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Inseparables: exact potentials and addition

Author

Listed:
  • Nikolai S. Kukushkin

    (Dorodnicyn Computing Centre, FRC CSC RAS; Moscow Institute of Physics and Technology)

Abstract

In both universal classes of exact potential games described in the existing literature, congestion games and games with structured utilities, the players sum up their common local utilities. This paper shows that no other method to aggregate local utilities could guarantee the existence of an exact potential.

Suggested Citation

  • Nikolai S. Kukushkin, 2017. "Inseparables: exact potentials and addition," Economics Bulletin, AccessEcon, vol. 37(2), pages 1176-1181.
    • Handle: RePEc:ebl:ecbull:eb-17-00363
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2017/Volume37/EB-17-V37-I2-P105.pdf
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    References listed on IDEAS

    as
    1. Mark Voorneveld & Peter Borm & Freek Van Megen & Stef Tijs & Giovanni Facchini, 1999. "Congestion Games And Potentials Reconsidered," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 283-299.
    2. repec:fth:tilbur:9998 is not listed on IDEAS
    3. Nikolai Kukushkin, 2007. "Congestion games revisited," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 57-83, September.
    4. Kukushkin, Nikolai S., 2018. "A universal construction generating potential games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 331-340.
    5. Tobias Harks & Max Klimm & Rolf Möhring, 2013. "Strong equilibria in games with the lexicographical improvement property," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 461-482, May.
    6. Kukushkin, Nikolai S., 2017. "Strong Nash equilibrium in games with common and complementary local utilities," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 1-12.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Potential game; Congestion game; Game with structured utilities; Additive aggregation;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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