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A theory of subjective learning

Author

Listed:
  • Dillenberger, David
  • Lleras, Juan Sebastián
  • Sadowski, Philipp
  • Takeoka, Norio

Abstract

We study an individual who faces a dynamic decision problem in which the process of information arrival is unobserved by the analyst. We elicit subjective information directly from choice behavior by deriving two utility representations of preferences over menus of acts. One representation uniquely identifies information as a probability measure over posteriors and the other identifies information as a partition of the state space. We compare individuals who expect to learn differently in terms of their preference for flexibility. On the extended domain of dated-menus, we show how to accommodate gradual learning over time by means of a subjective filtration.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jetheo:v:153:y:2014:i:c:p:287-312
    DOI: 10.1016/j.jet.2014.07.003
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    References listed on IDEAS

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    1. Eddie Dekel & Barton L Lipman & Aldo Rustichini & Todd Sarver, 2007. "Representing Preferences with a Unique Subjective State Space: A Corrigendum -super-1," Econometrica, Econometric Society, vol. 75(2), pages 591-600, March.
    2. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    3. Higashi, Youichiro & Hyogo, Kazuya & Takeoka, Norio, 2009. "Subjective random discounting and intertemporal choice," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1015-1053, May.
    4. R. Vijay Krishna & Philipp Sadowski, 2014. "Dynamic Preference for Flexibility," Econometrica, Econometric Society, vol. 82(2), pages 655-703, March.
    5. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    6. Hyogo, Kazuya, 2007. "A subjective model of experimentation," Journal of Economic Theory, Elsevier, vol. 133(1), pages 316-330, March.
    7. Takeoka, Norio, 2007. "Subjective probability over a subjective decision tree," Journal of Economic Theory, Elsevier, vol. 136(1), pages 536-571, September.
    8. 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.
    9. Haluk Ergin & Todd Sarver, 2010. "A Unique Costly Contemplation Representation," Econometrica, Econometric Society, vol. 78(4), pages 1285-1339, July.
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    Citations

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    Cited by:

    1. Youichiro Higashi & Kazuya Hyogo & Norio Takeoka & Hiroyuki Tanaka, 2017. "Comparative impatience under random discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 621-651, March.
    2. de Oliveira, Henrique & Denti, Tommaso & Mihm, Maximilian & Ozbek, Kemal, 2017. "Rationally inattentive preferences and hidden information costs," Theoretical Economics, Econometric Society, vol. 12(2), May.
    3. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    4. Mira Frick & Ryota Iijima & Tomasz Strzalecki, 2017. "Dynamic Random Utility," Cowles Foundation Discussion Papers 2092R, Cowles Foundation for Research in Economics, Yale University, revised Nov 2018.
    5. Pennesi, Daniele, 2015. "Costly information acquisition and the temporal resolution of uncertainty," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 115-122.
    6. repec:eee:gamebe:v:106:y:2017:i:c:p:134-152 is not listed on IDEAS
    7. Drapeau, Samuel & Jamneshan, Asgar, 2016. "Conditional preference orders and their numerical representations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 106-118.
    8. Roee Teper, 2016. "Plans of Action," Working Paper 5859, Department of Economics, University of Pittsburgh.
    9. Ellis, Andrew, 2018. "Foundations for optimal inattention," Journal of Economic Theory, Elsevier, vol. 173(C), pages 56-94.
    10. 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.
    11. Yosuke Hashidate, 2018. "Preferences for Randomization and Anticipated Utility," CIRJE F-Series CIRJE-F-1083, CIRJE, Faculty of Economics, University of Tokyo.
    12. repec:spr:joecth:v:66:y:2018:i:2:d:10.1007_s00199-017-1064-x is not listed on IDEAS
    13. Roee Teper, 2016. "Learning the Krepsian State: Exploration Through Consumption," Working Paper 5860, Department of Economics, University of Pittsburgh.

    More about this item

    Keywords

    Subjective learning; Partitional learning; Preference for flexibility; Valuing insurance acts; Subjective filtration; Dated-menus;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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