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Observability and “Second-Order Acts"

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  • Nabil I. Al-Najjar
  • Luciano De Castro

Abstract

This note questions the behavioral content of second-order acts and their use in decision theoretic models. We show that there can be no verification mechanism to determine what the decision maker receives under a second-order act. This impossibility applies even in idealized repeated experiments where infinite data can be observed. JEL Classification Numbers:

Suggested Citation

  • Nabil I. Al-Najjar & Luciano De Castro, 2010. "Observability and “Second-Order Acts"," Discussion Papers 1531, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1531
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    References listed on IDEAS

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    1. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Econometrica, Econometric Society, vol. 79(1), pages 47-73, January.
    2. Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
    3. Chew, Soo Hong & Sagi, Jacob S., 2008. "Small worlds: Modeling attitudes toward sources of uncertainty," Journal of Economic Theory, Elsevier, vol. 139(1), pages 1-24, March.
    4. Sujoy Mukerji & Peter Klibanoff and Kyoungwon Seo, 2011. "Relevance and Symmetry," Economics Series Working Papers 539, University of Oxford, Department of Economics.
    5. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    6. Ergin, Haluk & Gul, Faruk, 2009. "A theory of subjective compound lotteries," Journal of Economic Theory, Elsevier, vol. 144(3), pages 899-929, May.
    7. 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.
    8. Simon Grant & Ben Polak & Tomasz Strzalecki, "undated". "Second-Order Expected Utility," Working Paper 8340, Harvard University OpenScholar.
    9. William Neilson, 2010. "A simplified axiomatic approach to ambiguity aversion," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 113-124, October.
    10. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
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    Cited by:

    1. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Prediction Markets to Forecast Electricity Demand," Discussion Papers 1529, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Mark Schneider & Manuel Nunez, 2016. "Mean-Dispersion Preferences with a Specific Dispersion Function," Working Papers 16-10, Chapman University, Economic Science Institute.
    3. Nunez, Manuel & Schneider, Mark, 2019. "Mean-dispersion preferences with a specific dispersion function," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 195-206.

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