This paper axiomatizes Cobb-Douglas preferences under uncertainty. First, we extend the original Trockel (Econ Lett 30:7–10, <CitationRef CitationID="CR46">1989</CitationRef>)’s axiomatic foundation to a general state space framework based on the Strong Homotheticity Axiom, obtaining also the incomplete case a la Bewley (Decis Econ...</citationref>

This paper investigates Nash equilibrium under the possibility that preferences may be incomplete. I characterize the Nash-equilibrium-set of such a game as the union of the Nash-equilibrium-sets of certain derived games with complete preferences. These games with complete preferences can be...

<Para ID="Par1">Recently, there has been some interest on models of incomplete preferences under uncertainty that allow for incompleteness due the multiplicity of tastes and beliefs. In particular, Galaabaatar and Karni (Econometrica 81(1):255–284, <CitationRef CitationID="CR6">2013</CitationRef>) work with a strict partial order and present...</citationref></para>

This is a study of the representations of subjective expected utility preferences that admit state-dependent incompleteness, and subjective expected utility preferences displaying non-comparability of acts from distinct sources. The notions familiar events and sources are defined and...

This paper axiomatizes models of second-order ambiguous beliefs in the original domain of preferences of Anscombe and Aumann (Ann Math Stat 34:199–205, <CitationRef CitationID="CR2">1963</CitationRef>) by weakening the first-stage independence postulate. The models we propose include the second-order subjective expected utility (SOSEU)...</citationref>

This note shows how Yaari (1987)'s dual theory of choice under risk naturally extends to the case of incomplete preferences. This also provides an axiomatic characterization of a large and widely studied class of stochastic orders used to rank the riskiness of random variables or the dispersion...

We study continuous-time consumption and portfolio choice in the presence of Knightian uncertainty about interest rates. We develop the stochastic model that involves singular priors and analyze optimal behavior. When there is sufficiently large uncertainty about interest rates, the agent...