2020The B E Journal of Theoretical EconomicsRequires access

A Comment on Arrow’s Impossibility Theorem

Alec Sandroni, Alec Sandroni, Alvaro Sandroni, Alvaro Sandroni

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Abstract

Abstract Arrow (1950) famously showed the impossibility of aggregating individual preference orders into a social preference order (together with basic desiderata). This paper shows that it is possible to aggregate individual choice functions, that satisfy almost any condition weaker than WARP, into a social choice function that satisfy the same condition (and also Arrow’s desiderata).

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Abstract Arrow (1950) famously showed the impossibility of aggregating individual preference orders into a social preference order (together with basic desiderata). This paper shows that it is possible to aggregate individual choice functions, that satisfy almost any condition weaker than WARP, into a social choice function that satisfy the same condition (and also Arrow’s desiderata).

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Available abstract

Abstract Arrow (1950) famously showed the impossibility of aggregating individual preference orders into a social preference order (together with basic desiderata). This paper shows that it is possible to aggregate individual choice functions, that satisfy almost any condition weaker than WARP, into a social choice function that satisfy the same condition (and also Arrow’s desiderata).

Key concepts: Arrow's impossibility theorem, Arrow, Impossibility, Social choice theory, Mathematical economics, Preference, Order (exchange), Function (biology)

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