IDEAS home Printed from https://ideas.repec.org/p/ags/isfiwp/275828.html
   My bibliography  Save this paper

Bayesian Networks and Boundedly Rational Expectations

Author

Listed:
  • Spiegler, Ran

Abstract

I present a framework for analyzing decision makers with an imperfect understanding of their environment’s correlation structure. The decision maker faces an objective multivariate probability distribution (his own action is one of the random variables). He is characterized by a directed acyclic graph over the set of variables. His subjective belief filters the objective distribution through his graph, via the factorization formula for Bayesian networks. This belief distortion implies that the decision maker’s long-run behavior may affect his perception of the consequences of his actions. Accordingly, I define a "personal equilibrium" notion of optimal choices. I show how recent models of boundedly rational expectations (as well as new ones, e.g. reverse causality) can be subsumed into this framework as special cases. Some general properties of the Bayesian-network representation of subjective beliefs are presented, as well as a "missing data" foundation.

Suggested Citation

  • Spiegler, Ran, 2014. "Bayesian Networks and Boundedly Rational Expectations," Foerder Institute for Economic Research Working Papers 275828, Tel-Aviv University > Foerder Institute for Economic Research.
  • Handle: RePEc:ags:isfiwp:275828
    DOI: 10.22004/ag.econ.275828
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/275828/files/14-14.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.275828?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jehiel, Philippe & Samet, Dov, 2005. "Learning to play games in extensive form by valuation," Journal of Economic Theory, Elsevier, vol. 124(2), pages 129-148, October.
    2. Matthew Rabin & Dimitri Vayanos, 2010. "The Gambler's and Hot-Hand Fallacies: Theory and Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 730-778.
    3. Jehiel, Philippe & Koessler, Frédéric, 2008. "Revisiting games of incomplete information with analogy-based expectations," Games and Economic Behavior, Elsevier, vol. 62(2), pages 533-557, March.
    4. Erik Eyster & Matthew Rabin, 2005. "Cursed Equilibrium," Econometrica, Econometric Society, vol. 73(5), pages 1623-1672, September.
    5. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    6. Spiegler, Ran, 2014. "Bounded Rationality and Industrial Organization," OUP Catalogue, Oxford University Press, number 9780199334261.
    7. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
    8. Rubinstein, Ariel, 1993. "On Price Recognition and Computational Complexity in a Monopolistic Model," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 473-484, June.
    9. Spiegler, Ran, 2004. "Simplicity of beliefs and delay tactics in a concession game," Games and Economic Behavior, Elsevier, vol. 47(1), pages 200-220, April.
    10. Kristóf Madarász, 2012. "Information Projection: Model and Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 961-985.
    11. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January.
    12. Eliaz, Kfir, 2003. "Nash equilibrium when players account for the complexity of their forecasts," Games and Economic Behavior, Elsevier, vol. 44(2), pages 286-310, August.
    13. Koller, Daphne & Milch, Brian, 2003. "Multi-agent influence diagrams for representing and solving games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 181-221, October.
    14. Osborne, Martin J & Rubinstein, Ariel, 1998. "Games with Procedurally Rational Players," American Economic Review, American Economic Association, vol. 88(4), pages 834-847, September.
    15. Heckman, James & Pinto, Rodrigo, 2015. "Causal Analysis After Haavelmo," Econometric Theory, Cambridge University Press, vol. 31(1), pages 115-151, February.
    16. Erik Eyster & Michele Piccione, 2013. "An Approach to Asset Pricing Under Incomplete and Diverse Perceptions," Econometrica, Econometric Society, vol. 81(4), pages 1483-1506, July.
    17. Michael Woodford, 2013. "Macroeconomic Analysis Without the Rational Expectations Hypothesis," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 303-346, May.
    18. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    19. Michele Piccione & Ariel Rubinstein, 2003. "Modeling the Economic Interaction of Agents With Diverse Abilities to Recognize Equilibrium Patterns," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 212-223, March.
    20. In-Koo Cho & Noah Williams & Thomas J. Sargent, 2002. "Escaping Nash Inflation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 1-40.
    21. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
    22. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-1291, September.
    23. Cho In-Koo, 1995. "Perceptrons Play the Repeated Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 67(1), pages 266-284, October.
    24. Timothy Van Zandt & Roy Radner, 1998. "Real-Time Decentralized Information Processing and Returns to Scale," Discussion Papers 1233, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    25. Madarasz, Kristof, 2008. "Information projection: model and applications," MPRA Paper 38612, University Library of Munich, Germany, revised 2011.
    26. repec:dau:papers:123456789/5434 is not listed on IDEAS
    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. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    2. Spiegler, Ran, 2021. "Modeling players with random “data access”," Journal of Economic Theory, Elsevier, vol. 198(C).
    3. Ignacio Esponda & Demian Pouzo, 2014. "Berk-Nash Equilibrium: A Framework for Modeling Agents with Misspecified Models," Papers 1411.1152, arXiv.org, revised Nov 2019.
    4. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    5. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R2, Cowles Foundation for Research in Economics, Yale University, revised Oct 2021.
    6. Christoph March, 2011. "Adaptive social learning," Working Papers halshs-00572528, HAL.
    7. Bianchi, Milo & Jehiel, Philippe, 2020. "Bundlers' dilemmas in financial markets with sampling investors," Theoretical Economics, Econometric Society, vol. 15(2), May.
    8. Vikander Nick, 2019. "Sellouts, Beliefs, and Bandwagon Behavior," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-21, January.
    9. Jehiel, Philippe, 2015. "Investment strategy and selection bias: An equilibrium perspective on overconfidence," CEPR Discussion Papers 10868, C.E.P.R. Discussion Papers.
    10. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R3, Cowles Foundation for Research in Economics, Yale University, revised Jun 2022.
    11. Esponda, Ignacio & Pouzo, Demian & Yamamoto, Yuichi, 2021. "Asymptotic behavior of Bayesian learners with misspecified models," Journal of Economic Theory, Elsevier, vol. 195(C).
    12. David Ettinger & Philippe Jehiel, 2021. "An experiment on deception, reputation and trust," Experimental Economics, Springer;Economic Science Association, vol. 24(3), pages 821-853, September.
    13. Hagenbach, Jeanne & Koessler, Frédéric, 2017. "The Streisand effect: Signaling and partial sophistication," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 1-8.
    14. repec:cep:stitep:566 is not listed on IDEAS
    15. Edward Cartwright & Amrish Patel, 2010. "Public Goods, Social Norms, and Naïve Beliefs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(2), pages 199-223, April.
    16. Ran Spiegler, 2006. "The Market for Quacks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1113-1131.
    17. Milo Bianchi & Philippe Jehiel, 2019. "Bundling, Belief Dispersion, and Mispricing in Financial Markets," Working Papers halshs-02183306, HAL.
    18. Liu, Zhen, 2016. "Games with incomplete information when players are partially aware of others’ signals," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 58-70.
    19. David Ettinger & Philippe Jehiel, 2004. "Towards a Theory of Deception," Levine's Bibliography 122247000000000247, UCLA Department of Economics.
    20. Ignacio Esponda & Demian Pouzo, 2015. "Equilibrium in Misspecified Markov Decision Processes," Papers 1502.06901, arXiv.org, revised May 2016.
    21. Andrew Ellis & Michele Piccione, 2017. "Correlation Misperception in Choice," American Economic Review, American Economic Association, vol. 107(4), pages 1264-1292, April.

    More about this item

    Keywords

    Financial Economics; Public Economics;

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

    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:ags:isfiwp:275828. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/fotauil.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.