No. 413 - Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting

by P. Krusell, B. Kuruscu and A. A. Smith, Jr.
August 2001
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We consider a representative-agent equilibrium model where the consumer has quasi geometric discounting and cannot commit to future actions. We restrict attention to a parametric class for preferences and technology and solve for time-consistent competitive equilibria globally and explicitly. We then 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.