• DocumentCode
    3701413
  • Title

    Dynamic stability of the Shapley value in the differential resource extraction game

  • Author

    Dmitriy Ershov

  • Author_Institution
    St. Peterburg State University, 7/9, Universitetskaya nab., 199034, Russia
  • fYear
    2015
  • Firstpage
    237
  • Lastpage
    239
  • Abstract
    The problem of limited resource extraction by two firms often occurs in practice. Both firms try to maximize their income. This issue has been thoroughly investigated in [2]. The difficulty lies in the fact that the model uses a system of differential equations, which do not have analytic solution. In this paper, an attempt was made to improve the model in order to the obtained systems with analytic solution, which could be analyzed.
  • Keywords
    "Games","Mathematical model","Companies","Trajectory","Stability analysis","Analytical models","Differential equations"
  • Publisher
    ieee
  • Conference_Titel
    "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
  • Type

    conf

  • DOI
    10.1109/SCP.2015.7342114
  • Filename
    7342114
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3701413