Information and Volatility

66 Pages Posted: 7 Dec 2013 Last revised: 21 Oct 2014

See all articles by Dirk Bergemann

Dirk Bergemann

Yale University - Cowles Foundation - Department of Economics; Yale University - Cowles Foundation

Tibor Heumann

HEC Montreal

Stephen Morris

Princeton University - Department of Economics

Multiple version iconThere are 2 versions of this paper

Date Written: October 15, 2014

Abstract

In an economy of interacting agents with both idiosyncratic and aggregate shocks, we examine how the structure of private information in‡fluences aggregate volatility. The maximal aggregate volatility is attained in a noise free information structure in which the agents confound idiosyncratic and aggregate shocks, and display excess response to the aggregate shocks, as in Lucas. For any given variance of aggregate shocks, the upper bound on aggregate volatility is linearly increasing in the variance of the idiosyncratic shocks. Our results hold in a setting of symmetric agents with linear best responses and normal uncertainty. We establish our results by providing a characterization of the set of all joint distributions over actions and states that can arise in equilibrium under any information structure. This tractable characterization, extending results in Bergemann and Morris, can be used to address a wide variety of questions linking information with the statistical moments of the economy.

Keywords: Incomplete Information, Bayes Correlated Equilibrium, Volatility, Moments Restrictions, Linear Best Responses, Quadratic Payoffs

JEL Classification: C72, C73, D43, D83

Suggested Citation

Bergemann, Dirk and Heumann, Tibor and Morris, Stephen Edward, Information and Volatility (October 15, 2014). Princeton University William S. Dietrich II Economic Theory Center Research Paper No. 056-2013. Available at SSRN: https://ssrn.com/abstract=2364059 or http://dx.doi.org/10.2139/ssrn.2364059

Dirk Bergemann

Yale University - Cowles Foundation - Department of Economics ( email )

28 Hillhouse Ave
New Haven, CT 06520-8268
United States
203-432-3592 (Phone)
203-432-2128 (Fax)

HOME PAGE: http://www.econ.yale.edu/~dirk/

Yale University - Cowles Foundation

Box 208281
New Haven, CT 06520-8281
United States

Tibor Heumann

HEC Montreal ( email )

3000, Chemin de la Côte-Sainte-Catherine
Montreal, Quebec H2X 2L3
Canada

Stephen Edward Morris (Contact Author)

Princeton University - Department of Economics ( email )

Princeton, NJ 08544-1021
United States

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