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Doubling Back on Double Marginalization

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  • Laurent Linnemer

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique)

Abstract

"Double marginalization" and "Elimination of Double marginalization" are catch-phrases commonly used in the IO literature. In this note, I trace back the origin of the idea to Chapter IX, on complementary goods monopolies, of Cournot (1838). Through the years Cournot's contribution remained a reference but ended being viewed as a special case of the bilateral monopoly model. Yet, it is worth wondering why the most cited paper on this issue is nowadays Spengler (1950) which contains only an informal treatment of the question. In addition to retracing the origin of the idea, I emphasize the elegant proof of Cournot for the simultaneous game and extend it to the sequential game. I also show that prices are usually higher in the sequential game but that they could be lower if demand is very convex.

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  • Laurent Linnemer, 2022. "Doubling Back on Double Marginalization," Working Papers hal-03587415, HAL.
    • Handle: RePEc:hal:wpaper:hal-03587415
    Note: View the original document on HAL open archive server: https://hal.science/hal-03587415
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    2. Nicolas Pasquier, 2024. "Decentralization and Consumer Welfare with Substitutes or Complements," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 64(3), pages 449-469, May.

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    Keywords

    JEL codes: B160; B210; K210; L120; L13; L420; Cournot; Complements; Successive monopolies;
    All these keywords.

    JEL classification:

    • B16 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Quantitative and Mathematical
    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • K21 - Law and Economics - - Regulation and Business Law - - - Antitrust Law
    • 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
    • L42 - Industrial Organization - - Antitrust Issues and Policies - - - Vertical Restraints; Resale Price Maintenance; Quantity Discounts

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