This chapter briefly reviews the present state of judgment aggregation theory and tentatively suggests a future direction for that theory. In the review, we start by emphasizing the difference between the doctrinal paradox and the discursive dilemma, two idealized examples which classically...

Decision making of agents who are members of a society is analyzed from the point of view of quantum decision theory. This generalizes the approach, developed earlier by the authors for separate individuals, to decision making under the influence of social interactions. The generalized approach...

Electoral legislation varies across countries and within countries over time, and across different types of elections in terms of how it allows publication of intermediate election results including turnout and candidates' vote shares during an election day. Using a pivotal costly voting model...

A fully committed sender seeks to sway a collective adoption decision through designing experiments. Voters have correlated payoff states and heterogeneous thresholds of doubt. We characterize the sender-optimal policy under unanimity rule for two persuasion modes. Under general persuasion,...

In this paper, we study collective information acquisition in groups that make decisions using majority rule. We argue both theoretically and experimentally that the median voter theorem does not apply; in general, the level of information acquired by the group is not equal to the level of...

This paper studies the strategic foundations of the Representative Voter Theorem (Rothstein, 1991), also called the second version of the Median Voter Theorem. As a by-product, it also considers the existence of non-trivial strategy-proof social choice functions over the domain of...

Interest groups are introduced in a spatial model of electoral competition between two political parties. We show that the presence of these interest groups increases the winning set, which is the set of policy platforms for the challenger that will defeat the incumbent. Therefore interest...

Interest groups are introduced in a spatial model of electoral competition between two political parties. We show that, by coordinating voting behavior,these interest groups increase the winning set, which is defined as the set of policy platforms for the challenger that will defeat the...

Power is a core concept in the analysis and design of organizations. One of the problems with the extant literature on positional power in hierarchies is that it is mainly restricted to the analysis of power in terms of the bare positions of the actors. While such an analysis informs us about...