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Hyperbolic Discounting and Secondary Markets

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  • Volker Nocke

    ()
    (Nuffield College, Oxford)

  • Martin Pietz

    ()
    (Temporary Address: Fundamentos Analisis Economico, Universidad de Alicante)

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 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 Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2001-W17.

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Length: 37 pages
Date of creation: 12 Dec 2001
Date of revision:
Handle: RePEc:nuf:econwp:0117

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Web page: http://www.nuff.ox.ac.uk/economics/

Related research

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

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References

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  1. Brocas, Isabelle & Carrillo, Juan D, 1999. "On Rush and Procrastination," CEPR Discussion Papers 2237, C.E.P.R. Discussion Papers.
  2. Faruk Gul & Hugo Sonnenschein & Robert Wilson, 2010. "Foundations of Dynamic Monopoly and the Coase Conjecture," Levine's Working Paper Archive 232, David K. Levine.
  3. 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.
  4. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  5. 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.
  6. Ted O'Donoghue & Matthew Rabin, 1997. "Incentives for Procrastinators," Discussion Papers 1181, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. 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.
  8. O'Donoghue, Ted & Rabin, Matthew, 2000. "Choice and Procrastination," Department of Economics, Working Paper Series qt5r26k54p, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  9. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
  10. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
  11. Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
  12. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  13. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-32, April.
  14. Luttmer, Erzo G J & Mariotti, Thomas, 2000. "Subjective Discount Factors," CEPR Discussion Papers 2503, C.E.P.R. Discussion Papers.
  15. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
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Cited by:
  1. Fabian Herweg & Daniel Müller, 2008. "Performance of Procrastinators: On the Value of Deadlines," Bonn Econ Discussion Papers bgse3_2008, University of Bonn, Germany.
  2. Paul Heidhues & Botond Köszegi, 2004. "The Impact of Consumer Loss Aversion on Pricing," CIG Working Papers SP II 2004-17, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  3. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
  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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