Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Great fish war with moratorium. / Dahmouni, Ilyass; Parilina, Elena M.; Zaccour, Georges.
в: Mathematical Biosciences, Том 355, 108939, 01.2023.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Great fish war with moratorium
AU - Dahmouni, Ilyass
AU - Parilina, Elena M.
AU - Zaccour, Georges
N1 - Publisher Copyright: © 2022 Elsevier Inc.
PY - 2023/1
Y1 - 2023/1
N2 - We consider a discrete-time version of the fish war model, where a regulator imposes a moratorium on fishing activities whenever the stock reaches a predetermined critical low value. The moratorium will be in place until the fish stock recovers, that is, attains a desirable value. We obtain conditions on the parameter values such that a moratorium could be avoided, and its optimal duration when its imposition is deemed necessary. When the players cannot avoid a moratorium under both cooperative and noncooperative modes of play, we propose a moratorium-free strategy profile that matches under some conditions the Nash equilibrium in linear-state strategies. We illustrate our results with some numerical examples.
AB - We consider a discrete-time version of the fish war model, where a regulator imposes a moratorium on fishing activities whenever the stock reaches a predetermined critical low value. The moratorium will be in place until the fish stock recovers, that is, attains a desirable value. We obtain conditions on the parameter values such that a moratorium could be avoided, and its optimal duration when its imposition is deemed necessary. When the players cannot avoid a moratorium under both cooperative and noncooperative modes of play, we propose a moratorium-free strategy profile that matches under some conditions the Nash equilibrium in linear-state strategies. We illustrate our results with some numerical examples.
KW - Dynamic games
KW - Fish war
KW - Moratorium
KW - Regulation policy
UR - http://www.scopus.com/inward/record.url?scp=85142771567&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/36d1b875-0799-3999-bc16-27bd18de01fc/
U2 - 10.1016/j.mbs.2022.108939
DO - 10.1016/j.mbs.2022.108939
M3 - Article
C2 - 36375599
AN - SCOPUS:85142771567
VL - 355
JO - Mathematical Biosciences
JF - Mathematical Biosciences
SN - 0025-5564
M1 - 108939
ER -
ID: 101126316