We ask how the three known mechanisms for solving cost sharing problems with homogeneous cost functions - the value, the proportional, and the serial mechanisms - should be extended to arbitrary problem. We propose the Ordinality axiom, which requires that cost shares be invariante under all transactions preserving the nature of a cost sharing problem.
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Sprumont, Y., «Ordinal Cost Sharing.», Cahier de recherche #9624, Département de sciences économiques, Université de Montréal, 1996, 39 pages.