Common learning with intertemporal dependence
Consider two agents who learn the value of an unknown parameter by observing a sequence of private signals. Will the agents commonly learn the value of the parameter, i.e., will the true value of the parameter become approximate common-knowledge? If the signals are independent and identically distributed across time (but not necessarily across agents), the answer is yes (Cripps et al., Econometrica, 76(4):909–933, 2008 ). This paper explores the implications of allowing the signals to be dependent over time. We present a counterexample showing that even extremely simple time dependence can preclude common learning, and present sufficient conditions for common learning. Copyright Springer-Verlag 2013
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Volume (Year): 42 (2013)
Issue (Month): 1 (February)
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006.
321307000000000355, UCLA Department of Economics.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575, Cowles Foundation for Research in Economics, Yale University.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2006. "Common Learning," Cowles Foundation Discussion Papers 1575R, Cowles Foundation for Research in Economics, Yale University, revised Jun 2007.
- Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2007. "Common Learning," PIER Working Paper Archive 07-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Jakub Steiner & Colin Stewart, 2010.
"Communication, Timing, and Common Learning,"
tecipa-389, University of Toronto, Department of Economics.
- Stephen Morris, .
""Approximate Common Knowledge Revisited'',"
CARESS Working Papres
96-06, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
- Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-91, June.
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