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Multidimensional Ellsberg

Author

Listed:
  • Kfir Eliaz

    (Department of Economics, Tel Aviv University, Tel Aviv 6997801, Israel; and Department of Economics, University of Michigan, Ann Arbor, Michigan 48109)

  • Pietro Ortoleva

    (Department of Economics, Columbia University, New York, New York 10027)

Abstract

The classical Ellsberg experiment presents individuals with a choice problem in which the probability of winning a prize is unknown (uncertain). In this paper, we study how individuals make choices between gambles in which the uncertainty is in different dimensions: the winning probability, the amount of the prize, the payment date, and the combinations thereof. Although the decision-theoretic models accommodate a rich variety of behaviors, we present experimental evidence that points at systematic behavioral patterns: (i) no uncertainty is preferred to uncertainty on any single dimension and to uncertainty on multiple dimensions, and (ii) “correlated” uncertainty on multiple dimensions is preferred to uncertainty on any single dimension.Data, as supplemental material, are available at http://dx.doi.org/10.1287/mnsc.2015.2240 . This paper was accepted by Uri Gneezy, behavioral economics .

Suggested Citation

  • Kfir Eliaz & Pietro Ortoleva, 2016. "Multidimensional Ellsberg," Management Science, INFORMS, vol. 62(8), pages 2179-2197, August.
  • Handle: RePEc:inm:ormnsc:v:62:y:2016:i:8:p:2179-2197
    DOI: 10.1287/mnsc.2015.2240
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    References listed on IDEAS

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    1. Aurélien Baillon & Yoram Halevy & Chen Li, 2022. "Experimental elicitation of ambiguity attitude using the random incentive system," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1002-1023, June.
    2. Aurelien Baillon & Olivier L'Haridon & Laetitia Placido, 2011. "Ambiguity Models and the Machina Paradoxes," American Economic Review, American Economic Association, vol. 101(4), pages 1547-1560, June.
    3. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    5. John Horton & David Rand & Richard Zeckhauser, 2011. "The online laboratory: conducting experiments in a real labor market," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 399-425, September.
    6. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
    7. repec:cup:judgdm:v:7:y:2012:i:4:p:383-389 is not listed on IDEAS
    8. David Dillenberger & Uzi Segal, 2015. "Recursive Ambiguity And Machina'S Examples," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(1), pages 55-61, February.
    9. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    10. repec:cup:judgdm:v:5:y:2010:i:5:p:411-419 is not listed on IDEAS
    11. Mark J. Machina, 2014. "Ambiguity Aversion with Three or More Outcomes," American Economic Review, American Economic Association, vol. 104(12), pages 3814-3840, December.
    12. Ho, Joanna L Y & Keller, L Robin & Keltyka, Pamela, 2002. "Effects of Outcome and Probabilistic Ambiguity on Managerial Choices," Journal of Risk and Uncertainty, Springer, vol. 24(1), pages 47-74, January.
    13. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    14. Mark J. Machina, 2009. "Risk, Ambiguity, and the Rank-Dependence Axioms," American Economic Review, American Economic Association, vol. 99(1), pages 385-392, March.
    15. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    16. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    17. Epstein, Larry G. & Halevy, Yoram, 2014. "No Two Experiments are Identical," Microeconomics.ca working papers yoram_halevy-2014-9, Vancouver School of Economics, revised 15 Feb 2017.
    18. David Dillenberger & Uzi Segal, 2012. "Recursive Ambiguity and Machina’s Examples," PIER Working Paper Archive 12-021, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    19. Berinsky, Adam J. & Huber, Gregory A. & Lenz, Gabriel S., 2012. "Evaluating Online Labor Markets for Experimental Research: Amazon.com's Mechanical Turk," Political Analysis, Cambridge University Press, vol. 20(3), pages 351-368, July.
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    Cited by:

    1. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    2. Baillon, Aurélien & Bleichrodt, Han & Li, Chen & Wakker, Peter P., 2021. "Belief hedges: Measuring ambiguity for all events and all models," Journal of Economic Theory, Elsevier, vol. 198(C).
    3. Divya Aggarwal & Pitabas Mohanty, 2022. "Influence of imprecise information on risk and ambiguity preferences: Experimental evidence," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(4), pages 1025-1038, June.

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