IDEAS home Printed from https://ideas.repec.org/p/cdl/ucsdec/qt1g6889mk.html
   My bibliography  Save this paper

Bayesian general equilibrium

Author

Listed:
  • Toda, Alexis Akira

Abstract

I introduce a general equilibrium model of non-optimizing agents that respond to aggregate variables (prices and the average demand profile of agent types) by putting a “prior” on their demand. An interim equilibrium is defined by the posterior demand distribution of agent types conditional on market clearing. A Bayesian general equilibrium (BGE) is an interim equilibrium such that aggregate variables are correctly anticipated. Under weak conditions, I prove the existence and the informational efficiency of BGE. I discuss the conditions under which the set of Bayesian and Walrasian equilibria coincide and show that the Walrasian equilibrium arises from a large class of non-optimizing behavior.

Suggested Citation

  • Toda, Alexis Akira, 2015. "Bayesian general equilibrium," University of California at San Diego, Economics Working Paper Series qt1g6889mk, Department of Economics, UC San Diego.
  • Handle: RePEc:cdl:ucsdec:qt1g6889mk
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/1g6889mk.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Krebs, Tom, 1997. "Statistical Equilibrium in One-Step Forward Looking Economic Models," Journal of Economic Theory, Elsevier, vol. 73(2), pages 365-394, April.
    2. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    3. Antonio Cabrales & Olivier Gossner & Roberto Serrano, 2013. "Entropy and the Value of Information for Investors," American Economic Review, American Economic Association, vol. 103(1), pages 360-377, February.
    4. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    5. Herings, P.J.J., 1995. "Static and dynamic aspects of general disequilibrium theory," Other publications TiSEM 489c698d-c257-47a3-90bd-3, Tilburg University, School of Economics and Management.
    6. J. J. McCall, 1970. "Economics of Information and Job Search," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(1), pages 113-126.
    7. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    8. Laura L. Veldkamp, 2011. "Information Choice in Macroeconomics and Finance," Economics Books, Princeton University Press, edition 1, number 9621.
    9. Chakrabarti, Subir K., 2014. "On the robustness of the competitive equilibrium: Utility-improvements and equilibrium points," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 36-47.
    10. Robert Becker & Subir Chakrabarti, 2005. "Satisficing behavior, Brouwer’s Fixed Point Theorem and Nash Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 63-83, July.
    11. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    12. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    13. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    14. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    15. Alexis Toda, 2010. "Existence of a statistical equilibrium for an economy with endogenous offer sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 379-415, December.
    16. Duncan K. Foley, 1996. "Statistical Equilibrium In A Simple Labor Market," Metroeconomica, Wiley Blackwell, vol. 47(2), pages 125-147, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tanaka, Ken'ichiro & Toda, Alexis Akira, 2015. "Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis," University of California at San Diego, Economics Working Paper Series qt2tc0m67t, Department of Economics, UC San Diego.
    2. Jangho Yang, 2018. "Information Theoretic Approaches In Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 940-960, July.
    3. Jangho Yang, 2023. "Information‐theoretic model of induced technical change: Theory and empirics," Metroeconomica, Wiley Blackwell, vol. 74(1), pages 2-39, February.

    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. Roy Allen & John Rehbeck, 2021. "A Generalization of Quantal Response Equilibrium via Perturbed Utility," Games, MDPI, vol. 12(1), pages 1-16, March.
    2. Jangho Yang, 2018. "Information Theoretic Approaches In Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 940-960, July.
    3. Ellis Scharfenaker, Duncan K. Foley, 2023. "The Neutrality of Money Reconsidered: A Statistical Equilibrium Model of the Labor Market," Working Paper Series, Department of Economics, University of Utah 2023_02, University of Utah, Department of Economics.
    4. Jangho Yang, 2023. "Information‐theoretic model of induced technical change: Theory and empirics," Metroeconomica, Wiley Blackwell, vol. 74(1), pages 2-39, February.
    5. Kyungmin Kim & Benjamin Lester & Braz Camargo, 2012. "Subsidizing Price Discovery," 2012 Meeting Papers 338, Society for Economic Dynamics.
    6. Scharfenaker, Ellis, 2020. "Implications of quantal response statistical equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).
    7. Bartosz Maćkowiak & Filip Matějka & Mirko Wiederholt, 2023. "Rational Inattention: A Review," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 226-273, March.
    8. Ellis Scharfenaker, 2022. "Statistical Equilibrium Methods In Analytical Political Economy," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 276-309, April.
    9. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, December.
    10. Luo, Yulei & Young, Eric, 2013. "Rational Inattention in Macroeconomics: A Survey," MPRA Paper 54267, University Library of Munich, Germany.
    11. Liang, Pinghan & Guo, Shiqi, 2015. "Social interaction, Internet access and stock market participation—An empirical study in China," Journal of Comparative Economics, Elsevier, vol. 43(4), pages 883-901.
    12. Chiarella Carl & Di Guilmi Corrado, 2015. "The limit distribution of evolving strategies in financial markets," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(2), pages 137-159, April.
    13. Eric Smith & Duncan Foley & Benjamin Good, 2013. "Unhedgeable shocks and statistical economic equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 187-235, January.
    14. Xavier Gabaix, 2017. "Behavioral Inattention," NBER Working Papers 24096, National Bureau of Economic Research, Inc.
    15. Ellis Scharfenaker, Duncan K. Foley, 2021. "Unfulfilled Expectations and Labor Market Interactions: A Statistical Equilibrium Theory of Unemployment," Working Paper Series, Department of Economics, University of Utah 2021_03, University of Utah, Department of Economics.
    16. Park, Hyeon & Feigenbaum, James, 2018. "Bounded rationality, lifecycle consumption, and Social Security," Journal of Economic Behavior & Organization, Elsevier, vol. 146(C), pages 65-105.
    17. Chollete, Lorán & Jaffee, Dwight & Mamun, Khawaja A., 2022. "Policy suggestions from a simple framework with extreme outcomes," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 374-398.
    18. Sylvain Barde, 2012. "Back to the future: economic rationality and maximum entropy prediction," Studies in Economics 1202, School of Economics, University of Kent.
    19. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
    20. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.

    More about this item

    Keywords

    Neurosciences; Bayes rule; Distribution; Kullback-Leibler information; Maximum entropy; Economic Theory; Applied Economics; Econometrics;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D3 - Microeconomics - - Distribution
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:cdl:ucsdec:qt1g6889mk. 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: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/deucsus.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.