 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| 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 horizon’s 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 |
03 August 2009 |
| Link to Fulltext |
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