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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)

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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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File URL: http://fmwww.bc.edu/EC-P/WP450.pdf
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Publisher 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
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Publication status: published, Journal of Economic Dynamics and Control, 26, 1029-1052
Handle: RePEc:boc:bocoec:450

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Related research
Keywords: Durable goods; Transaction costs; Existence of stationary equilibrium;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition

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  1. Rust, John, 1985. "Stationary Equilibrium in a Market for Durable Assets," Econometrica, Econometric Society, vol. 53(4), pages 783-805, July. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February. [Downloadable!] (restricted)
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  8. Igal Hendel & Alessandro Lizzeri, 1999. "Interfering with Secondary Markets," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 1-21, Spring. [Downloadable!] (restricted)
  9. Hart, Sergiu & Hildenbrand, Werner & Kohlberg, Elon, 1974. "On equilibrium allocations as distributions on the commodity space," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 159-166, August. [Downloadable!] (restricted)
  10. Anderson, Simon P. & Ginsburgh, Victor A., 1994. "Price discrimination via second-hand markets," European Economic Review, Elsevier, vol. 38(1), pages 23-44, January. [Downloadable!] (restricted)
  11. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July. [Downloadable!] (restricted)
  12. Igal Hendel & Alessandro Lizzeri, 1997. "Adverse Selection in Durable Goods Markets," NBER Working Papers 6194, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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