A simple proof of the representation theorem for betweenness preferences

TL;DR

This paper offers a straightforward proof of Dekel's 1986 representation theorem for betweenness preferences, utilizing the separation theorem to simplify the original proof.

Contribution

It provides a simplified proof of a key theorem in betweenness preferences using the separation theorem, making the result more accessible.

Findings

Simplified proof of Dekel's representation theorem

Utilizes the separation theorem for clarity

Enhances understanding of betweenness preferences

Abstract

This paper presents a simple proof of Dekel (1986)'s representation theorem for betweenness preferences. The proof is based on the separation theorem.