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Nash Equilibria In Load Balancing In Distributed Computer Systems

Author

Listed:
  • EITAN ALTMAN

    (INRIA B.P. 93, 06902 Sophia Antipolis Cedex, France;
    CESIMO, Facultad de Ingenieria, Universidad de Los Andes, Mérida, Venezuela)

  • HISAO KAMEDA

    (The Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba Science City, Ibaraki 305-8573, Japan)

  • YOSHIHISA HOSOKAWA

    (Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba Science City, Ibaraki 305-8573, Japan)

Abstract

The use of game theoretical techniques has been quite successful in describing routing in networks, both in road traffic applications as well as in telecommunication networks applications. We study in this paper a third area of applications of such games, which is load balancing in distributed computer systems. One of the most important questions that arise in all applications of routing games is the existence and uniqueness of equilibrium. Whereas the existence of Nash equilibrium is known for general models of networks under weak assumptions, uniqueness results are only known for very special applications, i.e., either for very special cost functions or for very special topologies. We establish in this paper the uniqueness of an equilibrium for routing games with topologies that model well distributed computer systems, under quite general assumptions on the costs.

Suggested Citation

  • Eitan Altman & Hisao Kameda & Yoshihisa Hosokawa, 2002. "Nash Equilibria In Load Balancing In Distributed Computer Systems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 91-100.
    • Handle: RePEc:wsi:igtrxx:v:04:y:2002:i:02:n:s0219198902000574
    DOI: 10.1142/S0219198902000574
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    Citations

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    Cited by:

    1. Jacquot, Paulin & Wan, Cheng, 2022. "Nonatomic aggregative games with infinitely many types," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1149-1165.
    2. Pramod C. Mane & Nagarajan Krishnamurthy & Kapil Ahuja, 2019. "Formation of Stable and Efficient Social Storage Cloud," Games, MDPI, vol. 10(4), pages 1-17, November.

    More about this item

    Keywords

    Nash equilibrium; distributed computing; uniqueness;
    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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