Advertisement

The \(a\)-serial cost sharing rule

  • M. J. AlbizuriEmail author
  • M. Álvarez-MozosEmail author
Original Paper

Abstract

A new family of cost sharing rules for cost sharing problems is proposed. This family generalizes the family of \(\alpha \)-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.

Keywords

Cost sharing Serial rule Axiomatization 

Notes

Acknowledgments

We wish to thank the referees and the editor for their comments and suggestions which substantially improved a previous version of the document. This research received financial support from the Spanish Ministry of Economy and Competitiveness through Projects ECO2012-33618 and MTM2011-27731-02.

References

  1. Albizuri M (2009) The self-dual serial cost sharing rule. Theory Decis 69:555–567CrossRefGoogle Scholar
  2. Albizuri M (2010) The \(\alpha \)-serial cost sharing rule. Math Soc Sci 60:24–29CrossRefGoogle Scholar
  3. Albizuri M, Zarzuelo J (2007) The dual serial cost sharing rule. Math Soc Sci 53:150–163CrossRefGoogle Scholar
  4. de Frutos M (1998) Decreasing serial cost sharing rule under economies of scale. J Econ Theory 76:245–275CrossRefGoogle Scholar
  5. Hougaard J, Thorlund-Petersen L (2001) Mixed serial cost sharing. Math Soc Sci 41(1):51–68CrossRefGoogle Scholar
  6. Koster M (2002) Concave and convex serial cost sharing. In Borm P, Peters H (eds) Chapters in game theory, in honor of Stef Tijs, Chapter 7. Kluwer Academic Publishers, The Netherlands, pp 143–155Google Scholar
  7. Koster M (2006) Heterogeneous cost sharing, the directional serial rule. Math Methods Oper Res 64: 429–444Google Scholar
  8. Koster M (2007) The Moulin–Shenker rule. Soc Choice Welf 29:271–293CrossRefGoogle Scholar
  9. Koster M, Tijs S, Borm P (1998) Serial cost sharing methods for multi-commodity situations. Math Soc Sci 36:229–242CrossRefGoogle Scholar
  10. Moulin H, Shenker S (1992) Serial cost sharing. Econometrica 60:1009–1037CrossRefGoogle Scholar
  11. Moulin H, Shenker S (1994) Average cost pricing versus serial cost sharing: an axiomatic comparison. J Econ Theory 64:178–201Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Applied Economics IV, Faculty of Economics and Business AdministrationUniversity of the Basque CountryBilbaoSpain
  2. 2.Department of Actuarial, Financial, and Economic Mathematics, Faculty of EconomicsUniversity of BarcelonaBarcelonaSpain

Personalised recommendations