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The Coase conjecture with incomplete information on the monopolist's commitment

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    (Department of Economics, University of Pennsylvania)

Abstract

A key to the Coase conjecture is the monopolist's inability to commit to a price, which leads consumers to believe that a high current price will be followed by low future prices. This paper studies the robustness of the Coase conjecture with respect to these beliefs of consumers. In particular, there is uncertainty over whether the monopolist is committed to a price (i.e. she may be a commitment type). Consequently, consumers are no longer certain that the price will change over time. I consider two kinds of commitment types. A behavioral commitment type charges an exogenously given price, while the rational commitment type optimally chooses a price. I show that the Coase conjecture is robust with regard to uncertainty over the monopolist's commitment. When the probability of behavioral types is sufficiently small, as in the original Coase conjecture, the monopolist earns the competitive profit. When the probability of behavioral types is positive, unlike in the original Coase conjecture, there is positive delay. But the delay disappears as the probability approaches zero. When the commitment type is rational, unless the probability of the commitment type is sufficiently high, both normal and committed monopolists charge the competitive price, and thus there is no delay.

Suggested Citation

  • ,, 2009. "The Coase conjecture with incomplete information on the monopolist's commitment," Theoretical Economics, Econometric Society, vol. 4(1), March.
  • Handle: RePEc:the:publsh:412
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    Cited by:

    1. Abreu, Dilip & Pearce, David G. & Stacchetti, Ennio, 2015. "One-sided uncertainty and delay in reputational bargaining," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Fudenberg, Drew & Gao, Ying & Pei, Harry, 2022. "A reputation for honesty," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Anna Sanktjohanser, 2020. "Optimally Stubborn," Cowles Foundation Discussion Papers 2255, Cowles Foundation for Research in Economics, Yale University.
    4. Chang, Dongkyu & Lee, Jong Jae, 2022. "Price skimming: Commitment and delay in bargaining with outside option," Journal of Economic Theory, Elsevier, vol. 205(C).

    More about this item

    Keywords

    Coase conjecture; reputational bargaining; rational commitment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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