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Quarterly Journal of Economics Vol. 124 No. 1 2009

Repeated Games with Frequent Signals*

Drew Fudenberg1; David K. Levine2

1 Harvard University · 2 Washington University in St. Louis

Abstract

We study repeated games with frequent actions and frequent imperfect public signals, where the signals are aggregates of many discrete events, such as sales or tasks. The high-frequency limit of the equilibrium set depends both on the probability law governing the discrete events and on how many events are aggregated into a single signal. When the underlying events have a binomial distribution, the limit equilibria correspond to the equilibria of the associated continuous-time game with diffusion signals, but other event processes that aggregate to a diffusion limit can have a different set of limit equilibria. Thus the continuous-time game need not be a good approximation of the high-frequency limit when the underlying events have three or more possible values.

DOI
10.1162/qjec.2009.124.1.233
Volume
124
Issue
1
Pages
233-265
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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