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Management of a capital stock by Strotz's naive planner

Listed author(s):
  • Tyson, Christopher J.

The capital management problem posed by R.H. Strotz is analyzed for the case of the 'naive' planner who fails to anticipate changes in his own preferences. By imposing progressively stronger restrictions on the primitives of the problem - namely, the discounting function, the utility index function, and the investment technology - the planner's behavior is characterized first as the solution to an ordinary differential equation and then via explicit formulae. Inasmuch as these characterizations leave the discounting function essentially unrestricted, the theory can accommodate, in particular, decision makers who discount time according to the hyperbolic and 'quasi-hyperbolic' curves used in applied work and said to be supported by psychological studies. Comparative statics of the model are discussed, as are extensions of the analysis to allow for credit constraints, limited foresight, and partial commitment.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 32 (2008)
Issue (Month): 7 (July)
Pages: 2214-2239

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Handle: RePEc:eee:dyncon:v:32:y:2008:i:7:p:2214-2239
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  6. Christopher J. Tyson, 2007. "Management of a Capital Stock by Strotz's Naive Planner," Working Papers 615, Queen Mary University of London, School of Economics and Finance.
  7. Ted O'Donoghue & Matthew Rabin, 1999. "Incentives for Procrastinators," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 769-816.
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  15. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
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  19. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," Review of Economic Studies, Oxford University Press, vol. 23(3), pages 165-180.
  20. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 391-401.
  21. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
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  26. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
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