• DocumentCode
    19983
  • Title

    Necessary and Sufficient Condition for Two-Player Stackelberg Strategy

  • Author

    Juanjuan Xu ; Huanshui Zhang ; Tianyou Chai

  • Author_Institution
    Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China
  • Volume
    60
  • Issue
    5
  • fYear
    2015
  • fDate
    May-15
  • Firstpage
    1356
  • Lastpage
    1361
  • Abstract
    This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control input, we present a necessary and sufficient condition for the existence and uniqueness of the two-player game. The optimal strategy is designed in terms of three decoupled and symmetric Riccati equations which improves the existing results greatly on computation.
  • Keywords
    game theory; control inpu tinformation; decoupled Riccati equations; necessary condition; open-loop Stackelberg strategy; sufficient condition; symmetric Riccati equations; two-player Stackelberg strategy; two-player game; Cost function; Games; Lead; Riccati equations; Vectors; Leader-follower; Riccati equation; Stackelberg strategy; necessary and sufficient condition;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2346460
  • Filename
    6874537
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=19983