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Hyperbolic discounting and secondary markets

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  • Nocke, Volker
  • Peitz, Martin

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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  • Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
  • Handle: RePEc:eee:gamebe:v:44:y:2003:i:1:p:77-97
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    1. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    2. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    3. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    4. Ted O'Donoghue & Matthew Rabin, 2001. "Choice and Procrastination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 121-160.
    5. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    6. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    7. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
    8. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    9. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    10. Rubinstein, A., 2000. "Is it "Economics and Psychology"?: the Case of Hyperbolic Discounting," Papers 00-21, Tel Aviv.
    11. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    12. Ted O'Donoghue & Matthew Rabin, 1999. "Incentives for Procrastinators," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 769-816.
    13. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    14. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    15. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    16. 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.
    17. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    18. Brocas, Isabelle & Carrillo, Juan D, 1999. "On Rush and Procrastination," CEPR Discussion Papers 2237, C.E.P.R. Discussion Papers.
    19. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    20. Mariotti, Thomas & Luttmer, Erzo G J, 2000. "Subjective Discount Factors," CEPR Discussion Papers 2503, C.E.P.R. Discussion Papers.
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    Cited by:

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    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. Jeffrey Shulman & Anne Coughlan, 2007. "Used goods, not used bads: Profitable secondary market sales for a durable goods channel," Quantitative Marketing and Economics (QME), Springer, vol. 5(2), pages 191-210, June.
    4. Murooka, Takeshi & Schwarz, Marco A., 2018. "The timing of choice-enhancing policies," Journal of Public Economics, Elsevier, vol. 157(C), pages 27-40.
    5. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.
    6. Juan D. Carrillo & Mathias Dewatripont, 2008. "Promises, Promises, …," Economic Journal, Royal Economic Society, vol. 118(531), pages 1453-1473, August.
    7. Heidhues, Paul & Köszegi, Botond, 2018. "Behavioral Industrial Organization," CEPR Discussion Papers 12988, C.E.P.R. Discussion Papers.
    8. Kang, Jingoo & Kang, Minwook, 2022. "Durable goods as commitment devices under quasi-hyperbolic discounting," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    9. Sanjay Jain, 2019. "Time Inconsistency and Product Design: A Strategic Analysis of Feature Creep," Marketing Science, INFORMS, vol. 38(5), pages 835-851, September.
    10. Antino Kim & Rajib L. Saha & Warut Khern-am-nuai, 2021. "Manufacturer’s “1-Up” from Used Games: Insights from the Secondhand Market for Video Games," Information Systems Research, INFORMS, vol. 32(4), pages 1173-1191, December.

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    More about this item

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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