Four Failures of Deliberating Groups

Deliberating about voting dimensions

It has been claimed that deliberation is capable of overcoming social choice theory impossibility results, by bringing about singlepeakedness. Our aim is to better understand the relationship between single-peakedness and collective justifications of preferences.

Deliberating Collective Decisions

We present a dynamic model of sequential information acquisition by a heterogeneous committee. At each date agents decide whether to vote to adopt one of two alternatives or continue to collect more information. The process stops when a qualified majority vote for an alternative. Three main insights emerge from our analysis and match an array of stylized facts on committee decision making. Firs...

Symmetry Groups of Four-manifolds

If a (possibly finite) compact Lie group acts effectively, locally linearly, and homologically trivially on a closed, simply-connected four-manifold with second Betti number at least 3, then it must be isomorphic to a subgroup of S × S, and the action must have nonempty fixed-point set. Our results strengthen and complement recent work by Edmonds, Hambleton and Lee, and Wilczyński, among others...

Citizens Deliberating Online: Theory and Some Evidence

Einstein structures on four-dimensional nutral Lie groups

When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...