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

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Author Info

  • 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.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 450.

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Length: 20 pages
Date of creation: 20 Jan 2000
Date of revision:
Publication status: published, Journal of Economic Dynamics and Control, 26, 1029-1052
Handle: RePEc:boc:bocoec:450

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Web page: http://fmwww.bc.edu/EC/
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Keywords: Durable goods; Transaction costs; Existence of stationary equilibrium;

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References

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  1. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
  2. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
  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.
  5. Anderson, Simon P. & Ginsburgh, Victor A., 1994. "Price discrimination via second-hand markets," European Economic Review, Elsevier, vol. 38(1), pages 23-44, January.
  6. HART, Sergiu & HILDENBRAND, Werner & KOHLBERG, Elon, . "On equilibrium allocations as distributions on the commodity space," CORE Discussion Papers RP -183, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Rust, John, 1985. "Stationary Equilibrium in a Market for Durable Assets," Econometrica, Econometric Society, vol. 53(4), pages 783-805, July.
  8. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February.
  9. 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.
  10. Igal Hendel & Alessandro Lizzeri, 1997. "Adverse Selection in Durable Goods Markets," NBER Working Papers 6194, National Bureau of Economic Research, Inc.
  11. Liebowitz, S J, 1982. "Durability, Market Structure, and New-Used Goods Models," American Economic Review, American Economic Association, vol. 72(4), pages 816-24, September.
  12. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
  13. 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.
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Cited by:
  1. Pasquale Schiraldi, 2011. "Automobile replacement: a dynamic structural approach," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 266-291, 06.
  2. 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 Meridionalis, University of South Bohemia in Ceske Budejovice, vol. 10(1), pages 37-42.

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