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A Class of Incomplete and Ambiguity Averse Preferences

Author

Listed:
  • Leandro Nascimento
  • Gil Riella

Abstract

This paper characterizes ambiguity averse preferences in the absence of the completeness axiom. We axiomatize multiple selves versions of some of the most important examples of complete and ambiguity averse preferences, and characterize when those incomplete preferences are ambiguity averse.

Suggested Citation

  • Leandro Nascimento & Gil Riella, 2008. "A Class of Incomplete and Ambiguity Averse Preferences," Working Papers Series 180, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:180
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    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps180.pdf
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    Cited by:

    1. Bardier, Pierre & Dong-Xuan, Bach & Nguyen, Van-Quy, 2025. "Hoping for the best while preparing for the worst in the face of uncertainty: a new type of incomplete preferences," Center for Mathematical Economics Working Papers 701, Center for Mathematical Economics, Bielefeld University.
    2. Pierre Bardier & Bach Dong-Xuan & Van-Quy Nguyen, 2024. "Hoping for the best while preparing for the worst in the face of uncertainty: a new type of incomplete preferences," Papers 2406.11166, arXiv.org, revised Jul 2025.
    3. Dana, Rose-Anne & Riedel, Frank, 2013. "Intertemporal equilibria with Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1582-1605.
    4. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2019. "Boolean Representations of Preferences under Ambiguity," Cowles Foundation Discussion Papers 2180R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2019.
    5. Kensei Nakamura & Shohei Yanagita, 2025. "Preferences with Multiple Forecasts," Papers 2504.04368, arXiv.org.
    6. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2020. "Objective rationality foundations for (dynamic) alpha-MEU," Cowles Foundation Discussion Papers 2244, Cowles Foundation for Research in Economics, Yale University.
    7. Madhav Chandrasekher & Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2022. "Dual‐Self Representations of Ambiguity Preferences," Econometrica, Econometric Society, vol. 90(3), pages 1029-1061, May.
    8. Frick, Mira & Iijima, Ryota & Le Yaouanq, Yves, 2022. "Objective rationality foundations for (dynamic) α-MEU," Journal of Economic Theory, Elsevier, vol. 200(C).
    9. Eric Danan, 2010. "Randomization vs. Selection: How to Choose in the Absence of Preference?," Management Science, INFORMS, vol. 56(3), pages 503-518, March.
    10. Echenique, Federico & Miyashita, Masaki & Nakamura, Yuta & Pomatto, Luciano & Vinson, Jamie, 2022. "Twofold multiprior preferences and failures of contingent reasoning," Journal of Economic Theory, Elsevier, vol. 202(C).
    11. repec:dau:papers:123456789/5375 is not listed on IDEAS
    12. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2019. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2180, Cowles Foundation for Research in Economics, Yale University.
    13. Faro, José Heleno, 2015. "Variational Bewley preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 699-729.
    14. Kensei Nakamura & Shohei Yanagita, 2025. "Partially rational preferences under ambiguity," Papers 2509.11660, arXiv.org.
    15. Faro, José Heleno, 2011. "Variational Bewley Preferences," Insper Working Papers wpe_258, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    16. ,, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
    17. Pierre Bardier & Bach Dong-Xuan & Van-Quy Nguyen, 2025. "Hoping for the best while preparing for the worst in the face of uncertainty: a new type of incomplete preferences," PSE Working Papers halshs-04615290, HAL.

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