, Volume 15, Issue 2, pp 297-311

Strategy-proof division with single-peaked preferences and individual endowments

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Abstract.

We consider the problem of (re)allocating the total endowment of an infinitely divisible commodity among agents with single-peaked preferences and individual endowments. We propose an extension of the so-called uniform rule and show that it is the unique rule satisfying Pareto optimality, strategy-proofness, reversibility, and an equal-treatment condition. The resulting rule turns out to be peaks-only and individually rational: the allocation assigned by the rule depends only on the peaks of the preferences, and no agent is worse off than at his individual endowment.

Received: 8 September 1995/Accepted: 30 October 1996