Spatially Distributed Differential Game Theoretic Model of Fisheries

Guennady Ougolnitsky and Anatoly Usov
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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

Mathematics, 2019, vol. 7, issue 8, 1-13

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.

Keywords: differential Stackelberg games; hierarchical control systems; qualitatively representative scenarios; simulation modeling; spatially distributed models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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