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Price skimming: Commitment and delay in bargaining with outside option

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  • Chang, Dongkyu
  • Lee, Jong Jae

Abstract

This paper studies a bargaining problem in which the buyer's valuation and outside option are private information. We show that there exists a non-stationary equilibrium in which the seller can secure full commitment profit (from the optimal sales mechanism that exhibits price skimming) if and only if the buyer's outside option takes a zero value with positive probability (non-negligibly zero outside option). Our innovation is to show that (i) both the Coasean reversion and positive selection are necessary for the seller to secure the full commitment profit and (ii) the Coasean equilibria may coexist with positive selection despite their claimed incompatibility if the non-negligibly zero outside option exists.

Suggested Citation

  • Chang, Dongkyu & Lee, Jong Jae, 2022. "Price skimming: Commitment and delay in bargaining with outside option," Journal of Economic Theory, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:jetheo:v:205:y:2022:i:c:s0022053122001181
    DOI: 10.1016/j.jet.2022.105528
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    1. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    2. James K. Sebenius, 1992. "Negotiation Analysis: A Characterization and Review," Management Science, INFORMS, vol. 38(1), pages 18-38, January.
    3. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    4. Hwang, Ilwoo, 2018. "A theory of bargaining deadlock," Games and Economic Behavior, Elsevier, vol. 109(C), pages 501-522.
    5. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    6. Ausubel, Lawrence M. & Deneckere, Raymond J., 1989. "A direct mechanism characterization of sequential bargaining with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 48(1), pages 18-46, June.
    7. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    8. Bruno Strulovici, 2017. "Contract Negotiation and the Coase Conjecture: A Strategic Foundation for Renegotiation‐Proof Contracts," Econometrica, Econometric Society, vol. 85, pages 585-616, March.
    9. J. R. Hicks, 1963. "The Theory of Wages," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-00189-7, December.
    10. Qingmin Liu & Konrad Mierendorff & Xianwen Shi & Weijie Zhong, 2019. "Auctions with Limited Commitment," American Economic Review, American Economic Association, vol. 109(3), pages 876-910, March.
    11. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    12. Han, Lu & Strange, William C., 2015. "The Microstructure of Housing Markets," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 813-886, Elsevier.
    13. William Fuchs & Andrzej Skrzypacz, 2010. "Bargaining with Arrival of New Traders," American Economic Review, American Economic Association, vol. 100(3), pages 802-836, June.
    14. Martin Spann & Marc Fischer & Gerard J. Tellis, 2015. "Skimming or Penetration? Strategic Dynamic Pricing for New Products," Marketing Science, INFORMS, vol. 34(2), pages 235-249, March.
    15. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    16. Chang, Dongkyu, 2021. "Optimal sales mechanism with outside options," Journal of Economic Theory, Elsevier, vol. 195(C).
    17. Hwang, Ilwoo & Li, Fei, 2017. "Transparency of outside options in bargaining," Journal of Economic Theory, Elsevier, vol. 167(C), pages 116-147.
    18. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    19. Peng Du & Qiushuang Chen, 2017. "Skimming or penetration: optimal pricing of new fashion products in the presence of strategic consumers," Annals of Operations Research, Springer, vol. 257(1), pages 275-295, October.
    20. Francesco Nava & Pasquale Schiraldi, 2019. "Differentiated Durable Goods Monopoly: A Robust Coase Conjecture," American Economic Review, American Economic Association, vol. 109(5), pages 1930-1968, May.
    21. Oliver Hart, 1989. "Bargaining and Strikes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 25-43.
    22. Simon Board & Marek Pycia, 2014. "Outside Options and the Failure of the Coase Conjecture," American Economic Review, American Economic Association, vol. 104(2), pages 656-671, February.
    23. ,, 2009. "The Coase conjecture with incomplete information on the monopolist's commitment," Theoretical Economics, Econometric Society, vol. 4(1), March.
    24. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    25. Drew Fudenberg & David K. Levine & Jean Tirole, 1985. "Infinite-Horizon Models of Bargaining with One-Sided Incomplete Information," Levine's Working Paper Archive 1098, David K. Levine.
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    More about this item

    Keywords

    Bargaining; Outside option; Commitment; Price skimming; Coase conjecture; Positive selection;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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