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Monotonicity and the Aumann–Shapley cost-sharing method in the discrete case

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  • Albizuri, M.J.
  • Díez, H.
  • Sarachu, A.

Abstract

We give an axiomatization of the Aumann–Shapley cost-sharing method in the discrete case by means of monotonicity and no merging or splitting (Sprumont, 2005). Monotonicity has not yet been employed to characterize this method in such a case, by contrast with the case in which goods are perfectly divisible, for which Monderer and Neyman (1988) and Young (1985b) characterize the Aumann–Shapley price mechanism.

Suggested Citation

  • Albizuri, M.J. & Díez, H. & Sarachu, A., 2014. "Monotonicity and the Aumann–Shapley cost-sharing method in the discrete case," European Journal of Operational Research, Elsevier, vol. 238(2), pages 560-565.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:2:p:560-565
    DOI: 10.1016/j.ejor.2014.03.044
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    References listed on IDEAS

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