Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/70464
Authors: 
Mitra, Tapan
Ray, Debraj
Year of Publication: 
2009
Series/Report no.: 
CAE Working Paper 09-04
Abstract: 
We examine whether the Phelps-Koopmans theorem is valid in models with nonconvex production technologies. We show by example that a nonstationary path that converges to a capital stock above the smallest golden rule may indeed be efficient. This finding has the important implication that capital overaccumulation need not always imply inefficiency. We provide general conditions on the production function under which all paths that have a limit in excess of the smallest golden rule must be efficient, which proves a version of the theorem in the nonconvex case. Finally, we show by example that a nonconvergent path with limiting capital stocks bounded above (and away from) the smallest golden rule can be efficient, even if the model admits a unique golden rule. Thus the Phelps-Koopmans theorem in its general form fails to be valid.
Subjects: 
capital overaccumulation
inefficiency
Phelps-Koopmans theorem
non-convex production set
JEL: 
C61
O41
Document Type: 
Working Paper

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