<研究ノート>Arrow の一般不可能性定理についての簡略な証明  [in Japanese] <Study Note>A Simple Proof of Arrow's General Impossibility Theorem  [in Japanese]

This paper presents an attempt to demonstrate a simple proof of Arrow's general impossibility theorem (Arrow(1951), (1963)): it makes use of figures as an auxiliary tool. As is well known, there are already many proofs of Arrow's general impossibility theorem in existence, including examples such as those propounded by Kelly (1978), Barbera (1980), Suzumura (1988), Denicolo (1996), (2001) and Geanokoplos (2001). Technically seen, the proof proposed here is not so very far from its predecessors, but the figures employed should make it possible to simplify the proof. As a result, it is hoped that the paper will prove useful for pedagogical purposes.

This paper presents an attempt to demonstrate a simple proof of Arrow's general impossibility theorem (Arrow (1951), (1963)) : it makes use of figures as an auxiliary tool. As is well known, there are already many proofs of Arrow's general impossibility theorem in existence, including examples such as those propounded by Kelly (1978), Barbera (1980), Suzumura (1988), Denicolo (1996), (2001) and Geanokoplos (2001). Technically seen, the proof proposed here is not so very far from its predecessors, but the figures employed should make it possible to simplify the proof. As a result, it is hoped that the paper will prove useful for pedagogical purposes.