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Existence of Stationary Equilibrium in the Markets for New and Used Durable Goods

Author

Listed:
  • Hideo Konishi

    () (Boston College)

  • Michael Sandfort

    (Southern Methodist University)

Abstract

We prove the existence of stationary equilibrium in the primary and secondhand markets for an indivisible consumer durable in a general model with stochastic degradation and endogenous scrappage decisions. Unlike Rust (1985), we introduce transaction costs in the model as a motivation for consumer holdings of durables across multiple quality levels. In addition, we allow for multiple types of durables (e.g., Porsche and BMW). Since we use a fixed point theorem in making the existence argument, we do not need to invoke the single-crossing property on consumer tastes.

Suggested Citation

  • Hideo Konishi & Michael Sandfort, 2000. "Existence of Stationary Equilibrium in the Markets for New and Used Durable Goods," Boston College Working Papers in Economics 450, Boston College Department of Economics.
  • Handle: RePEc:boc:bocoec:450
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    References listed on IDEAS

    as
    1. Rust, John, 1985. "Stationary Equilibrium in a Market for Durable Assets," Econometrica, Econometric Society, vol. 53(4), pages 783-805, July.
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    3. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    4. Bresnahan, Timothy F., 1981. "Departures from marginal-cost pricing in the American automobile industry : Estimates for 1977-1978," Journal of Econometrics, Elsevier, vol. 17(2), pages 201-227, November.
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    6. Anderson, Simon P. & Ginsburgh, Victor A., 1994. "Price discrimination via second-hand markets," European Economic Review, Elsevier, vol. 38(1), pages 23-44, January.
    7. Manski, Charles F., 1983. "Analysis of equilibrium automobile holdings in Israel with aggregate discrete choice models," Transportation Research Part B: Methodological, Elsevier, vol. 17(5), pages 373-389, October.
    8. Igal Hendel & Alessandro Lizzeri, 1999. "Interfering with Secondary Markets," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 1-21, Spring.
    9. Alessandro Lizzeri & Igal Hendel, 1999. "Adverse Selection in Durable Goods Markets," American Economic Review, American Economic Association, vol. 89(5), pages 1097-1115, December.
    10. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    11. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    12. Bond, Eric W, 1983. "Trade in Used Equipment with Heterogeneous Firms," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 688-705, August.
    13. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
    14. James Berkovec, 1985. "New Car Sales and Used Car Stocks: A Model of the Automobile Market," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 195-214, Summer.
    15. Liebowitz, S J, 1982. "Durability, Market Structure, and New-Used Goods Models," American Economic Review, American Economic Association, vol. 72(4), pages 816-824, September.
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    Citations

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    Cited by:

    1. Samuel P. Fraiberger & Arun Sundararajan, 2015. "Peer-to-Peer Rental Markets in the Sharing Economy," Working Papers 15-19, NET Institute.
    2. Raghunath Singh Rao & Om Narasimhan & George John, 2009. "Understanding the Role of Trade-Ins in Durable Goods Markets: Theory and Evidence," Marketing Science, INFORMS, vol. 28(5), pages 950-967, 09-10.
    3. Smith Loren K., 2009. "New Market Policy Effects on Used Markets: Theory and Evidence," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-27, July.
    4. Andrikopoulos, Athanasios & Markellos, Raphael N., 2015. "Dynamic interaction between markets for leasing and selling automobiles," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 260-270.
    5. Raymond Deneckere & Meng-Yu Liang, 2008. "Imperfect durability and the Coase conjecture," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 1-19.
    6. Pasquale Schiraldi, 2011. "Automobile replacement: a dynamic structural approach," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 266-291, June.
    7. Chen, Jen-Ming & Hsu, Yu-Ting, 2017. "Revenue management for durable goods using trade-ins with certified pre-owned options," International Journal of Production Economics, Elsevier, vol. 186(C), pages 55-70.
    8. Liu, Ting & Schiraldi, Pasquale, 2014. "Buying frenzies in durable-goods markets," European Economic Review, Elsevier, vol. 70(C), pages 1-16.
    9. Ernő Kovács & Zsuzsanna Lőke & Ibolya Bokor, 2007. "Trade of second-hand products, as a means of social emergence in the European Union and Hungary," Acta Universitatis Bohemiae Meridionales, University of South Bohemia in Ceske Budejovice, vol. 10(1), pages 37-42.

    More about this item

    Keywords

    Durable goods; Transaction costs; Existence of stationary equilibrium;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition

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