6 papers
Groups with the fixed-point property
Nicolas Monod, Omer Tamuz, Lizzy Teryoshin
We propose the study of the class of groups that fix a point for every continuous action on any convex compact space. Oliver completed the corresponding program of classifying the…
Local Global Games and Network Common Learning
Olga Rospuskova, Omer Tamuz, Jake Zhang
We study global games in which agents coordinate locally, with their social network neighbors, contingent on a favorable state. Before acting, agents learn the private signals of a…
Local Coordination and the Geometry of Social Networks
Tom Hutchcroft, Olga Rospuskova, Omer Tamuz
We study agents playing a pure coordination game on a large social network. Agents are restricted to coordinate locally, without access to a global communication device, and so dif…
A fixed-point theorem for face maps, or deletion-tolerant random finite sets
Tom Hutchcroft, Nicolas Monod, Omer Tamuz
We establish a fixed-point theorem for the face maps that consist in deleting the th entry of an ordered set. Furthermore, we show that there exists random finite sets of intege…
Network and timing effects in social learning
Wade Hann-Caruthers, Minghao Pan, Omer Tamuz
We consider a group of agents who can each take an irreversible costly action whose payoff depends on an unknown state. Agents learn about the state from private signals, as well a…
Infinite stationary measures of co-compact group actions
Mohammedsaid Alhalimi, Tom Hutchcroft, Minghao Pan +2
Let be a finitely generated group, and let be a nondegenerate, finitely supported probability measure on . We show that every co-compact action on a locally compact…