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Responsibility and cross-subsidization in cost sharing

  • Moulin, Herve
  • 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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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 55 (2006)
Issue (Month): 1 (April)
Pages: 152-188

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Handle: RePEc:eee:gamebe:v:55:y:2006:i:1:p:152-188
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Bossert, Walter, 1995. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 1-17, February.
  2. Sprumont, Yves, 1998. "Ordinal Cost Sharing," Journal of Economic Theory, Elsevier, vol. 81(1), pages 126-162, July.
  3. Tungodden, B., 2000. "Responsibility and Redistribution: the Case of First Best Taxation," Papers 14/00, Norwegian School of Economics and Business Administration-.
  4. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
  5. 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.
  6. Eric Friedman & Moulin, Herve, 1995. "Three Methods to Share Joint Costs or Surplus," Working Papers 95-38, Duke University, Department of Economics.
  7. Ori Haimanko, 2000. "Value theory without symmetry," International Journal of Game Theory, Springer, vol. 29(3), pages 451-468.
  8. Sprumont, Y., 1995. "Balanced Egalitarian Redistribution of Income," Cahiers de recherche 9521, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. Hervé Moulin, 1995. "On Additive Methods To Share Joint Costs," The Japanese Economic Review, Japanese Economic Association, vol. 46(4), pages 303-332, December.
  10. 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, School of Economics and Management.
  11. 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.
  12. Sprumont, Yves, 2000. "Coherent Cost-Sharing Rules," Games and Economic Behavior, Elsevier, vol. 33(1), pages 126-144, October.
  13. 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, .
  14. 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.
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  17. Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
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  19. Young, H Peyton, 1985. "Producer Incentives in Cost Allocation," Econometrica, Econometric Society, vol. 53(4), pages 757-65, July.
  20. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
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  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.
  24. 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.
  25. 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.
  26. Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer, vol. 13(3), pages 343-355.
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