Recursive Preferences and Balanced Growth

Roger Farmer and Amartya Lahiri

No 3949, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: We study a class of utility functions that are defined recursively by an aggregator function. In single-agent economies it is known that a sufficient condition for the existence of a balanced growth path is that utility should be homogenous. In the context of a multi-agent economy we show that this restriction implies that either a balanced growth equilibrium fails to exist or all agents have the same constant discount factor. We suggest a generalization of recursive preferences wherein the intertemporal utility function is time dependent. Within this class we establish that there may exist a balanced growth equilibrium even if agents are different. We give an example of our approach in the international context in which time dependence occurs because countries care about their relative position in the world income distribution.

Keywords: Recursive utility; Balanced growth; Endogenous income distribution (search for similar items in EconPapers)
JEL-codes: D11 F40 (search for similar items in EconPapers)
Date: 2003-06
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Journal Article: Recursive preferences and balanced growth (2005)
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