Spatially Distributed Differential Game Theoretic Model of Fisheries

Autor: Guennady Ougolnitsky, Anatoly Usov
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematics, Vol 7, Iss 8, p 732 (2019)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math7080732
Popis: 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.
Databáze: Directory of Open Access Journals
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