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Belief aggregation for representative agent models

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  • Alexander Zimper

Abstract

Representative agent models pin down equilibrium asset prices of an underlying heterogeneous agents economy through the utility maximization problem of a representative agent evaluated at aggregate endowment levels. This paper considers a complete markets asset exchange economy in which all economic agents are expected utility maximizers who share the same risk preferences but may have heterogeneous endowments and beliefs. For arbitrary well‐behaved Bernoulli utility functions we derive belief aggregation formulas that characterize the beliefs of an expected utility maximizing representative agent.

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  • Alexander Zimper, 2023. "Belief aggregation for representative agent models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(2), pages 309-342, June.
    • Handle: RePEc:bla:ijethy:v:19:y:2023:i:2:p:309-342
    DOI: 10.1111/ijet.12345
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    1. Adem Atmaz & Suleyman Basak, 2018. "Belief Dispersion in the Stock Market," Journal of Finance, American Finance Association, vol. 73(3), pages 1225-1279, June.
    2. Detemple Jerome & Murthy Shashidhar, 1994. "Intertemporal Asset Pricing with Heterogeneous Beliefs," Journal of Economic Theory, Elsevier, vol. 62(2), pages 294-320, April.
    3. Chiarella, Carl & He, Xue-Zhong, 2002. "Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model," Computational Economics, Springer;Society for Computational Economics, vol. 19(1), pages 95-132, February.
    4. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1149-1174.
    5. Haim Levy, 2006. "Capital Asset Prices with Heterogeneous Beliefs," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1317-1354, May.
    6. Rubinstein, Mark, 1976. "The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets," Journal of Finance, American Finance Association, vol. 31(2), pages 551-571, May.
    7. Markus K. Brunnermeier & Jonathan A. Parker & Christian Gollier, 2007. "Optimal Beliefs, Asset Prices, and the Preference for Skewed Returns," American Economic Review, American Economic Association, vol. 97(2), pages 159-165, May.
    8. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    9. Chabakauri, Georgy, 2015. "Asset pricing with heterogeneous preferences, beliefs, and portfolio constraints," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 21-34.
    10. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    11. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    12. Williams, Joseph T., 1977. "Capital asset prices with heterogeneous beliefs," Journal of Financial Economics, Elsevier, vol. 5(2), pages 219-239, November.
    13. Baker, Steven D. & Hollifield, Burton & Osambela, Emilio, 2016. "Disagreement, speculation, and aggregate investment," Journal of Financial Economics, Elsevier, vol. 119(1), pages 210-225.
    14. Carlin, Bruce I. & Longstaff, Francis A. & Matoba, Kyle, 2014. "Disagreement and asset prices," Journal of Financial Economics, Elsevier, vol. 114(2), pages 226-238.
    15. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    16. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    17. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    18. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    19. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2011. "Do heterogeneous beliefs diversify market risk?," The European Journal of Finance, Taylor & Francis Journals, vol. 17(3), pages 241-258.
    20. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    21. Chabakauri, Georgy, 2015. "Asset pricing with heterogeneous preferences, beliefs, and portfolio constraints," LSE Research Online Documents on Economics 60810, London School of Economics and Political Science, LSE Library.
    22. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September.
    23. repec:dau:papers:123456789/78 is not listed on IDEAS
    24. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April.
    25. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
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    Cited by:

    1. Zimper, Alexander, 2023. "Unrealized arbitrage opportunities in naive equilibria with non-Bayesian belief processes," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 27-41.

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