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Informativeness of experiments for MEU—A recursive definition

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  • Heyen, Daniel
  • Wiesenfarth, Boris R.

Abstract

The well-known Blackwell theorem states the equivalence of statistical informativeness and economic valuableness. Çelen (2012) generalizes this theorem, which is well-known for subjective expected utility (seu), to maxmin expected utility (meu) preferences. We demonstrate that the underlying definition of the value of information used in Çelen (2012) is in contradiction with the principle of recursively defined utility. As a consequence, Çelen’s framework features dynamic inconsistency. Our main contribution consists in the definition of a value of information for meupreferences that is compatible with recursive utility and thus respects dynamic consistency.

Suggested Citation

  • Heyen, Daniel & Wiesenfarth, Boris R., 2015. "Informativeness of experiments for MEU—A recursive definition," Journal of Mathematical Economics, Elsevier, vol. 57(C), pages 28-30.
    • Handle: RePEc:eee:mateco:v:57:y:2015:i:c:p:28-30
    DOI: 10.1016/j.jmateco.2014.12.002
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    References listed on IDEAS

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    1. Larry G. Epstein & Martin Schneider, 2007. "Learning Under Ambiguity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1275-1303.
    2. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    3. Cremer, Jacques, 1982. "A simple proof of Blackwell's "comparison of experiments" theorem," Journal of Economic Theory, Elsevier, vol. 27(2), pages 439-443, August.
    4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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    Cited by:

    1. Roxane Bricet, 2018. "The price for instrumentally valuable information," THEMA Working Papers 2018-10, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Li, Jian & Zhou, Junjie, 2016. "Blackwell's informativeness ranking with uncertainty-averse preferences," Games and Economic Behavior, Elsevier, vol. 96(C), pages 18-29.

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