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The self-dual serial cost-sharing rule


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.

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Correspondence to M. J. Albizuri.

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Albizuri, M.J. The self-dual serial cost-sharing rule. Theory Decis 69, 555–567 (2010).

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