The connection between Arrow theorem and Sperner lemma

Nikita Miku

Papers from arXiv.org

Abstract: It is well known that Sperner lemma is equivalent to Brouwer fixed-point theorem. Tanaka [12] proved that Brouwer theorem is equivalent to Arrow theorem, hence Arrow theorem is equivalent to Sperner lemma. In this paper we will prove this result directly. Moreover, we describe a number of other statements equivalent to Arrow theorem.

Date: 2022-12
New Economics Papers: this item is included in nep-des
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