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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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
- Cost sharing
- Serial cost-sharing rule