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On Some Categories Of Games And Corresponding Equilibria

Author

Listed:
  • VICTOR LAPITSKY

    (Institute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st.1, 191187 St.Petersburg, Russia)

Abstract

Some new generalisations of non-cooperative games are introduced to study the categorical properties of non-cooperative games and equilibrium in them. The corresponding equilibria in the categories of these games are proved to be functors to the category of sets.

Suggested Citation

  • Victor Lapitsky, 1999. "On Some Categories Of Games And Corresponding Equilibria," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 169-185.
    • Handle: RePEc:wsi:igtrxx:v:01:y:1999:i:02:n:s0219198999000128
    DOI: 10.1142/S0219198999000128
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    Citations

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    Cited by:

    1. Peter A. Streufert, 2018. "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms," University of Western Ontario, Departmental Research Report Series 20186, University of Western Ontario, Department of Economics.
    2. Peter A. Streufert, 2020. "The Category of Node-and-Choice Extensive-Form Games," Papers 2004.11196, arXiv.org, revised Jul 2020.
    3. Peter A. Streufert, 2021. "A Category for Extensive-Form Games," Papers 2105.11398, arXiv.org.
    4. Peter A. Streufert, 2016. "The Category of Node-And-Choice Forms for Extensive-Form Games," University of Western Ontario, Departmental Research Report Series 20165, University of Western Ontario, Department of Economics.

    More about this item

    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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