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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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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. 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.
  2. Bertil Tungodden, 2005. "Responsibility and redistribution: The case of first best taxation," Social Choice and Welfare, Springer, vol. 24(1), pages 33-44, 06.
  3. 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.
  4. 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.
  5. Eric Friedman & Moulin, Herve, 1995. "Three Methods to Share Joint Costs or Surplus," Working Papers 95-38, Duke University, Department of Economics.
  6. Moulin, HervÈ & Shenker, Scott, 1997. "Distributive and Additive Costsharing of an Homogeneous Good," Working Papers 97-21, Duke University, Department of Economics.
  7. Sprumont, Y., 1996. "Ordinal Cost Sharing," Cahiers de recherche 9624, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Sprumont, Y., 1995. "Balanced Egalitarian Redistribution of Income," Cahiers de recherche 9521, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. 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.
  10. Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
  11. Moulin, Herve, 1995. "On Additive Methods to Share Joint Costs," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 98-99, August.
  12. Roemer,John E., 1997. "Egalitarian Perspectives," Cambridge Books, Cambridge University Press, number 9780521574457, April.
  13. SPRUMONT, Yves, 1999. "Coherent Cost-Sharing Rules," Cahiers de recherche 9902, Universite de Montreal, Departement de sciences economiques.
  14. Sharkey,William W., 1983. "The Theory of Natural Monopoly," Cambridge Books, Cambridge University Press, number 9780521271943, April.
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  16. 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.
  17. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  18. Fleurbaey Marc, 1995. "Three Solutions for the Compensation Problem," Journal of Economic Theory, Elsevier, vol. 65(2), pages 505-521, April.
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  21. Bossert, Walter, 1995. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 1-17, February.
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  23. Ori Haimanko, 2000. "Value theory without symmetry," International Journal of Game Theory, Springer, vol. 29(3), pages 451-468.
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Citations

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Cited by:
  1. Eric Bahel & Christian Trudeau, 2011. "A Discrete Cost Sharing Model with Technological Cooperation," Working Papers e07-28, Virginia Polytechnic Institute and State University, Department of Economics.
  2. Hervé Moulin & Yves Sprumont, 2007. "Fair allocation of production externalities : recent results," Revue d'économie politique, Dalloz, vol. 0(1), pages 7-36.
  3. SPRUMONT, Yves, 2010. "An Axiomatization of the Serial Cost-Sharing Method," Cahiers de recherche 2010-01, Universite de Montreal, Departement de sciences economiques.
  4. Christian Trudeau, 2013. "Minimum cost spanning tree problems with indifferent agents," Working Papers 1306, University of Windsor, Department of Economics.
  5. Moulin, Herve & Sprumont, Yves, 2004. "On Demand Responsiveness in Additive Cost Sharing," Working Papers 2004-03, Rice University, Department of Economics.
  6. 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.
  7. Yves Sprumont, 2008. "Nearly serial sharing methods," International Journal of Game Theory, Springer, vol. 37(2), pages 155-184, June.
  8. Moulin, Herve & Vohra, Rakesh, 2003. "Characterization of additive cost sharing methods," Economics Letters, Elsevier, vol. 80(3), pages 399-407, September.
  9. Trudeau, Christian, 2009. "Cost sharing with multiple technologies," Games and Economic Behavior, Elsevier, vol. 67(2), pages 695-707, November.

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