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The Structure of Variational Preferences

  • S. Cerreia-Vioglio
  • F. Maccheroni
  • M. Marinacci
  • A. Rustichini

Maccheroni, Marinacci, and Rustichini [17], in an Anscombe-Aumann framework, axiomatically characterize preferences that are represented by the variational utility functional V (f) = min p2 Z u (f) dp + c (p) 8f 2 F; where u is a utility function on outcomes and c is an index of uncertainty aversion. In this paper, for a given variational preference, we study the class C of functions c that represent V . Inter alia, we show that this set is fully characterized by a minimal and a maximal element, c? and d?. The function c?, also identi?ed by Maccheroni, Marinacci, and Rustichini [17], fully characterizes the decision maker's attitude toward uncertainty, while the novel function d? characterizes the uncertainty perceived by the decision maker.

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Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number 520.

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Date of creation: 2014
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Handle: RePEc:igi:igierp:520
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  1. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
  2. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.
  3. Luca Rigotti & Chris Shannon & Tomasz Strzalecki, 2008. "Subjective Beliefs and ex ante Trade," Econometrica, Econometric Society, vol. 76(5), pages 1167-1190, 09.
  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.
  5. Simone Cerreia-Vioglio & Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2010. "Rational Preferences under Ambiguity," Carlo Alberto Notebooks 169, Collegio Carlo Alberto.
  6. Simone Cerreia-Vioglio, 2011. "Objective Rationality and Uncertainty Averse Preferences," Working Papers 413, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  7. Hanany Eran & Klibanoff Peter, 2009. "Updating Ambiguity Averse Preferences," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-53, November.
  8. Paolo Ghirardato & Marciano Siniscalchi, 2012. "Ambiguity in the small and in the large," Carlo Alberto Notebooks 255, Collegio Carlo Alberto.
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