Domains where the uniform rule is well behaved

Article Type

Research Article

Publication Title

International Journal of Game Theory

Abstract

We consider the problem of dividing one unit of an infinitely divisible object among a finite number of agents. We provide a characterization of all single-peaked domains on which the uniform rule is the unique division rule satisfying efficiency, strategy-proofness, and equal treatment of equals (ETE). Next, we consider non-single-peaked domains and provide a characterization of all such domains on which the uniform rule satisfies efficiency, strategy-proofness, and ETE. We also show that under some mild richness conditions the uniform rule is the unique rule satisfying the mentioned properties on these domains. Finally, we provide a wide range of applications to justify the usefulness of our results.

First Page

1033

Last Page

1071

DOI

10.1007/s00182-024-00906-2

Publication Date

9-1-2024

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