Introduction to Judgment Aggregation

Abstract : The present notes serve as material for the course Introduction to Judgment Ag- gregation to be given at the 23rd European Summer School on Logic, Language and Information (ESSLLI'11, Ljubljana). The notes are structured as follows: Section 1 introduces the field of judgment aggregation, its relations to preference aggregation and some formal preliminaries. Section 2 shows that the paradox that originated judgment aggregation is not a problem limited to propositionwise majority voting but a more general issue, illustrated by an impossibility theorem of judgment aggregation that is here proven. The relaxation of some conditions used in impossibility results in judgment aggregation may lead to escape routes from the impossibility theorems. These escape routes are explored in Section 3. Section 4 presents the issue of manipulation that arises when voters strategically misrepresent their true vote in order to force a different outcome in the aggregation process. Finally, we conclude by sketching a list of on-going research in the field of judgment aggregation (Section 5)
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Communication dans un congrès
ESSLLI 2011, Aug 2011, Ljubljana, Slovenia. Lectures on Logic and Computation ESSLLI 2010, Copenhagen, Denmark, August 2010, ESSLLI 2011, Ljubljana, Slovenia, August 2011, Selected Lecture Notes, pp.160-209, 2012, 〈10.1007/978-3-642-31485-8_5〉
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Davide Grossi, Gabriella Pigozzi. Introduction to Judgment Aggregation. ESSLLI 2011, Aug 2011, Ljubljana, Slovenia. Lectures on Logic and Computation ESSLLI 2010, Copenhagen, Denmark, August 2010, ESSLLI 2011, Ljubljana, Slovenia, August 2011, Selected Lecture Notes, pp.160-209, 2012, 〈10.1007/978-3-642-31485-8_5〉. 〈hal-01497075〉

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