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Responsibility and Cross-Subsidization in Cost Sharing

  • MOULIN, Hervé
  • SPRUMONT, Yves.

We propose two axiomatic theories of cost sharing with the common premise that agents demand comparable -though perhaps different- commodities and 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 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 Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2002-19.

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Length: 40 ges pages
Date of creation: 2002
Date of revision:
Handle: RePEc:mtl:montde:2002-19
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  1. Moulin, Herve, 1995. "On Additive Methods to Share Joint Costs," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 98-99, August.
  2. Bossert, W., 1993. "Redistribution Mechanisms Based on Individual Characteristics," Working Papers 9307, University of Waterloo, Department of Economics.
  3. Sprumont, Yves, 2000. "Coherent Cost-Sharing Rules," Games and Economic Behavior, Elsevier, vol. 33(1), pages 126-144, October.
  4. Sprumont, Yves, 1997. "Balanced egalitarian redistribution of income," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 185-201, June.
  5. Moulin, HervÈ & Shenker, Scott, 1997. "Distributive and Additive Costsharing of an Homogeneous Good," Working Papers 97-21, Duke University, Department of Economics.
  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. 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.
  8. Sprumont, Y., 1996. "Ordinal Cost Sharing," Cahiers de recherche 9624, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. Samet, Dov & Tauman, Yair, 1982. "The Determination of Marginal Cost Prices under a Set of Axioms," Econometrica, Econometric Society, vol. 50(4), pages 895-909, July.
  10. Ori Haimanko, 2000. "Value theory without symmetry," International Journal of Game Theory, Springer, vol. 29(3), pages 451-468.
  11. Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
  12. repec:cup:cbooks:9780521450669 is not listed on IDEAS
  13. Koster, Maurice & Tijs, Stef & Borm, Peter, 1998. "Serial cost sharing methods for multi-commodity situations," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 229-242, December.
  14. Bertil Tungodden, 2005. "Responsibility and redistribution: The case of first best taxation," Social Choice and Welfare, Springer, vol. 24(1), pages 33-44, 06.
  15. repec:cup:cbooks:9780521271943 is not listed on IDEAS
  16. Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer, vol. 13(3), pages 343-355.
  17. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  18. Young, H Peyton, 1985. "Producer Incentives in Cost Allocation," Econometrica, Econometric Society, vol. 53(4), pages 757-65, July.
  19. Martin Shubik, 1961. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Cowles Foundation Discussion Papers 112, Cowles Foundation for Research in Economics, Yale University.
  20. 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.
  21. Koster, M.A.L. & Tijs, S.H. & Borm, P.E.M., 1998. "Serial cost sharing methods for multi-commodity situations," Other publications TiSEM 6633be50-672a-42f3-a966-8, Tilburg University, School of Economics and Management.
  22. Fleurbaey Marc, 1995. "Three Solutions for the Compensation Problem," Journal of Economic Theory, Elsevier, vol. 65(2), pages 505-521, April.
  23. 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.
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