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Ambiguity Aversion and Absence of Trade

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  • Alain Chateauneuf
  • Luciano De Castro

Abstract

What is the effect of ambiguity aversion on trade? Although in a Bewley's model ambiguity aversion always lead to less trade, in other models this is not always true. However, we show that if the endowments are unambiguous then more ambiguity aversion implies less trade, for a very general class of preferences. The reduction in trade caused by ambiguity aversion can be as severe as to lead to no-trade. In an economy with MEU decision makers, we show that if the aggregate endowment is unanimously unambiguous then every Pareto optima allocation is also unambiguous. We also characterize the situation in which every unanimously unambiguous allocation is Pareto optimal. Finally, we show how our results can be used to explain the home-bias effect. As a useful result for our methods, we also obtain an additivity theorem for CEU and MEU decision makers that does not require comonotonicity JEL Code: D51, D6, D8

Suggested Citation

  • Alain Chateauneuf & Luciano De Castro, 2011. "Ambiguity Aversion and Absence of Trade," Discussion Papers 1535, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1535
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    3. Jan Werner, 2021. "Participation in risk sharing under ambiguity," Theory and Decision, Springer, vol. 90(3), pages 507-519, May.
    4. Zhiwei Liu, 2014. "A note on the welfare of the maximin rational expectations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 213-218, October.
    5. Patrick Beissner, 2017. "Equilibrium prices and trade under ambiguous volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 213-238, August.
    6. Maria Näther, 2019. "The effect of the central bank’s standing facilities on interbank lending and bank liquidity holding," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(3), pages 537-577, October.
    7. Tamini, Lota D., 2012. "Optimal quality choice under uncertainty on market development," MPRA Paper 40845, University Library of Munich, Germany.
    8. Tatjana Chudjakow & Frank Riedel, 2013. "The best choice problem under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 77-97, September.
    9. Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 131-151, September.
    10. Yehuda Izhakian & Zur Izhakian, 2015. "Decision making in phantom spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 59-98, January.
    11. Christian Gollier, 2014. "Optimal insurance design of ambiguous risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 555-576, November.
    12. M. Peiris & Alexandros Vardoulakis, 2013. "Savings and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 153-180, September.
    13. Zhang, Yu, 2022. "Subjective beliefs and ambiguity aversion," Economics Letters, Elsevier, vol. 212(C).
    14. Tamini, Lota Dabio, 2012. "Optimal quality choice under uncertainty on market development," Working Papers 148589, Structure and Performance of Agriculture and Agri-products Industry (SPAA).
    15. Patrick Beissner & Frank Riedel, 2018. "Non-implementability of Arrow–Debreu equilibria by continuous trading under volatility uncertainty," Finance and Stochastics, Springer, vol. 22(3), pages 603-620, July.
    16. De Castro, Luciano & Yannelis, Nicholas C., 2018. "Uncertainty, efficiency and incentive compatibility: Ambiguity solves the conflict between efficiency and incentive compatibility," Journal of Economic Theory, Elsevier, vol. 177(C), pages 678-707.
    17. Shiri Alon & Aviad Heifetz, 2014. "The logic of Knightian games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 161-182, October.
    18. Eisei Ohtaki, 2020. "Optimality in an OLG model with nonsmooth preferences," Working Papers e145, Tokyo Center for Economic Research.
    19. Beißner, Patrick, 2016. "Radner Equilibria under Ambiguous Volatility," Center for Mathematical Economics Working Papers 493, Center for Mathematical Economics, Bielefeld University.
    20. José Faro, 2013. "Cobb-Douglas preferences under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 273-285, October.
    21. Angelos Angelopoulos & Leonidas Koutsougeras, 2015. "Value allocation under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 147-167, May.
    22. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    23. ter Ellen, Saskia & Verschoor, Willem F.C. & Zwinkels, Remco C.J., 2019. "Agreeing on disagreement: Heterogeneity or uncertainty?," Journal of Financial Markets, Elsevier, vol. 44(C), pages 17-30.

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    More about this item

    Keywords

    no-trade results; ambiguity aversion; Pareto optimality.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D6 - Microeconomics - - Welfare Economics
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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