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Bayesian Networks and Boundedly Rational Expectations

Author

Listed:
  • Ran Spiegler

    (Tel Aviv University, Eitan Berglas School of Economics
    Centre for Macroeconomics (CFM))

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

  • Ran Spiegler, 2014. "Bayesian Networks and Boundedly Rational Expectations," Discussion Papers 1417, Centre for Macroeconomics (CFM).
    • Handle: RePEc:cfm:wpaper:1417
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    References listed on IDEAS

    as
    1. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
    2. David Ettinger & Philippe Jehiel, 2010. "A Theory of Deception," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 1-20, February.
    3. 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.
    4. Erik Eyster & Matthew Rabin, 2005. "Cursed Equilibrium," Econometrica, Econometric Society, vol. 73(5), pages 1623-1672, September.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Heckman, James & Pinto, Rodrigo, 2015. "Causal Analysis After Haavelmo," Econometric Theory, Cambridge University Press, vol. 31(1), pages 115-151, February.
    12. Madarasz, Kristof, 2008. "Information projection: model and applications," MPRA Paper 38612, University Library of Munich, Germany, revised 2011.
    13. Osborne, Martin J & Rubinstein, Ariel, 1998. "Games with Procedurally Rational Players," American Economic Review, American Economic Association, vol. 88(4), pages 834-847, September.
    14. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    15. Michael Woodford, 2013. "Macroeconomic Analysis Without the Rational Expectations Hypothesis," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 303-346, May.
    16. Kristóf Madarász, 2012. "Information Projection: Model and Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 961-985.
    17. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    18. Cho In-Koo, 1995. "Perceptrons Play the Repeated Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 67(1), pages 266-284, October.
    19. 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.
    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. 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.
    22. repec:dau:papers:123456789/5434 is not listed on IDEAS
    23. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-1291, September.
    24. Spiegler, Ran, 2014. "Bounded Rationality and Industrial Organization," OUP Catalogue, Oxford University Press, number 9780199334261.
    25. 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.
    26. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January.
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    JEL classification:

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

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