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Higher-Order Beliefs and (Mis)learning from Prices

Author

Listed:
  • Kevin He

    (University of Pennsylvania)

  • Jonathan Libgober

    (University of Southern California)

Abstract

We study misperceptions of private-signal correlation in an incomplete-information Cournot duopoly game. Exaggerating the correlation between players’ demand signals is beneficial when agents hold flexible beliefs about price elasticity, but harmful when their beliefs are dogmatically correct. For agents with flexible beliefs who learn elasticity by observing prices, correlation misperceptions indirectly distort behavior through elasticity misinference. If agents know the true elasticity, this learning channel is eliminated. Correlation misperceptions have opposite direct and indirect effects on behavior, so the presence of elasticity inference can reverse an error’s viability.

Suggested Citation

  • Kevin He & Jonathan Libgober, 2025. "Higher-Order Beliefs and (Mis)learning from Prices," PIER Working Paper Archive 25-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  • Handle: RePEc:pen:papers:25-018
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    References listed on IDEAS

    as
    1. Ignacio Esponda & Demian Pouzo, 2016. "Berk–Nash Equilibrium: A Framework for Modeling Agents With Misspecified Models," Econometrica, Econometric Society, vol. 84, pages 1093-1130, May.
    2. Kevin He & Jonathan Libgober, 2025. "Misspecified learning and evolutionary stability," Papers 2509.16067, arXiv.org.
    3. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    4. Fudenberg, Drew & Lanzani, Giacomo, 2023. "Which misspecifications persist?," Theoretical Economics, Econometric Society, vol. 18(3), July.
    5. Tristan Gagnon-Bartsch & Marco Pagnozzi & Antonio Rosato, 2021. "Projection of Private Values in Auctions," American Economic Review, American Economic Association, vol. 111(10), pages 3256-3298, October.
    6. Mira Frick & Ryota Iijima & Yuhta Ishii, 2024. "Welfare Comparisons for Biased Learning," American Economic Review, American Economic Association, vol. 114(6), pages 1612-1649, June.
    7. Heifetz, Aviad & Shannon, Chris & Spiegel, Yossi, 2007. "What to maximize if you must," Journal of Economic Theory, Elsevier, vol. 133(1), pages 31-57, March.
    8. repec:cwl:cwldpp:1821rrr is not listed on IDEAS
    9. Paul Heidhues & Botond Kőszegi & Philipp Strack, 2018. "Unrealistic Expectations and Misguided Learning," Econometrica, Econometric Society, vol. 86(4), pages 1159-1214, July.
    10. Masaki Miyashita & Takashi Ui, 2023. "LQG Information Design," Papers 2312.09479, arXiv.org, revised Aug 2025.
    11. Chaim Fershtman & Kenneth L. Judd, 2006. "Equilibrium Incentives in Oligopoly: Corrigendum," American Economic Review, American Economic Association, vol. 96(4), pages 1367-1367, September.
    12. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    13. Karsten T. Hansen & Kanishka Misra & Mallesh M. Pai, 2021. "Frontiers: Algorithmic Collusion: Supra-competitive Prices via," Marketing Science, INFORMS, vol. 40(1), pages 1-12, January.
    14. Tristan Gagnon-Bartsch & Antonio Rosato, 2024. "Quality Is in the Eye of the Beholder: Taste Projection in Markets with Observational Learning," American Economic Review, American Economic Association, vol. 114(11), pages 3746-3787, November.
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