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The reverse self-dual serial cost-sharing rule

Author

Listed:
  • M. Albizuri
  • Henar Díez
  • Amaia Sarachu

Abstract

In this study we define a cost-sharing rule for cost-sharing problems. This rule is related to the serial cost-sharing rule defined by Moulin and Shenker (Econometrica 60:1009–1037, 1992 ). We give some formulas and axiomatic characterizations for the new rule. The axiomatic characterizations are related to some previous ones provided by Moulin and Shenker (J. Econ. Theory 64:178–201, 1994 ) and Albizuri (Theory Decis. 69:555–567, 2010 ). Copyright Sociedad de Estadística e Investigación Operativa 2014

Suggested Citation

  • M. Albizuri & Henar Díez & Amaia Sarachu, 2014. "The reverse self-dual serial cost-sharing rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 578-599, July.
    • Handle: RePEc:spr:topjnl:v:22:y:2014:i:2:p:578-599
    DOI: 10.1007/s11750-013-0272-1
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    References listed on IDEAS

    as
    1. 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.
    2. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 667-692, December.
    3. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    4. M. Albizuri, 2010. "The self-dual serial cost-sharing rule," Theory and Decision, Springer, vol. 69(4), pages 555-567, October.
    5. Albizuri, M. Josune & Zarzuelo, Jose M., 2007. "The dual serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 150-163, March.
    6. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
    7. Jens Hougaard & Lars Østerdal, 2009. "Decreasing serial cost sharing: an axiomatic characterization," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 469-479, November.
    8. 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.
    9. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Cost-sharing; Serial cost-sharing rule; Self-duality; D71; C79;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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