Strategy-proof judgment aggregation
AbstractIn the theory of judgment aggregation on connected propositions, an important question remains open: Which aggregation rules are manipulable and which are strategy-proof? We define manipulability and strategy- proofness in judgment aggregation, characterize all strategy-proof aggregation rules, and prove an impossibility theorem similar to the classic Gibbard-Satterthwaite theorem. Among other ways to avoid the impossibility, we discuss weakening strategy-proofness itself. Comparing two prominent aggregation rules in the literature, we show that "conclusion-based voting" is strategy-proof, but generates incomplete judgments, while "premise-based voting" is only strategy-proof for "reason-oriented" individuals. Surprisingly, for "outcome-oriented" individuals, the two rules are strategically equivalent, generating identical judgments in equilibrium. Our results introduce game-theoretic considerations into judgment aggregation and have implications for debates on deliberative democracy.
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Bibliographic InfoPaper provided by EconWPA in its series Public Economics with number 0404007.
Length: 31 pages
Date of creation: 18 Apr 2004
Date of revision: 25 Jul 2005
Note: Type of Document - pdf; pages: 31. pdf, prepared with latex
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judgment aggregation; logic; strategic voting; strategy-proofness; characterization theorem; impossibility theorem; Gibbard-Satterthwaite theorem; doctrinal paradox; discursive dilemma; premise-based procedure; conclusion-based procedure;
Other versions of this item:
- Franz Dietrich & Christian List, 2005. "Strategy-proof judgment aggregation," STICERD - Political Economy and Public Policy Paper Series 09, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-04-25 (All new papers)
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