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Ordinal proportional cost sharing. (English) Zbl 1031.91060
The authors consider cost sharing problems with variable demands of heterogeneous goods. They generalize the ordinal proportional method for the two-agent case of Y. Sprumont [J. Econ. Theory 81, 126-162 (1998; Zbl 0910.90277)] to an arbitrary number of agents.

91B32 Resource and cost allocation (including fair division, apportionment, etc.)
Full Text: DOI
[1] Billera, L.; Heath, D.; Raanan, J., Internal telephone billing rates: a novel application of nonatomic game theory, Operations research, 26, 956-965, (1978) · Zbl 0417.90059
[2] Billera, L.; Heath, D., Allocation of shared costs: a set of axioms yielding a unique procedure, Mathematics of operations research, 7, 32-39, (1982) · Zbl 0509.90009
[3] Corduneanu, C., 1977. Principles of Differential and Integral Equations. Chelsea, New York. · Zbl 0208.10701
[4] Friedman, E.; Moulin, H., Three additive methods to share joint costs or surplus, Journal of economic theory, 87, 275-312, (1999) · Zbl 1016.91056
[5] Gerald, C.F., Wheatley, P.O., 1999. Applied Numerical Analysis. Addison-Wesley, Reading, MA. · Zbl 0684.65002
[6] Haimanko, O., 1998. Partially symmetric values, mimeo. Hebrew University, Jerusalem.
[7] Kantorovich, L.V., Akilov, G.P. 1964. Functional Analysis in Normed Spaces. Pergamon Press, Oxford. · Zbl 0127.06104
[8] Koster, M.; Tijs, S.; Borm, P., Serial cost sharing methods for multi-commodity situations, Mathematical social sciences, 36, 229-242, (1998) · Zbl 0936.91037
[9] Mirman, L.; Tauman, Y., Demand compatible equitable cost sharing prices, Mathematics of operations research, 7, 40-56, (1982) · Zbl 0496.90016
[10] Moulin, H., On additive methods to share joint costs, Japanese economic review, 46, 303-332, (1995)
[11] Moulin, H., 1999. Axiomatic cost and surplus sharing. In: Arrow, Sen, Suzumura (Eds.), Handbook of Social Choice and Welfare.
[12] Moulin, H.; Shenker, S., Serial cost sharing, Econometrica, 60, 1009-1037, (1992) · Zbl 0766.90013
[13] Samet, D., Tauman, Y., 1982. The determination of marginal cost prices under a set of axioms. Econometrica 50, 895-909. · Zbl 0483.90020
[14] Shapley, L.S., 1953. A value for n-person games. In: Kuhn, H.W., Tucker, A.W. (Eds.), Contributions to the Theory of Games II. Annals of Mathematics Studies, 307-317. · Zbl 0050.14404
[15] Sprumont, Y., Ordinal cost sharing, Journal of economic theory, 81, 126-162, (1998) · Zbl 0910.90277
[16] Tauman, Y., 1988. The Aumann-Shapley prices: a survey. In: Roth, A. (Ed.), The Shapley Value. Cambridge University Press, Cambridge. · Zbl 0708.90009
[17] Wang, Y.-T., The additivity and dummy axioms in the discrete cost sharing model, Economics letters, 64, 187-192, (1999) · Zbl 0971.91509
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