Dynamic variational preferences
We introduce and axiomatize dynamic variational preferences, the dynamic version of the variational preferences we axiomatized in , which generalize the multiple priors preferences of Gilboa and Schmeidler , and include the Multiplier Preferences inspired by robust control and first used in macroeconomics by Hansen and Sargent (see ), 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.
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