The aggregation of consistent individual judgments on logically interconnected propositions into a collective judgment on the same propositions has recently drawn much attention. Seemingly reasonable aggregation procedures, such as propositionwise majority voting, cannot ensure an equally consistent collective conclusion. The literature on judgment aggregation refers to such a problem as the di...

This introduces the symposium on judgment aggregation. The theory of judgment aggregation asks how several individuals’ judgments on some logically connected propositions can be aggregated into consistent collective judgments. The aim of this introduction is to show how ideas from the familiar theory of preference aggregation can be extended to this more general case. We first translate a proof...

Cooperating agents need to reach group decisions on several logically related issues. These decision-making problems are studied in social choice theory by the discipline of judgment aggregation. Judgment aggregation produces group decisions by aggregating individual answers to binary questions, however existing aggregation rules are defined for a very restricted setting, insufficient for aggre...

We study a general aggregation problem in which a society has to determine its position (yes/no) on each of several issues, based on the positions of the members of the society on those issues. There is a prescribed set of feasible evaluations, i.e., permissible combinations of positions on the issues. This framework for the theory of aggregation was introduced by Wilson and further developed b...

Preference judgment, as an alternative to graded judgment, leads to more accurate labels and avoids the need to define relevance levels. However, it also requires a larger number of judgments. Prior research has successfully reduced that number to O(Nd logNd) for Nd documents by assuming transitivity, which is still too expensive in practice. In this work, by analytically deriving the number of...

Judgment aggregation studies how agent opinions on logically interconnected propositions can be mapped into a collective judgment on the same propositions, and is plagued by impossibility results. In this paper we study the central notion of independence in these impossibility results. First, we argue that the distinction between the premises and conclusions play an important role in the benchm...

In this paper, we discuss the approach based on Social Choice Theory and Judgment Aggregation to the definition of collective reasoning. We shall make explicit the aggregative nature of the notion of collective reasoning that is defined in the Judgment Aggregation account and we shall stress that the notion of logical coherence plays a fundamental role in defining collective attitudes. Unfortun...

We analyse the problem of aggregating judgments over multiple issues from the perspective of whether aggregate judgments manage to e ciently use all voters’ private information. While new in judgment aggregation theory, this perspective is familiar in a di↵erent body of literature about voting between two alternatives where voters’ disagreements stem from conflicts of information rather than in...

Latino day laborers endure many hardships as they struggle to adjust as an immigrant community in the United States. This study sought to identify the extent of chronic stress reported by day laborers and the factors associated with stress. A total of 725 Latino day laborers were interviewed. The most reported sources of stress were having immigration-related problems, not having enough money t...

Don Saari has developed a geometric approach to the analysis of paradoxes of preference aggregation such as the Condorcet paradox or Arrow’s general possibility theorem. In this paper we extend this approach to judgment aggregation. In particular we use Saari’s representation cubes to provide a geometric representation of profiles and majority rule outcomes. We then show how profile decompositi...