relation. For two alternatives and an odd number of agents, it follows from May’s Theorem that the majority aggregation rule is …

Eliaz (2004) has established a "meta-theorem" for preference aggregation which implies both Arrow's Theorem (1963) and … preference aggregation is the mutual exclusiveness of Pareto optimality, individual responsiveness (preference reversal) and non …-dictatorship. Recent work on judgment aggregation has obtained important generalizations of both Arrow's Theorem (List and Pettit 2003 …

Judgment aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all … judgment by a logical syntax. The theory derives from Kornhauser and Sager’s doctrinal paradox and Pettit’s discursive dilemma … as a particular application of the theory …

preference and judgment aggregation theory which show that the aggregate of several probability measures should not be conceived … desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is … the most natural aggregation theory for probability measures. Our aggregation functionals for the case of infinite …

This chapter briefly reviews the present state of judgment aggregation theory and tentatively suggests a future … aggregation theory lies with its applications rather than its internal theoretical development … direction for that theory. In the review, we start by emphasizing the difference between the doctrinal paradox and the …

In response to recent work on the aggregation of individual judgments on logically connected propositions into … collective judgments, it is often asked whether judgment aggregation is a special case of Arrowian preference aggregation. We … argue the op- posite. After proving a general impossibility result on judgment aggregation, we construct an embedding of …

Puppe [2007] of monotone Arrovian aggregation, our analysis yields a rich class of strategy-proof social choice functions on …