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Heterogeneous beliefs under recursive preferences

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  • Jaroslav Borovicka

    (University of Chicago)

Abstract

We analyze the impact of heterogeneous beliefs in economies where agents have recursive preferences of the Kreps-Porteus type and differ in their subjective beliefs about the distributions of future quantities. We show that the set of Pareto optimal allocations is given as a solution to a planner's problem with Pareto weights evolving according to an Ito process. In a Markov environment, belief heterogeneity can be incorporated without the need for additional state variables. Using a parsimonious economy, we show that agents with distorted beliefs are not driven out of the market for an empirically relevant range of parameters when preferences are nonseparable across time. Return decomposition reveals nonlinearities in contributions of belief heterogeneity across payoff horizons.

Suggested Citation

  • Jaroslav Borovicka, 2009. "Heterogeneous beliefs under recursive preferences," 2009 Meeting Papers 892, Society for Economic Dynamics.
    • Handle: RePEc:red:sed009:892
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    References listed on IDEAS

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    Cited by:

    1. Branger, Nicole & Schlag, Christian & Wu, Lue, 2015. "‘Nobody is perfect’: Asset pricing and long-run survival when heterogeneous investors exhibit different kinds of filtering errors," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 303-333.
    2. Blume, Lawrence E. & Cogley, Timothy & Easley, David A. & Sargent, Thomas J. & Tsyrennikov, Viktor, 2018. "A case for incomplete markets," Journal of Economic Theory, Elsevier, vol. 178(C), pages 191-221.
    3. YiLi Chien & Harold L. Cole & Hanno Lustig, 2014. "Implications of heterogeneity in preferences, beliefs and asset trading technologies for the macroeconomy," Working Papers 2014-14, Federal Reserve Bank of St. Louis.
    4. Yili Chien & Harold Cole & Hanno Lustig, 2016. "Implications of Heterogeneity in Preferences, Beliefs and Asset Trading Technologies in an Endowment Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 215-239, April.
    5. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2018. "Long-run heterogeneity in an exchange economy with fixed-mix traders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 407-447, August.
    6. Backus, David & Coleman, Chase & Ferriere, Axelle & Lyon, Spencer, 2016. "Pareto weights as wedges in two-country models," Journal of Economic Dynamics and Control, Elsevier, vol. 72(C), pages 98-110.
    7. Kasa, Kenneth & Lei, Xiaowen, 2018. "Risk, uncertainty, and the dynamics of inequality," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 60-78.
    8. Riccardo Colacito & Mariano M. Croce, 2012. "International Robust Disagreement," American Economic Review, American Economic Association, vol. 102(3), pages 152-155, May.
    9. Eric Aldrich, 2012. "Trading Volume in General Equilibrium with Complete Markets," 2012 Meeting Papers 36, Society for Economic Dynamics.
    10. Roland Füss & Thomas Gehrig & Philipp B. Rindler, 2016. "Changing Risk Perception and the Time-Varying Price of Risk," Review of Finance, European Finance Association, vol. 20(4), pages 1549-1585.

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