We explore the accumulation of capital in the presence of limited insurance against idiosyncratic shocks, borrowing constraints and endogenous labor supply. In the exogenous labor supply case (e.g. Aiyagari 1994, Huggett 1997, the presence of limited insurance increases the demand for savings for precautionary reasons. As a consequence, capital and output are higher under incomplete markets. We show that if labor hours are endogenous, labor supply is likely to be lower under incomplete markets, because those agents who experience a high shock to productivity are ex post richer and they work fewer hours. In some cases, this wealth effect can overcome the "aggregate precautionary savings" and give rise to lower savings and output under incomplete markets.
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We study the evolution of the distribution of assets in a discrete time, deterministic growth model with log-utility, a minimum consumption requirement, Cobb-Douglas technology, and agents differing in initial assets. We prove that the coefficient of variation in assets across agents decreases monotonically in a transition to the steady state from below, if (i) the consumption requirement is zero, or (ii) the consumption requirement is not too big and the initial capital stock is large enough. We also show how a positive consumption requirement or a small elasticity of substitution between capital and labor can generate non-monotonic paths for inequality. Copyright Springer-Verlag Berlin/Heidelberg 2005Wealth dynamics, Heterogeneous agents, Neoclassical growth model.,
Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte.
We explore the accumulation of capital in the presence of limited insurance against idiosyncratic shocks, borrowing constraints and endogenous labor supply. In the exogenous labor supply case (e.g. Aiyagari 1994, Huggett 1997, the presence of limited insurance increases the demand for savings for precautionary reasons. As a consequence, capital and output are higher under incomplete markets. We show that if labor hours are endogenous, labor supply is likely to be lower under incomplete markets, because those agents who experience a high shock to productivity are ex post richer and they work fewer hours. In some cases, this wealth effect can overcome the "aggregate precautionary savings" and give rise to lower savings and output under incomplete markets.
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