Information and Volatility
Dirk Bergemann,
Tibor Heumann and
Stephen Morris
No 1928R, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University
Abstract:
In an economy of interacting agents with both idiosyncratic and aggregate shocks, we examine how the information structure determines aggregate volatility. We show that the maximal aggregate volatility is attained in a noise free information structure in which the agents confound idiosyncratic and common components of the payoff state, and display excess response to the common component, as in Lucas (1972). The upper bound on aggregate volatility is linearly increasing in the variance of idiosyncratic shocks, for any given variance of aggregate shocks. Our results hold in a setting of symmetric agents with linear best responses and normal uncertainty. We show 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 (2013b), can be used to address a wide variety of questions.
Keywords: Incomplete information; Bayes correlated equilibrium; Volatility; Moments restrictions; Linear best responses; Quadratic payoffs (search for similar items in EconPapers)
JEL-codes: C72 C73 D43 D83 (search for similar items in EconPapers)
Pages: 66 pages
Date: 2013-12, Revised 2014-06
New Economics Papers: this item is included in nep-cta, nep-gth, nep-ict and nep-mic
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Related works:
Journal Article: Information and volatility (2015) 
Working Paper: Information and Volatility (2014) 
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