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Durable Goods Monopoly with Entry of New Consumers


  • Sobel, Joel


A dynamic monopolist produces at constant unit cost. Each period a new cohort of consumers enters the market. Each entering cohort is identical. Consumers within a cohort have different tastes. The paper shows that if players are sufficiently patient, any positive average profit less than the maximum feasible level can be attained in a subgame-perfect equilibrium; in stationary subgame-perfect equilibria, the seller cannot make sales at prices sufficiently greater than the lowest willingness-to-pay when period length goes to zero; and the seller attains the maximum commitment profit by charging the same (static monopoly) price in every period. Copyright 1991 by The Econometric Society.

Suggested Citation

  • Sobel, Joel, 1991. "Durable Goods Monopoly with Entry of New Consumers," Econometrica, Econometric Society, vol. 59(5), pages 1455-1485, September.
  • Handle: RePEc:ecm:emetrp:v:59:y:1991:i:5:p:1455-85

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    References listed on IDEAS

    1. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20 World Scientific Publishing Co. Pte. Ltd..
    2. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Oxford University Press, vol. 38(1), pages 1-12.
    3. Stanford, William G., 1986. "Subgame perfect reaction function equilibria in discounted duopoly supergames are trivial," Journal of Economic Theory, Elsevier, vol. 39(1), pages 226-232, June.
    4. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
    5. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
    6. Futia, Carl, 1977. "The complexity of economic decision rules," Journal of Mathematical Economics, Elsevier, vol. 4(3), pages 289-299, December.
    7. Stanford, William G., 1986. "On continuous reaction function equilibria in duopoly supergames with mean payoffs," Journal of Economic Theory, Elsevier, vol. 39(1), pages 233-250, June.
    8. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-1634, November.
    9. Kalai, Ehud & Samet, Dov & Stanford, William, 1988. "A Note on Reactive Equilibria in the Discounted Prisoner's Dilemma and Associated Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(3), pages 177-186.
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