Polarization and Ambiguity
We offer a theory of polarization as an optimal response to ambiguity. Suppose individual A's beliefs first-order stochastically dominate individual B's. They observe a common signal. They exhibit polarization if A's posterior dominates her prior and B's prior dominates her posterior. Given agreement on conditional signal likelihoods, we show that polarization is impossible under Bayesian updating or after observing extreme signals. However, we also show that polarization can arise after intermediate signals as ambiguity averse individuals implement their optimal prediction strategies. We explore when this polarization will occur and the logic underlying it.
|Date of creation:||10 Jan 2013|
|Date of revision:|
|Contact details of provider:|| Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014|
Web page: http://www.kellogg.northwestern.edu/research/math/
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- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometric Society, vol. 57(3), pages 571-87, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2009.
"Fragility of Asymptotic Agreement under Bayesian Learning,"
Levine's Working Paper Archive
814577000000000139, David K. Levine.
- Yildiz, Muhamet & Acemoglu, Daron & Chernozhukov, Victor, 2016. "Fragility of asymptotic agreement under Bayesian learning," Theoretical Economics, Econometric Society, vol. 11(1), January.
- Alexander Zimper & Alexander Ludwig, 2009.
"On attitude polarization under Bayesian learning with non-additive beliefs,"
Journal of Risk and Uncertainty,
Springer, vol. 39(2), pages 181-212, October.
- Alexander Zimper & Alexander Ludwig, 2008. "On attitude polarization under Bayesian learning with non-additive beliefs," Working Papers 104, Economic Research Southern Africa.
- W. Pesendorfer & F. Gul, 1999.
"Temptation and Self-Control,"
Princeton Economic Theory Papers
99f1, Economics Department, Princeton University.
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