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Three methods to share joint costs or surplus. (English) Zbl 1016.91056
Summary: We study cost sharing methods with variable demands of heterogeneous goods, additive in the cost function and meeting the dummy axiom. We consider four axioms: Scale Invariance (SI); Demand Monotonicity (DM); Upper Bound for Homogeneous goods (UBH) placing a natural cap on cost shares when goods are homogeneous; Average Cost Pricing for Homogeneous goods (ACPH). The random order values based on stand alone costs are characterized by SI and DM. Serial costsharing, by DM and UBH; the Aumann-Shapley pricing method, by SI and ACPH. No other combination of the four axioms is compatible with additivity and dummy.

MSC:
91B32 Resource and cost allocation (including fair division, apportionment, etc.)
91B18 Public goods
91B24 Microeconomic theory (price theory and economic markets)
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