IDEAS home Printed from https://ideas.repec.org/p/pen/papers/12-036.html
   My bibliography  Save this paper

Generalized Partition and Subjective Filtration

Author

Listed:
  • David Dillenberger

    (Department of Economics, University of Pennsylvania)

  • Philipp Sadowski

    (Department of Economics, Duke University)

Abstract

We study an individual who faces a dynamic decision problem in which the process of information arrival is unobserved by the analyst, and hence should be identified from observed choice data. An information structure is objectively describable if signals correspond to events of the objective state space. We derive a representation of preferences over menus of acts that captures the behavior of a Bayesian decision maker who expects to receive such signals. The class of information structures that can support such a representation generalizes the notion of a partition of the state space. The representation allows us to compare individuals in terms of the preciseness of their information structures without requiring that they share the same prior beliefs. We apply the model to study an individual who anticipates gradual resolution of uncertainty over time. Both the filtration (the timing of information arrival with the sequence of partitions it induces) and prior beliefs are uniquely identified.

Suggested Citation

  • David Dillenberger & Philipp Sadowski, 2012. "Generalized Partition and Subjective Filtration," PIER Working Paper Archive 12-036, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    • Handle: RePEc:pen:papers:12-036
    as

    Download full text from publisher

    File URL: https://economics.sas.upenn.edu/sites/default/files/filevault/12-036.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Riella, Gil, 2013. "Preference for Flexibility and Dynamic Consistency," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2467-2482.
    2. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 2009. "Temptation-Driven Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 937-971.
    3. Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2009. "Is It Always Rational To Satisfy Savage'S Axioms?," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 285-296, November.
    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. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324.
    6. Hyogo, Kazuya, 2007. "A subjective model of experimentation," Journal of Economic Theory, Elsevier, vol. 133(1), pages 316-330, March.
    7. David Dillenberger & Philipp Sadowski & Juan Sebastian Lleras & Norio Takeoka, 2012. "A Theory of Subjective Learning," PIER Working Paper Archive 12-034, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. David Dillenberger & Juan Sebastian Lleras & Philipp Sadowski & Norio Takeoka, 2012. "A Theory of Subjective Learning," Working Papers 12-17, Duke University, Department of Economics.
    9. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    10. David Dillenberger & Juan Sebastian Lleras & Philipp Sadowski & Norio Takeoka, 2012. "A Theory of Subjective Learning," Levine's Working Paper Archive 786969000000000583, David K. Levine.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. David Dillenberger & Philipp Sadowski, 2012. "Generalized Partition and Subjective Filtration," Levine's Working Paper Archive 786969000000000591, David K. Levine.
    2. David Dillenberger & Philipp Sadowski, 2011. "Subjective Learning, Second Version," PIER Working Paper Archive 12-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 07 Mar 2012.
    3. David Dillenberger & Philipp Sadowski, 2011. "Models of Subjective Learning," PIER Working Paper Archive 11-042, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Youichiro Higashi & Kazuya Hyogo & Gil Riella, 2020. "Dynamically Consistent Menu Preferences," KIER Working Papers 1047, Kyoto University, Institute of Economic Research.
    5. Cooke, Kevin, 2017. "Preference discovery and experimentation," Theoretical Economics, Econometric Society, vol. 12(3), September.
    6. André Lapied & Thomas Rongiconi, 2013. "Ambiguity as a Source of Temptation: Modeling Unstable Beliefs," Working Papers halshs-00797631, HAL.
    7. Lefgren, Lars J. & Stoddard, Olga B. & Stovall, John E., 2021. "Rationalizing self-defeating behaviors: Theory and evidence," Journal of Health Economics, Elsevier, vol. 76(C).
    8. Riella, Gil, 2013. "Preference for Flexibility and Dynamic Consistency," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2467-2482.
    9. Daniele Pennesi, 2020. "Identity and information acquisition," Carlo Alberto Notebooks 610, Collegio Carlo Alberto, revised 2021.
    10. Daniele Pennesi, 2021. "Between Commitment and Flexibility: Revealing Anticipated Regret and Elation," Working papers 071, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    11. Gorno, Leandro, 2016. "Additive representation for preferences over menus in finite choice settings," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 41-47.
    12. David Dillenberger & Philipp Sadowski & Juan Sebastian Lleras & Norio Takeoka, 2012. "A Theory of Subjective Learning," PIER Working Paper Archive 12-034, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    13. Nobuo Koida, 2018. "Anticipated stochastic choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 545-574, May.
    14. Minardi, Stefania & Savochkin, Andrei, 2019. "Subjective contingencies and limited Bayesian updating," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1-45.
    15. David Dillenberger & Juan Sebastian Lleras & Philipp Sadowski & Norio Takeoka, 2012. "A Theory of Subjective Learning, Third Version," PIER Working Paper Archive 13-067, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Sep 2013.
    16. Leandro Gorno, 2010. "Additive representation for preferences over menus in finite choice settings," Working Papers 1292, Princeton University, Department of Economics, Econometric Research Program..
    17. Eric Danan & Ani Guerdjikova & Alexander Zimper, 2012. "Indecisiveness aversion and preference for commitment," Theory and Decision, Springer, vol. 72(1), pages 1-13, January.
    18. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    19. Ortoleva, Pietro, 2013. "The price of flexibility: Towards a theory of Thinking Aversion," Journal of Economic Theory, Elsevier, vol. 148(3), pages 903-934.
    20. 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.

    More about this item

    Keywords

    Resolution of uncertainty; valuing binary bets more; generalized partition; subjective filtration;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pen:papers:12-036. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Administrator (email available below). General contact details of provider: https://edirc.repec.org/data/deupaus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.