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Abstract:

Political Economy and Public Policy Paper
Strategy-proof judgment aggregation
Franz Dietrich and Christian List
August 2005
Paper No' PEPP 09:
Full Paper (pdf)

Tags: judgment aggregation; strategy-proofness; logic; gibbard-satterthwaite theorem

In the theory of judgment aggregation on logically 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 Gibbard-Satterthwaite theorem. Among other escape-routes from the impossibility, we discuss weakening strategy-proofness itself. Comparing two prominent aggregation rules, 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.