Belief merging, judgment aggregation and some links with social choice theory
| Abstract | In this paper we explore the relation between three areas: judgment aggregation, belief merging and social choice theory. Judgment aggregation studies how to aggregate individual judgments on logically interconnected propositions into a collective decision on the same propositions. When majority voting is applied to some propositions (the premises) it may however give a different outcome than majority voting applied to another set of propositions (the conclusion). Starting from this so-called doctrinal paradox, the paper surveys the literature on judgment aggregation (and its relation to preference aggregation), and shows that the application of a well known belief merging operator can dissolve the paradox. Finally, the use of distances is shown to establish a link between belief merging and preference aggregation in social choice theory. | |||||||||
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Similar books and articlesChristian List (2005). Group Knowledge and Group Rationality: A Judgment Aggregation Perspective. Episteme 2 (1):25-38.
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Stephan Hartmann & Gabriella Pigozzi (2006). Merging Judgments and the Problem of Truth-Tracking. In Jerome Lang & Ulle Endriss (eds.), Computational Social Choice 2006. University of Amsterdam.
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