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The Core in Oligopoly Market with Indivisibility

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  • Jingang Zhao

Abstract

This paper studies the core in an oligopoly market with indivisibility. It provides necessary and sufficient conditions for core existence in a general m-buyer n-seller market with indivisibility. When costs are dominated by opportunity costs (i.e., a firm's variable costs are sufficiently small), the core condition can be characterized by the primitive market parameters. In a 3-2 market with opportunity cost, the core is non-empty if and only if the larger seller's opportunity cost is either sufficiently large or sufficiently small.
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Suggested Citation

  • Jingang Zhao, 1999. "The Core in Oligopoly Market with Indivisibility," Working Papers 99-07, Ohio State University, Department of Economics.
    • Handle: RePEc:osu:osuewp:99-07
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    File URL: http://economics.sbs.ohio-state.edu/Zhao/wp/omi.pdf
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    Cited by:

    1. Jingang Zhao, 1998. "Non-Empty Core as a Precondition for Horizontal Merger: Core Existence without Using Balancedness," Working Papers 98-07, Ohio State University, Department of Economics.
    2. Camelia Bejan & Juan Gómez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 3-16, March.

    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative 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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