• DocumentCode
    2112955
  • Title

    Stochastic games and flow control models

  • Author

    Sennott, Linn I.

  • Author_Institution
    Dept. of Math., Illinois State Univ., Normal, IL, USA
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    3375
  • Abstract
    Studies zero-sum and nonzero-sum stochastic games on a countable state space and with nonnegative (possibly unbounded) costs. For zero-sum games, conditions are given for the existence of an optimal randomized stationary strategy pair in the discounted and average cost cases. For discounted and average cost nonzero-sum games, conditions are given for the existence of a randomized stationary strategy vector that is a Nash equilibrium. The results are applied to various flow control situations that may be modeled as stochastic games
  • Keywords
    decision theory; flow control; game theory; packet switching; set theory; telecommunication traffic; Nash equilibrium; average cost; countable state space; discounted cost; flow control models; nonnegative costs; nonzero-sum stochastic games; optimal randomized stationary strategy pair; randomized stationary strategy vector; zero-sum games; Bismuth; Control systems; Cost function; History; Infinite horizon; Mathematics; Nash equilibrium; State-space methods; Stochastic processes; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325837
  • Filename
    325837