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Duopoly Models With Vertical Product Differentiation

Author

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  • DAVE FURTH

    (Faculty of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands)

Abstract

This paper deals with duopoly models with vertical product differentiation. These are two-stage games. In the first stage, the quality game, the two firms choose their quality. In the second stage, the price game, they choose their prices. When the market is covered, the properties of this game are well known, even when the consumers are not uniformly distributed. When the market is uncovered the literature is not always clear about these models. In the present paper it is shown that the price game can be solved, when the consumers are distributed according to a distribution function with a log-concave density function.

Suggested Citation

  • Dave Furth, 2011. "Duopoly Models With Vertical Product Differentiation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 121-140.
    • Handle: RePEc:wsi:igtrxx:v:13:y:2011:i:02:n:s0219198911002903
    DOI: 10.1142/S0219198911002903
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    References listed on IDEAS

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    1. anonymous, 1997. "Amendments effective January 2, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Nov, pages 888-888.
    2. -, 1997. "Major statistical publications: abstracts," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 27418, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    3. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    4. anonymous, 1997. "Final rule. Amendment effective January 2, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Nov, pages 897-905.
    5. Unknown, 1997. "Arer Reviewers, June 1996-May 1997," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 26(2), pages 1-1, October.
    6. anonymous, 1997. "Amendments effective January 1, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Dec, pages 978987-9789.
    7. anonymous, 1997. "Profile of Joseph E. Stiglitz," The Region, Federal Reserve Bank of Minneapolis, vol. 11(Sep), pages 9-17.
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    Cited by:

    1. Nikolay Zenkevich & Margarita Gladkova, 2016. "Price Competition on the Market of Counterfeiting Software," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-10, June.
    2. Corrado Benassi & Alessandra Chirco & Caterina Colombo, 2019. "Vertical differentiation beyond the uniform distribution," Journal of Economics, Springer, vol. 126(3), pages 221-248, April.

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    More about this item

    Keywords

    Duopoly; vertical product differentiation; L13;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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