Ambiguity in the small and in the large

Paolo Ghirardato and Marciano Siniscalchi

No 255, Carlo Alberto Notebooks from Collegio Carlo Alberto

Abstract: This paper considers local and global multiple-prior representations of ambiguity for preferences that are (i) monotonic, (ii) Bernoullian, i.e. admit an affine utility representation when restricted to constant acts, and (iii) locally Lipschitz continuous. We do not require either Certainty Independence or Uncertainty Aversion. We show that the set of priors identified by Ghirardato, Maccheroni, and Marinacci (2004)’s ‘unambiguous preference’ relation can be characterized as a union of Clarke differentials. We then introduce a behavioral notion of ‘locally better deviation’ at an act, and show that it characterizes the Clarke differential of the preference representation at that act. These results suggest that the priors identified by these preference statements are directly related to (local) optimizing behavior.

Keywords: Ambiguity; Optimization; Robustness; Derivative. (search for similar items in EconPapers)
JEL-codes: D81 (search for similar items in EconPapers)
Pages: 34 pages
Date: 2012
New Economics Papers: this item is included in nep-evo, nep-mic and nep-upt
References: View complete reference list from CitEc
Citations: View citations in EconPapers (39)

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Persistent link: https://EconPapers.repec.org/RePEc:cca:wpaper:255

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