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The $$a$$ a -serial cost sharing rule

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  • M. Albizuri
  • M. Álvarez-Mozos

Abstract

A new family of cost sharing rules for cost sharing problems is proposed. This family generalizes the family of $$\alpha $$ α -serial cost sharing rules (Albizuri in Math Soc Sci 60:24–29, 2010 ) which contains the serial cost sharing rule (Moulin and Shenker in Econometrica 60:1009–1037, 1992 ) among others. Every rule of the family is characterized by means of two properties. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • M. Albizuri & M. Álvarez-Mozos, 2016. "The $$a$$ a -serial cost sharing rule," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(1), pages 73-86, March.
    • Handle: RePEc:spr:cejnor:v:24:y:2016:i:1:p:73-86
    DOI: 10.1007/s10100-013-0331-6
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    References listed on IDEAS

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    1. 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.
    2. Albizuri, M. Josune, 2010. "The [alpha]-serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 24-29, July.
    3. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    4. Albizuri, M. Josune & Zarzuelo, Jose M., 2007. "The dual serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 150-163, March.
    5. Maurice Koster, 2007. "The Moulin–Shenker rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 271-293, September.
    6. 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.
    7. Maurice Koster, 2006. "Heterogeneous cost sharing, the directional serial rule," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 429-444, December.
    8. Hougaard, Jens Leth & Thorlund-Petersen, Lars, 2001. "Mixed serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 51-68, January.
    9. Angeles de Frutos, M., 1998. "Decreasing Serial Cost Sharing under Economies of Scale," Journal of Economic Theory, Elsevier, vol. 79(2), pages 245-275, April.
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