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Spatially Distributed Differential Game Theoretic Model of Fisheries

Author

Listed:
  • Guennady Ougolnitsky

    (I.I. Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, 8A Milchakov St., 344090 Rostov-on-Don, Russia)

  • Anatoly Usov

    (I.I. Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, 8A Milchakov St., 344090 Rostov-on-Don, Russia)

Abstract

We consider a differential game of fisheries in a fan-like control structure of the type “supervisor—several agents”. The dynamics of the controlled system is described by a non-linear differential equation model which is identified on the Azov Sea data. An averaging by two spatial coordinates is conducted. Different information structures of the game are generated by the control methods of compulsion (supervisor restricts the feasible strategies of agents) and impulsion (she exerts an impact to their payoff functionals). Both Stackerlberg and inverse Stackelberg games are considered. For the numerical investigation we use a discretization of the initial model and the method of qualitatively representative scenarios in simulation modeling.

Suggested Citation

  • Guennady Ougolnitsky & Anatoly Usov, 2019. "Spatially Distributed Differential Game Theoretic Model of Fisheries," Mathematics, MDPI, vol. 7(8), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:732-:d:256701
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    References listed on IDEAS

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