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A Comment on Arrow’s Impossibility Theorem

Alec Sandroni and Alvaro Sandroni


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).

Keywords: Arrow; aggregators; WARP

Corresponding author: Alvaro Sandroni, Department of Managerial Economics and Decision Sciences, Kellogg School of Management, Northwestern University, Evanston, IL 60208, USA, E-mail:


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Received: 2019-11-24
Accepted: 2020-05-08
Published Online: 2020-07-06

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