Unique solutions for stochastic recursive utilities

M Marinacci, L Montrucchio - Journal of Economic Theory, 2010 - Elsevier
We study unique and globally attracting solutions of a general nonlinear stochastic equation,
widely used in Finance and Macroeconomics and closely related to stochastic Koopmans
equations. The equation is specified by a temporal aggregator W and a certainty equivalent
operator M. The main contribution of the paper is the introduction of the new class of
Thompson aggregators. Other contributions of the paper are:(i) a detailed analysis of quasi-
arithmetic operators M that generalize those of Kreps and Porteus (1978)[18];(ii) a …
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