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On Condorelli inequality for log-concave demand

Author

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  • Gui, Qingyun
  • Huang, Yi C.

Abstract

In this note we give a simple and direct proof of Condorelli’s lower-bound on monopoly profit for log-concave demand, that is, a monopolist obtains at least 1/e of the area under the log-concave demand.

Suggested Citation

  • Gui, Qingyun & Huang, Yi C., 2022. "On Condorelli inequality for log-concave demand," Economics Letters, Elsevier, vol. 215(C).
    • Handle: RePEc:eee:ecolet:v:215:y:2022:i:c:s0165176522001288
    DOI: 10.1016/j.econlet.2022.110502
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    References listed on IDEAS

    as
    1. Condorelli, Daniele, 2022. "A lower-bound on monopoly profit for log-concave demand," Economics Letters, Elsevier, vol. 210(C).
    2. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    3. Neeman, Zvika, 2003. "The effectiveness of English auctions," Games and Economic Behavior, Elsevier, vol. 43(2), pages 214-238, May.
    4. Kremer, Michael, 2018. "Worst-Case Bounds on R&D and Pricing Distortions: Theory and Disturbing Conclusions if Consumer Values Follow the World Income," CEPR Discussion Papers 13241, C.E.P.R. Discussion Papers.
    5. Michael Kremer & Christopher M. Snyder, 2018. "Worst-Case Bounds on R&D and Pricing Distortions: Theory with an Application Assuming Consumer Values Follow the World Income Distribution," NBER Working Papers 25119, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Monopoly profit; Log-concave demand; Grünbaum inequalities;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly

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