IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v24y2016i1p73-86.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10100-013-0331-6
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10100-013-0331-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    2. 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.
    3. 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.
    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. 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.
    6. Albizuri, M. Josune, 2010. "The [alpha]-serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 24-29, July.
    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. 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.
    9. Hougaard, Jens Leth & Thorlund-Petersen, Lars, 2001. "Mixed serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 51-68, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Pham, Ngoc Anh, 2019. "Lorenz comparison between Increasing serial and Shapley value cost-sharing rules," Economics Letters, Elsevier, vol. 179(C), pages 49-52.
    3. 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.
    4. Maurice Koster, 2012. "Consistent cost sharing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 1-28, February.
    5. Olszewski, Wojciech, 2004. "Coalition strategy-proof mechanisms for provision of excludable public goods," Games and Economic Behavior, Elsevier, vol. 46(1), pages 88-114, January.
    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. Hougaard, Jens Leth & Thorlund-Petersen, Lars, 2001. "Mixed serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 51-68, January.
    8. Hervé Moulin & Yves Sprumont, 2007. "Fair allocation of production externalities : recent results," Revue d'économie politique, Dalloz, vol. 117(1), pages 7-36.
    9. Justin Leroux, 2006. "A discussion of the consistency axiom in cost-allocation problems," Cahiers de recherche 06-13, HEC Montréal, Institut d'économie appliquée.
    10. Albizuri, M. Josune, 2010. "The [alpha]-serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 24-29, July.
    11. Friedman, Eric J., 2012. "Asymmetric Cost Sharing mechanisms," Games and Economic Behavior, Elsevier, vol. 75(1), pages 139-151.
    12. Kumar, Rajnish, 2013. "Secure implementation in production economies," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 372-378.
    13. Moulin, Herve & Sprumont, Yves, 2006. "Responsibility and cross-subsidization in cost sharing," Games and Economic Behavior, Elsevier, vol. 55(1), pages 152-188, April.
    14. Sprumont, Yves, 2000. "Coherent Cost-Sharing Rules," Games and Economic Behavior, Elsevier, vol. 33(1), pages 126-144, October.
    15. Tejedo, Cyril & Truchon, Michel, 2002. "Serial cost sharing in multidimensional contexts," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 277-299, December.
    16. 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.
    17. Kolpin, Van & Wilbur, Dameon, 2005. "Bayesian serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 201-220, March.
    18. Calvo, E. & Santos, J. C., 2001. "Prices in Mixed Cost Allocation Problems," Games and Economic Behavior, Elsevier, vol. 37(2), pages 243-258, November.
    19. Koster, M., 2009. "Contracts, cost sharing and consistency," CeNDEF Working Papers 09-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:24:y:2016:i:1:p:73-86. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.