Dynamic variational preferences

• 成果类型: Article
• 署名作者: Maccheroni, Fabio; Marinacci, Massimo; Rustichini, Aldo
• 署名单位: University of Turin; University of Turin; University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2005.12.011
• 发表日期: 2006
• 页码: 4-44
• 关键词: Ambiguity aversion; model uncertainty; recursive utility; Robust control; time consistency

摘要

We introduce and aximatize dynamic variational preferences, the dynamic version of the variational preferences we axiomatized in [F. Maccheroni, M. Marinacci, A. Rustichini, Ambiguity aversion, robustness, and the variational representation of preferences, Mimeo, 2004], which generalize the multiple priors preferences of Gilboa and Schmeidler [Maxmin expected utility with a non-unique prior, J. Math. Econ. 18 (1989) 141-153], and include the Multiplier Preferences inspired by robust control and first used in macroeconomics by Hansen and Sargent (see [L.P. Hansen, T.J. Sargent, Robust control and model uncertainty, Amer. Econ. Rev. 91 (2001) 60-66]), as well as the classic Mean Variance Preferences of Markovitz and Tobin. We provide a condition that makes dynamic variational preferences time consistent, and their representation recursive. This gives them the analytical tractability needed in macroeconomic and financial applications. A corollary of our results is that Multiplier Preferences are time consistent, but Mean Variance Preferences are not. (c) 2006 Elsevier Inc. All rights reserved.