Discussion Paper Details

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Title: Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting

Author(s): Per Krusell, Burhanettin Kuruscu and Anthony A Smith Jr.

Publication Date: February 2001

Keyword(s): Quasi-Geometric Discounting, Time Inconsistency and Welfare

Programme Area(s): International Macroeconomics and Public Economics

Abstract: We consider a representative-agent equilibrium model where the consumer has quasi-geometric discounting and cannot commit to future actions. With restricted attention to a parametric class for preferences and technology logarithmic utility, Cobb-Douglas production, and full depreciation we solve for time-consistent competitive equilibria globally and explicitly. For this class, we characterize the welfare properties of competitive equilibria and compare them to that of a planning problem. The planner is a consumer representative who, without commitment but in a time-consistent way, maximizes his present-value utility subject to resource constraints. The competitive equilibrium results in strictly higher welfare than does the planning problem whenever the discounting is not geometric. We also explicitly consider taxation in our environment. With a benevolent government that can tax income and capital, but cannot commit its future tax rates, time-consistent taxation leads to positive tax rates on capital. These tax rates reproduce the central planning solution, and thus imply a worse outcome in welfare terms than when there is no government.

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Bibliographic Reference

Krusell, P, Kuruscu, B and Smith Jr., A. 2001. 'Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting'. London, Centre for Economic Policy Research.