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Strategic Complementarity Conditions in Bertrand Oligopoly

Author

Listed:
  • Rabah Amir

    (University of Southern Denmark, Odense)

  • Isabel Grilo

    (CORE, Louvain-la-neuve)

Abstract

This note relates to Topkis (1995). We establish via counterexample that:(i) A new monotone transformation of the firms' profit functions may lead to cardinal complementarity when the standard log and identity transformations both fail, and (ii) Topkis's notion of critical sufficient condition for monotone comparative statics of a firm cannot be extended to rely only on positive unit costs.

Suggested Citation

  • Rabah Amir & Isabel Grilo, 2000. "Strategic Complementarity Conditions in Bertrand Oligopoly," CIE Discussion Papers 2000-11, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    • Handle: RePEc:kud:kuieci:2000-11
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    2. Olga Ivanova, 2004. "An influence of road pricing upon the performance of bus transit services in Oslo," ERSA conference papers ersa04p107, European Regional Science Association.
    3. Jan Zouhar & Martina Zouharova, 2020. "Stackelberg versus Cournot duopoly with asymmetric costs: primary markups, entry deterrence, and a comparison of social welfare and industry profits," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 89-96, April.
    4. Cumbul, Eray & Virág, Gábor, 2018. "Multilateral limit pricing in price-setting games," Games and Economic Behavior, Elsevier, vol. 111(C), pages 250-273.
    5. KNAUFF, Malgorzata, 2006. "Market transparency and Bertrand competition," LIDAM Discussion Papers CORE 2006037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    7. Xiaokuai Shao & Ming Gao, 2025. "Second-home tax and tax avoidance in the housing market," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(2), pages 561-601, March.

    More about this item

    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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