Obvious manipulations, consistency, and the uniform rule

TL;DR

This paper characterizes the uniform rule as the unique allocation method that ensures efficiency, fairness, consistency, and resistance to obvious manipulation in the division of a divisible good among agents with single-peaked preferences.

Contribution

It establishes a unique characterization of the uniform rule based on key fairness and strategic properties in a specific allocation setting.

Findings

The uniform rule is the only rule satisfying the specified axioms.

The rule guarantees efficiency and equal division.

It is consistent and non-obviously manipulable.

Abstract

In the problem of fully allocating an infinitely divisible commodity among agents whose preferences are single-peaked, we show that the uniform rule is the only allocation rule that satisfies efficiency, the equal division guarantee, consistency, and non-obvious manipulability.