Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The self-dual serial cost-sharing rule

Abstract

In this study, we present a cost-sharing rule for cost-sharing problems. This rule prescribes the same allocations in a problem and in its dual one. Moreover, in some specific problems it gives the same allocations as the serial cost-sharing rule (Moulin and Shenker, Econometrica, 60, 1009–1037, 1992) does in a related problem. That is why we call it as the self-dual serial cost-sharing rule. We give two axiomatizations of this new rule and another one for the serial cost-sharing rule.

This is a preview of subscription content, log in to check access.

References

  1. Albizuri M.J., Zarzuelo J.M. (2007) The dual serial cost-sharing rule. Mathematical Social Sciences, 53: 150–163

  2. Aumann S., Maschler J.M. (1985) Game-theoretic analysis of a bankruptcy problem from the Talmud. Journal od Economic Theory, 36: 195–213

  3. De Frutos M.A. (1998) Decreasing serial cost sharing under economies of scale. Journal of Economic Theory, 79: 245–275

  4. Leroux, J. (2005). Strategyproof profit sharing in partnerships: Improving upon autarky. Working paper 2005–06. Rice University.

  5. Moulin, H. (2002). Axiomatic cost and surplus sharing. In: K. J. Arrow, A. K. Sen, & K. Suzumura (Eds.), Handbook in social choice and welfare Vol. 1. Elsevier Science.

  6. Moulin H., Shenker S. (1992) Serial cost sharing. Econometrica 60: 1009–1037

  7. Shubik M. (1962) Incentives, decentralized control, the assignment of joint costs and internal pricing. Management Science 8: 325–343

  8. Tijs S., Koster M. (1998) General aggregation of demand and cost sharing methods. Annals of Operations Research 84: 137–164

Download references

Author information

Correspondence to M. J. Albizuri.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Albizuri, M.J. The self-dual serial cost-sharing rule. Theory Decis 69, 555–567 (2010). https://doi.org/10.1007/s11238-009-9137-3

Download citation

Keywords

  • Cost sharing
  • Serial cost-sharing rule
  • Self-duality