• DocumentCode
    176697
  • Title

    Convergence of potential networked evolutionary games

  • Author

    Yuanhua Wang ; Ting Liu ; Daizhan Cheng

  • Author_Institution
    Inst. of Control Sci. & Eng., Shandong Univ., Jinan, China
  • fYear
    2014
  • fDate
    May 31 2014-June 2 2014
  • Firstpage
    3749
  • Lastpage
    3754
  • Abstract
    This paper considers when a potential networked evolutionary game (NEG) converges to a Nash equilibrium. First, based on the fundamental evolutionary equation, the profile dynamics of an NEG is revealed. Then we show that an NEG is potential, if the fundamental network game is. Finally, a sufficient condition for an NEG to converge to a Nash equilibrium is presented. An illustrative example is included to demonstrate the theoretical and numerical results.
  • Keywords
    convergence; evolutionary computation; game theory; network theory (graphs); NEG; Nash equilibrium; convergence; fundamental evolutionary equation; potential networked evolutionary games; Biology; Electronic mail; Games; Mathematical model; Nash equilibrium; Power system dynamics; Power system stability; Nash equilibrium; Networked evolutionary game; myopic best response adjustment rule (MBRAR); potential; semi-tensor product of matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (2014 CCDC), The 26th Chinese
  • Conference_Location
    Changsha
  • Print_ISBN
    978-1-4799-3707-3
  • Type

    conf

  • DOI
    10.1109/CCDC.2014.6852832
  • Filename
    6852832