One if by Land and Two if by Sea: A Glimpse into the Value of Information in Strategic Interactions

Time: Thursday, May 23, 2019 - 11:00am - 12:00pm
Type: Seminar Series
Presenter: Vijay Subramanian; EECS Department, University of Michigan
Room/Office: Room 335
Location:
17 Hillhouse Avenue
New Haven, CT 06511
United States

Department of Electrical Engineering Seminar

Associate Professor Vijay Subramanian
EECS Department at the University of Michigan

"One if by Land and Two if by Sea: A Glimpse into the Value of Information in Strategic Interactions"

Abstract: This work studies sequential social learning (also known as Bayesian observational learning), and how private communication can enable agents to avoid herding to the wrong action/state. Starting from the seminal BHW (Bikhchandani, Hirshleifer, and Welch, 1992) model where asymptotic learning does not occur, we allow agents to ask private and finite questions to a bounded subset of their predecessors. While retaining the publicly observed history of the agents and their Bayes rationality from the BHW model, we further assume that both the ability to ask questions and the questions themselves are common knowledge. Then interpreting asking questions as partitioning information sets, we study whether asymptotic learning can be achieved with finite capacity questions. Restricting our attention to the network where every agent is only allowed to query her immediate predecessor, an explicit construction shows that a 1-bit question from each agent is enough to enable asymptotic learning.

This is joint work with Shih-Tang Su and Grant Schoenebeck at the University of Michigan.

Bio: Vijay Subramanian is an Associate Professor in the EECS Department at the University of Michigan since 2014. After graduating with his Ph.D. from UIUC in 1999, he did a few stints in industry, research institutes and universities in the US and Europe before his current position. His main research interests are in stochastic modeling, communications, information theory and applied mathematics. A large portion of his past work has been on probabilistic analysis of communication networks, especially analysis of scheduling and routing algorithms. In the past he has also done some work with applications in immunology and coding of stochastic processes. His current research interests are on game theoretic and economic modeling of socio-technological systems and networks, and the analysis of associated stochastic processes.

Hosted by: Leandros Tassiulas

Thursday, May 23, 2019
17 Hillhouse Ave Room 335
11:00 AM