recursive preferences
From The New Palgrave Dictionary of Economics, Second Edition, 2008
Edited by
Steven
N.
Durlauf
and
Lawrence
E.
Blume
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Abstract
Recursive preferences characterize the trade-offs between current and future consumption by summarizing the future with a single index, the certainty equivalent of next period's utility. Recursive utility functions are built from two components. A risk aggregator encodes trade-offs across the outcomes of a static gamble and, hence, defines the certainty equivalent of future utility. A time aggregator encodes trade-offs between current consumption and the certainty equivalent of future utility. We suggest functional forms for time and risk aggregators with desirable properties for applications in economics and finance, such as the standard intertemporal consumption/portfolio problem, which we solve using dynamic programming.
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Keywords
Bellman equation; certainty equivalent; disappointment aversion; dynamic optimization; elasticity of intertemporal substitution; expected utility; impatience; infinite horizons; preferences; rational expectations; recursive preferences; risk aggregator; risk aversion; stochastic dynamic models; time aggregator; time preference; utility functions; weighted utilityHow to cite this article
Backus, David K., Bryan R. Routledge and Stanley E. Zin. "recursive preferences." The New Palgrave Dictionary of Economics. Second Edition. Eds. Steven N. Durlauf and Lawrence E. Blume. Palgrave Macmillan, 2008. The New Palgrave Dictionary of Economics Online. Palgrave Macmillan. 02 September 2010 <http://www.dictionaryofeconomics.com/article?id=pde2008_R000260> doi:10.1057/9780230226203.1408
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