On the Existence and Characterization of Markovian Equilibrium in Models with Simple Non-Paternalistic Altruism
Olivier Morand () and
No 2002-06, Working papers from University of Connecticut, Department of Economics
This paper provides sufficient conditions for existence of Markovian equilibrium in models with non-paternalistic altruism extending to one generation ahead. When utility is non-separable, we show that each equilibrium savings policy correspondence is increasing everywhere and single-valued, except perhaps on a countable number of points. It is also upper hemi-continuous where it is single valued. When utility is separable, we show that the equilibrium is unique, increasing, and continuous, and we provide an algorithm converging uniformly to the equilibrium.
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Working Paper: On the Existence and Characterization of Markovian Equilibrium in Models with Simple Non-paternalistic Altruism
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