JOSÉ HELENO FARO
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Artigo Científico Independence and variational bewley preferences: a note(2020) Bastianello, Lorenzo; JOSÉ HELENO FARO; Teles, FláviaThis note studies some alternatives and weak versions of the Independence axiom in a decision theoretic framework under uncertainty. We propose a characterization of this axiom using a property called Weight Independence. Moreover we study how the Independence axiom is related with the Variational Bewley model of Faro [2015]. We show that Variational Bewley preferences satisfy a weaker form of independence called Independence for Constant Weights. This topic gives us the opportunity to discuss the pioneeristic contributions of David Schmeidler on the weakening of the Independence axiom.Artigo Científico Ambiguity through confidence functions(2009) Chateauneuf, Alain; JOSÉ HELENO FAROWe characterize preference relations over bounded below Anscombe and Aumann’s acts and give necessary and sufficient conditions that guarantee the existence of a utility function u on consequences, a confidence function ϕ on the set of all probabilities over states of nature, and a positive threshold level of confidence ˛0 such that our preference relation has a functional representation J, where given an act f J(f) = min p ∈ L˛0 ϕ 1 ϕ(p) S u(f) dp. The level set L˛0ϕ := {p : ϕ(p) ≥ ˛0} reflects the priors held by the decision maker and the valueϕ(p) captures the relevance of prior p for his decision. The combination ofϕ and˛0 may describe the decision maker’s subjective assessment of available information. An important feature of our representation is the characterization of the maximal confidence function which allows us to obtain results on comparative ambiguity aversion and on special cases, namely the subjective expected utility, the Choquet expected utility with convex capacity, and the maxmin expected utilitArtigo Científico Cobb-Douglas preferences under uncertainty(2013) JOSÉ HELENO FAROThis paper axiomatizes Cobb-Douglas preferences under uncertainty. First, we extend the original Trockel (Econ Lett 30:7–10, 1989)’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 Financ 25:79–110, 2002). We show that this key axiom for the Cobb-Douglas expected utility specification is refuted by Ellsberg’s uncertainty aversion behavioral pattern. Our main result provides a set of meaningful axioms characterizing Cobb-Douglas min-expected utility preferences, an important class of uncertainty averse preferences for studying the consequences of ambiguity in finance and other fields. Finally, we present briefly how to obtain more general representations like the variational case.