The doctrinal paradox, the discursive dilemma, and logical aggregation theory

Philippe Mongin

MPRA Paper from University Library of Munich, Germany

Abstract: Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the latter its own theoretical development along the line of recent work by Dietrich and Mongin. However, the paper also aims at reviewing logical aggregation theory as such, and it covers impossibility theorems by Dietrich, Dietrich and List, Dokow and Holzman, List and Pettit, Mongin, Nehring and Puppe, Pauly and van Hees, providing a uniform logical framework in which they can be compared with each other. The review goes through three historical stages: the initial paradox and dilemma, the scattered early results on the independence axiom, and the so-called canonical theorem, a collective achievement that provided the theory with its specific method of analysis. The paper goes some way towards philosophical logic, first by briefly connecting the modern philosophy of judgment, and second by thoroughly discussing and axiomatizing the "general logic" built in this framework.

Keywords: Judgment Aggregation, Logical Aggregation, Doctrinal Paradox, Judgment Aggregation; Logical Aggregation; Doctrinal Paradox; Discursive Dilemma; General Logic; Premiss-Based vs Conclusion-Based Approach; Social Choice Theory; Impossibility Theorems (search for similar items in EconPapers)
JEL-codes: D70 D71 D79 (search for similar items in EconPapers)
Date: 2012
New Economics Papers: this item is included in nep-cdm and nep-hpe
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Citations: View citations in EconPapers (15)

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Related works:
Journal Article: The doctrinal paradox, the discursive dilemma, and logical aggregation theory (2012)
Working Paper: The doctrinal paradox, the discursive dilemma, and logical aggregation theory (2012)
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