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Management of a Capital Stock by Strotz's Naive Planner

A generalized version of the capital management problem posed in a classic paper by R. H. Strotz is analyzed for the case of the "naive" planner who fails to anticipate any impending change in his own preferences. By imposing progressively stronger restrictions on the primitives of the problem --- namely, the planner's discounting function, his utility index function, and the investment technology --- the path of the capital stock is characterized first implicitly as the solution to a differential equation and then explicitly via formulae that may or may not be expressible in closed form. Inasmuch as this procedure turns out to leave the discounting function essentially unrestricted, the theory can accommodate, in particular, decision makers who discount time according to the type of hyperbolic curve said to be suggested by psychological studies. Strategies for numerical computation of capital paths are discussed and are demonstrated in sample planning problems.

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File URL: http://www.nuffield.ox.ac.uk/economics/papers/2006/w1/300306.pdf
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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2006-W01.

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Length: 25 pages
Date of creation: 30 Mar 2006
Date of revision:
Handle: RePEc:nuf:econwp:0601
Contact details of provider: Web page: http://www.nuff.ox.ac.uk/economics/

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  1. Ted O' Donoghue and Matthew Rabin., 2000. "Choice and Procrastination," Economics Working Papers E00-281, University of California at Berkeley.
  2. Ted O'Donoghue & Matthew Rabin, 1996. "Doing It Now or Later," Discussion Papers 1172, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Asheim, G., 1991. "Individual and Collective Time Consistency," Discussion Paper 1991-69, Tilburg University, Center for Economic Research.
  4. Per Krusell & Anthony A. Smith, Jr., . "Consumption-Savings Decisions with Quasi-Geometric Discounting," GSIA Working Papers 2001-05, Carnegie Mellon University, Tepper School of Business.
  5. Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 533-37, April.
  6. Christopher J. Tyson, 2006. "Management of a Capital Stock by Strotz's Naive Planner," Economics Papers 2006-W01, Economics Group, Nuffield College, University of Oxford.
  7. Burness, H Stuart, 1976. "A Note on Consistent Naive Intertemporal Decision Making and an Application to the Case of Uncertain Lifetime," Review of Economic Studies, Wiley Blackwell, vol. 43(3), pages 547-49, October.
  8. Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
  9. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 391-401, July.
  10. Laibson, David I. & Harris, Christopher, 2012. "Instantaneous Gratification," Scholarly Articles 9918802, Harvard University Department of Economics.
  11. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-94, October.
  12. Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
  13. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
  14. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  15. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  16. Ted O'Donoghue & Matthew Rabin, 1997. "Incentives for Procrastinators," Discussion Papers 1181, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November.
  18. Schelling, Thomas C, 1984. "Self-Command in Practice, in Policy, and in a Theory of Rational Choice," American Economic Review, American Economic Association, vol. 74(2), pages 1-11, May.
  19. Blackorby, Charles, et al, 1973. "Consistent Intertemporal Decision Making," Review of Economic Studies, Wiley Blackwell, vol. 40(2), pages 239-48, April.
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