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Hyperbolic Discounting and Secondary Markets

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  • Volker Nocke
  • Martin Peitz

Abstract

We study the effect of hyperbolic discounting on competitive equilibria in secondary markets for a durable good. Under exponential discounting, secondary markets are irrelevant in our model. They do not affect the price in the initial period and are neutral to the allocation. Under hyperbolic discounting, secondary markets are not neutral; they do not affect price and allocation. The price in the unique competitive Markov equilibrium is lower than the price in the absence of secondary markets. This affects the equilibrium supply of the durable good in the initial period. We characterise all stationary competitive equilibria in terms of prices. In particular, we obtain that there are stationary competitive equilibria in which trade occurs in each period and the allocation of the durable good is inefficient. Furthermore, we show that there exist competitive equilibria with increasing, decreasing, and cycling price paths, despite the stationarity of the market environment.

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Bibliographic Info

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 2001-W17.

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Date of creation: 01 Dec 2002
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Handle: RePEc:oxf:wpaper:2001-w17

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Keywords: hyperbolic; discounting; secondary markets; durable good; time inconsistency;

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  1. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
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  4. Ted O'Donoghue & Matthew Rabin, 2001. "Choice And Procrastination," The Quarterly Journal of Economics, MIT Press, vol. 116(1), pages 121-160, February.
  5. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
  6. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  7. Carrillo, Juan D & Mariotti, Thomas, 2000. "Strategic Ignorance as a Self-Disciplining Device," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 529-44, July.
  8. W. Pesendorfer & F. Gul, 1999. "Temptation and Self-Control," Princeton Economic Theory Papers 99f1, Economics Department, Princeton University.
  9. Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
  10. Ted O'Donoghue & Matthew Rabin, 1997. "Incentives for Procrastinators," Discussion Papers 1181, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Volker Nocke & Martin Peitz, 2002. "Hyperbolic Discounting and Secondary Markets," Economics Series Working Papers 2001-W17, University of Oxford, Department of Economics.
  12. Luttmer, Erzo G J & Mariotti, Thomas, 2000. "Subjective Discount Factors," CEPR Discussion Papers 2503, C.E.P.R. Discussion Papers.
  13. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-32, April.
  14. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
  15. Brocas, Isabelle & Carrillo, Juan D, 1999. "On Rush and Procrastination," CEPR Discussion Papers 2237, C.E.P.R. Discussion Papers.
  16. 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.
  17. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
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Cited by:
  1. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
  2. Fabian Herweg & Daniel Müller, 2011. "Performance of procrastinators: on the value of deadlines," Theory and Decision, Springer, vol. 70(3), pages 329-366, March.
  3. Heidhues, Paul & Köszegi, Botond, 2005. "The Impact of Consumer Loss Aversion on Pricing," CEPR Discussion Papers 4849, C.E.P.R. Discussion Papers.
  4. Jeffrey Shulman & Anne Coughlan, 2007. "Used goods, not used bads: Profitable secondary market sales for a durable goods channel," Quantitative Marketing and Economics, Springer, vol. 5(2), pages 191-210, June.

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