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  • Roee Teper
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    We introduce a decision theoretic foundation for a class of learning models in which thedecision maker's beliefs over the present uncertainty is dictated by the outcomes of herpast actions. This type of learning underlies models of strategic experimentation. Weconstruct a framework in which an alternative is a recursive function contingent at anystage on the outcomes of previous actions, and provide axiomatizations for subjectivediscounted expected utility maximization, both for independent actions and correlatedactions. We point out that models of strategic experimentation have inherent limitedobservability, which in turn leads to partial identification of the subjective belief structure. We show that a class of processes we refer to as strongly exchangeable are the fullcharacterization of Bayesianism in such environments.

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    File URL: http://www.econ.pitt.edu/sites/default/files/working_papers/WP16-005_0.pdf
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    Paper provided by Department of Economics, University of Pittsburgh in its series Working Paper with number 5859.

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    Date of creation: Jan 2016
    Handle: RePEc:pit:wpaper:5859
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    1. Cooke, Kevin, 2017. "Preference discovery and experimentation," Theoretical Economics, Econometric Society, vol. 12(3), September.
    2. Epstein, Larry G. & Seo, Kyoungwon, 2010. "Symmetry of evidence without evidence of symmetry," Theoretical Economics, Econometric Society, vol. 5(3), September.
    3. Piermont, Evan & Takeoka, Norio & Teper, Roee, 2016. "Learning the Krepsian state: Exploration through consumption," Games and Economic Behavior, Elsevier, vol. 100(C), pages 69-94.
    4. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    5. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    6. R. Vijay Krishna & Philipp Sadowski, 2014. "Dynamic Preference for Flexibility," Econometrica, Econometric Society, vol. 82(2), pages 655-703, March.
    7. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    8. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
    9. Dillenberger, David & Lleras, Juan Sebastián & Sadowski, Philipp & Takeoka, Norio, 2014. "A theory of subjective learning," Journal of Economic Theory, Elsevier, vol. 153(C), pages 287-312.
    10. Hyogo, Kazuya, 2007. "A subjective model of experimentation," Journal of Economic Theory, Elsevier, vol. 133(1), pages 316-330, March.
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