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Russian Academy of Sciences
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IssuesArchive of Issues2011-2pp.180-188

Archive of Issues

Total articles in the database: 1774
In Russian (): 975
In English (J. Appl. Math. Mech.): 799

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V.V. Mazalov and A.N. Rettiyeva, "The discrete-time bioresource sharing model," J. Appl. Math. Mech. 75 (2), 180-188 (2011)
Year 2011 Volume 75 Issue 2 Pages 180-188
Title The discrete-time bioresource sharing model
Author(s) V.V. Mazalov (Petrozavodsk, Russia, vmazalov@krc.karelia.ru)
A.N. Rettiyeva (Petrozavodsk, Russia, annaret@krc.karelia.ru)
Abstract The discrete-time game model of bioresource management is analysed. The centre (referee) shares a reservoir between the competitors, and the players (countries) harvest the fish stock in their territory. The cases of finite and infinite planning horizons are investigated, and Nash and cooperative equilibria are derived. A new type of equilibrium - cooperative incentive equilibrium, is investigated in which the centre punishes players for a deviation from the cooperative equilibrium by changing the harvesting territory. Some properties of the optimal strategies obtained are proved. A Computer simulation and a comparison of payoffs and population dynamics are carried out for different player behaviour scenarios.
Received 3 August 2009
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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