Fragility of asymptotic agreement under Bayesian learning
Under the assumption that individuals know the conditional distributions of signals given the payoff-relevant parameters, existing results conclude that as individuals observe infinitely many signals, their beliefs about the parameters will eventually merge. We first show that these results are fragile when individuals are uncertain about the signal distributions: given any such model, vanishingly small individual uncertainty about the signal distributions can lead to substantial (non-vanishing) differences in asymptotic beliefs. Under a uniform convergence assumption, we then characterize the conditions under which a small amount of uncertainty leads to significant asymptotic disagreement.
References listed on IDEAS
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- Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2006.
"Learning and Disagreement in an Uncertain World,"
NBER Working Papers
12648, National Bureau of Economic Research, Inc.
- Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2007. "Learning and Disagreement in an Uncertain World," Carlo Alberto Notebooks 48, Collegio Carlo Alberto.
- Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
- Stephen Morris, 1996. "Speculative Investor Behavior and Learning," The Quarterly Journal of Economics, Oxford University Press, vol. 111(4), pages 1111-1133.
- Stephen Morris, "undated". "Speculative Investor Behavior and Learning," Penn CARESS Working Papers d12f7936881423171f6589501, Penn Economics Department.
- Stephen Morris, "undated". ""Speculative Investor Behavior and Learning''," CARESS Working Papres 95-13, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Stephen Morris, 1996. "Speculative investor behavior and learning," Working Papers 96-5, Federal Reserve Bank of Philadelphia.
- Kurz, Mordecai, 1996. "Rational Beliefs and Endogenous Uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 383-397, October.
- Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1999. "Bayesian Representation of Stochastic Processes under Learning: de Finetti Revisited," Econometrica, Econometric Society, vol. 67(4), pages 875-894, July.
- Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1998. "Bayesian Representation of Stochastic Processes under Learning: de Finetti Revisited," Discussion Papers 1228, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Robert J. Aumann, 1998. "Common Priors: A Reply to Gul," Econometrica, Econometric Society, vol. 66(4), pages 929-938, July.
- Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, February.
- J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 92(2), pages 323-336. Full references (including those not matched with items on IDEAS)
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