In the very general setting of Armstrong (1980) for Arrow's Theorem, I show two results. First, in an infinite society, Anonymity is inconsistent with Unanimity and Independence if and only if a domain for social welfare functions satisfies a modest condition of richness. While Arrow's axioms...

We study the decision process in a group dictator game in which three subjects can distribute an initial endowment between themselves and a group of recipients. The experiment consists of two stages: first, individuals play a standard dictator game. Second, individuals are randomly matched into...

This chapter discusses different types of domain restrictions. We begin by analyzing various qualitative conditions on preference profiles. Value-restricted preferences (with single-peaked preferences as one of its subcases), limited agreement as well as antagonistic and dichotomous preferences...

Given a set of outcomes that affect the welfare of the members of a group, K.J. Arrow imposed the following five conditions on the ordering of the outcomes as a function of the preferences of the individual group members, and then proved that the conditions are logically inconsistent: • The...

I build a model to make a key point that social welfare functions that only rely on individual utility (or individual preference orderings) still may reflect what people typically think of as a non-welfarist approach, further suggesting that non-welfarist methods (e.g., paternalistic methods)...

This paper examines a model of duopoly firms selling to an exogenously formed buyer group consisting of members with heterogeneous preferences. Two research questions are addressed: (1) when is it optimal for a buyer group to commit to exclusive purchase from a single seller, and (2) how does...

We study the phenomenon of strategic polarization in group interactions. Agents with private preferences choose a public action (e.g., voice opinions), and the mean of their actions represents the group’s realized outcome. They face a trade-off between influencing the group outcome and...

We study the judgment aggregation problem from the perspective of justifying a particular collective decision by a corresponding aggregation on the criteria. In particular, we characterize the logical relations between the decision and the criteria that enable justification of a majority...