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Optimal Learning with Endogenous Data

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  • Easley, David
  • Kiefer, Nicholas M

Abstract

This paper is concerned with the need for, and the implications of, $-optimality in learning problems. The authors consider a control problem in which a Bayesian decisionmaker faces a trade-off between expected current reward and accumulation of information. An example showing the need for the notion of $-optimality and the possibility of discontinuous transition functions is given. It is shown that there is always an $-optimal policy that allows the decisionmaker to learn any identified parameters, but that there are other $-optimal policies with very different limit behavior. Copyright 1989 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Easley, David & Kiefer, Nicholas M, 1989. "Optimal Learning with Endogenous Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 963-978, November.
    • Handle: RePEc:ier:iecrev:v:30:y:1989:i:4:p:963-78
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    Cited by:

    1. Leonard J. Mirman & Kevin Reffett & Marc Santugini, 2016. "On learning and growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 641-684, April.
    2. Kelly, David L. & Shorish, Jamsheed, 2000. "Stability of Functional Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 95(2), pages 215-250, December.
    3. Jiarui Han & Tze Lai & Viktor Spivakovsky, 2006. "Approximate Policy Optimization and Adaptive Control in Regression Models," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 433-452, June.
    4. Koulovatianos, Christos & Mirman, Leonard J. & Santugini, Marc, 2009. "Optimal growth and uncertainty: Learning," Journal of Economic Theory, Elsevier, vol. 144(1), pages 280-295, January.
    5. Alexandre X. Carvalho & Martin L. Puterman, 2005. "Dynamic Optimization and Learning: How Should a Manager set Prices when the Demand Function is Unknown ?," Discussion Papers 1117, Instituto de Pesquisa Econômica Aplicada - IPEA.
    6. Christos Koulovatianos & Leonard J. Mirman & Marc Santugini, 2006. "Investment in a Monopoly with Bayesian Learning," Vienna Economics Papers vie0603, University of Vienna, Department of Economics.
    7. Alexandre X. Carvalho & Martin L. Puterman, 2015. "Dynamic Optimization and Learning: How Should a Manager Set Prices When the Demand Function is Unknown?," Discussion Papers 0158, Instituto de Pesquisa Econômica Aplicada - IPEA.
    8. Eric Cope, 2007. "Bayesian strategies for dynamic pricing in e‐commerce," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(3), pages 265-281, April.
    9. Christos Koulovatianos & Leonard J. Mirman & Marc Santugini, 2006. "Investment in a Monopoly with Bayesian Learning," Vienna Economics Papers 0603, University of Vienna, Department of Economics.

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