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Global Stability Of Nash Equilibrium In Aggregative Games

Author

Listed:
  • KOJI OKUGUCHI

    (Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji-shi 192-0397, Japan)

  • TAKESHI YAMAZAKI

    (Department of Economics, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata-shi 950-2181, Japan)

Abstract

If an aggregative game satisfies the generalized Hahn conditions, then there exists a unique Nash equilibrium which may not be interior and is globally asymptotically stable under two alternative continuous adjustment processes with non-negativity constraints.

Suggested Citation

  • Koji Okuguchi & Takeshi Yamazaki, 2014. "Global Stability Of Nash Equilibrium In Aggregative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1-15.
    • Handle: RePEc:wsi:igtrxx:v:16:y:2014:i:04:n:s0219198914500145
    DOI: 10.1142/S0219198914500145
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    Citations

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    Cited by:

    1. Koji Okuguchi & Takeshi Yamazaki, 2018. "Existence of Unique Equilibrium in Cournot Mixed Oligopoly," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-13, September.
    2. Luis C. Corchón, 2021. "Aggregative games," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 49-71, March.
    3. Takeshi Yamazaki, 2016. "On the Works of Professor Koji Okuguchi," Springer Series in Game Theory, in: Pierre von Mouche & Federico Quartieri (ed.), Equilibrium Theory for Cournot Oligopolies and Related Games, pages 7-13, Springer.

    More about this item

    Keywords

    Aggregative game; Cournot oligopoly; global stability; Nash equilibrium; C72; D43; 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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