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Description

An important element of social choice theory are impossibility theorem, such as Arrow's theorem and Gibbard-Satterthwaite's theorem, which state that under certain natural constraints, social choice mechanisms are impossible to construct. In recent years, beginning in Kalai, much work has been done in finding \textit{robust} versions of these theorems, showing that impossibility remains even when the constraints are \textit{almost} always satisfied. In this work we present an Algebraic approach for producing such results. We demonstrate it for a lesser known variant of Arrow's theorem, found in Dokow and Holzman.

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