Ranking judgments in Arrow’s setting

Synthese 173 (2):199-210 (2010)
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Abstract

In this paper, I investigate the relationship between preference and judgment aggregation, using the notion of ranking judgment introduced in List and Pettit. Ranking judgments were introduced in order to state the logical connections between the impossibility theorem of aggregating sets of judgments and Arrow’s theorem. I present a proof of the theorem concerning ranking judgments as a corollary of Arrow’s theorem, extending the translation between preferences and judgments defined in List and Pettit to the conditions on the aggregation procedure.

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Daniele Porello
Università degli Studi di Genova

Citations of this work

Complexity of Judgment Aggregation.Ulle Endriss, Umberto Grandi & Daniele Porello - 2012 - Journal of Artificial Intelligence Research 45:481--514.
Lifting integrity constraints in binary aggregation.Umberto Grandi & Ulle Endriss - 2013 - Artificial Intelligence 199-200 (C):45-66.
Judgment aggregation in nonmonotonic logic.Xuefeng Wen - 2018 - Synthese 195 (8):3651-3683.
Natural Deduction for Modal Logic of Judgment Aggregation.Tin Perkov - 2016 - Journal of Logic, Language and Information 25 (3-4):335-354.

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References found in this work

Social Choice and Individual Values.Irving M. Copi - 1952 - Science and Society 16 (2):181-181.
Deliberative Democracy and the Discursive Dilemma.Philip Pettit - 2001 - Philosophical Issues 11 (1):268-299.
Social Choice and Individual Values.Kenneth Joseph Arrow - 1951 - New York, NY, USA: Wiley: New York.

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