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Dynamic Noisy Rational Expectations Equilibrium With Insider Information

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  • Jerome Detemple
  • Marcel Rindisbacher
  • Scott Robertson

Abstract

We study equilibria in multi‐asset and multi‐agent continuous‐time economies with asymmetric information and bounded rational noise traders. We establish the existence of two equilibria. First, a full communication equilibrium where the informed agents' signal is disclosed to the market and static policies are optimal. Second, a partial communication equilibrium where the signal disclosed is affine in the informed and noise traders' signals, and dynamic policies are optimal. Here, information asymmetry creates demand for two public funds, as well as a dark pool where private information trades can be implemented. Markets are endogenously complete and equilibrium returns have a three factor structure with stochastic factors and loadings. Results are valid for constant absolute risk averse investors, general vector diffusions for fundamentals, nonlinear terminal payoffs, and non‐Gaussian noise trading. Asset price dynamics and public information flows are endogenous, and rational expectations equilibria are special cases of the general results.

Suggested Citation

  • Jerome Detemple & Marcel Rindisbacher & Scott Robertson, 2020. "Dynamic Noisy Rational Expectations Equilibrium With Insider Information," Econometrica, Econometric Society, vol. 88(6), pages 2697-2737, November.
    • Handle: RePEc:wly:emetrp:v:88:y:2020:i:6:p:2697-2737
    DOI: 10.3982/ECTA17038
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    References listed on IDEAS

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    Cited by:

    1. Luca Bernardinelli & Paolo Guasoni & Eberhard Mayerhofer, 2022. "Informational efficiency and welfare," Mathematics and Financial Economics, Springer, volume 16, number 2, December.
    2. Detemple, Jerome & Rindisbacher, Marcel & Robertson, Scott, 2022. "Dynamic noisy rational expectations equilibrium with insider information: Welfare and regulation," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    3. Jerome Detemple & Scott Robertson, 2022. "Dynamic Equilibrium with Insider Information and General Uninformed Agent Utility," Papers 2211.15573, arXiv.org, revised Mar 2024.
    4. Dai, Shangze & Fan, Fei & Zhang, Keke, 2022. "Creative Destruction and Stock Price Informativeness in Emerging Economies," MPRA Paper 113661, University Library of Munich, Germany.
    5. Fabrice Baudoin & Oleksii Mostovyi, 2024. "The indifference value of the weak information," Papers 2408.02137, arXiv.org.
    6. Li, Tao, 2022. "Comments on “Dynamic noisy rational expectations equilibrium with insider information: Welfare and regulation,” by Jerome Detemple, Marcel Rindisbacher and Scott Robertson," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    7. Scott Robertson, 2023. "Equilibrium with Heterogeneous Information Flows," Papers 2304.01272, arXiv.org, revised Mar 2024.

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