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The reverse self-dual serial cost-sharing rule

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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).

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Notes

  1. We have defined cost function C on [0,Q] not to define arbitrarily this cost function beyond Q. We could have chosen to define C and D q C on ℝ+ and all the results in this paper would be valid. The same happens for the definition of \(\widetilde{C}^{Q}\) in Sect. 3.

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Acknowledgements

This research has been partially supported by the Ministerio de Educación, Cultura y Deporte (ECO2012-33618 ) and UPV/EHU (UFI11/51).

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Authors and Affiliations

  1. Department of Applied Economics IV, Faculty of Business and Economics, University of the Basque Country, Avda Lehendakari Agirre, 83, 48015, Bilbao, Spain

    M. Josune Albizuri, Henar Díez & Amaia de Sarachu

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  1. M. Josune Albizuri
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  2. Henar Díez
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  3. Amaia de Sarachu
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Correspondence to M. Josune Albizuri.

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Albizuri, M.J., Díez, H. & de Sarachu, A. The reverse self-dual serial cost-sharing rule. TOP 22, 578–599 (2014). https://doi.org/10.1007/s11750-013-0272-1

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