Universite de Montreal, Departement de sciences economiques.
  15. Tungodden, B., 2000. "Responsibility and Redistribution: the Case of First Best Taxation," Papers 14/00, Norwegian School of Economics and Business Administration-.
  16. Ori Haimanko, 2000. "Value theory without symmetry," International Journal of Game Theory, Springer, vol. 29(3), pages 451-468.
  17. Moulin, Herve, 1995. "On Additive Methods to Share Joint Costs," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 98-99, August.
  18. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  19. Thom Bezembinder & Hans Maassen, 2002. "Generating random weak orders and the probability of a Condorcet winner," Social Choice and Welfare, Springer, vol. 19(3), pages 517-532.
  20. Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
  21. Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer, vol. 13(3), pages 343-355.
  22. Young, H Peyton, 1985. "Producer Incentives in Cost Allocation," Econometrica, Econometric Society, vol. 53(4), pages 757-65, July.
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Citations

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Cited by:
  1. Moulin, Herve & Vohra, Rakesh, 2003. "Characterization of additive cost sharing methods," Economics Letters, Elsevier, vol. 80(3), pages 399-407, September.
  2. Moulin, Herve & Sprumont, Yves, 2003. "On Demand Responsiveness in Additive Cost Sharing," Working Papers 2003-10, Rice University, Department of Economics.
  3. SPRUMONT, Yves, 2010. "An Axiomatization of the Serial Cost-Sharing Method," Cahiers de recherche 01-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. MOULIN, Hervé & SPRUMONT, Yves, 2005. "Fair Allocation of Production Externalities: Recent Results," Cahiers de recherche 28-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. SPRUMONT, Yves, 2004. "Nearly Serial Sharing Methods," Cahiers de recherche 2004-14, Universite de Montreal, Departement de sciences economiques.
  6. Trudeau, Christian, 2009. "Cost sharing with multiple technologies," Games and Economic Behavior, Elsevier, vol. 67(2), pages 695-707, November.
  7. Eric Bahel & Christian Trudeau, 2013. "A discrete cost sharing model with technological cooperation," International Journal of Game Theory, Springer, vol. 42(2), pages 439-460, May.
  8. Trudeau, Christian, 2014. "Minimum cost spanning tree problems with indifferent agents," Games and Economic Behavior, Elsevier, vol. 84(C), pages 137-151.
  9. Edward Pearsall, 2009. "The complete incremental cost test for cross-subsidies with a sub-modular cost function," Journal of Regulatory Economics, Springer, vol. 36(3), pages 274-285, December.

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