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On fixed-path rationing methods. (English) Zbl 1038.91059

In [H. Moulin, J. Econ. Theory 84, 41–72 (1999; Zbl 0917.90027)], fixed-path rationing methods are characterized by efficiency, strategy-proofness, consistency, and resource-monotonicity.
Theorem (Moulin). A rule satisfies efficiency, strategy-proofness, consistency, and resource-monotonicity if and only if it is a fixed-path rationing method.
In the note a straightforward proof of this theorem is given.

MSC:

91B32 Resource and cost allocation (including fair division, apportionment, etc.)

Citations:

Zbl 0917.90027
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References:

[1] Moulin, H., Rationing a commodity along fixed paths, J. Econ. Theory, 84, 41-72 (1999) · Zbl 0917.90027
[2] Sprumont, Y., The division problem with single-peaked preferences: a characterization of the uniform allocation rule, Econometrica, 59, 509-519 (1991) · Zbl 0721.90012
[3] Thomson, W., Consistent solutions to the problem of fair division when preferences are single-peaked, J. Econ. Theory, 63, 219-245 (1994) · Zbl 0864.90008
[4] Thomson, W., Resource-monotonic solutions to the problem of fair division when preferences are single-peaked, Soc. Choice Welfare, 11, 205-223 (1994) · Zbl 0834.90006
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