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No 941:
An interpretive account of logical aggregation theory

Philippe Mongin () and Franz Dietrich

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 Sagerís doctrinal paradox and Pettitís 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 aim of the paper is to give the latter its own theoretical development, along the lines of Dietrich and Monginís recent technical work. However, the paper also aims at reviewing the main existing results, starting from the first impossibility theorem proved by List and Pettit. It provides a uniform logical framework in which the whole of theory can be stated and its theorems can be compared with each other.

The account goes through three historical steps: the scattered early results on the independence axiom, the collective achievement of the canonical theorem which provided the theory with its specific method of analysis; and finally the recent extension mentioned above to the doctrinal paradox.

Keywords: Judgment Aggregation; Logical Aggregation; Doctrinal Paradox; Discursive Dilemma; General Logic; Premiss-Based vs Conclusion-Based Approach; Social Choice Theory; (follow links to similar papers)

JEL-Codes: D70; D71; D79; (follow links to similar papers)

48 pages, February 1, 2011

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