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Non-Renewable Resource Extraction Model with Uncertainties. / Е, Пэйчэнь; Тур, Анна Викторовна; Ву, Ийлунь.
в: Games, Том 16, № 5, 52, 09.10.2025.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Non-Renewable Resource Extraction Model with Uncertainties
AU - Е, Пэйчэнь
AU - Тур, Анна Викторовна
AU - Ву, Ийлунь
PY - 2025/10/9
Y1 - 2025/10/9
N2 - This paper delves into a multi-player non-renewable resource extraction differential game model, where the duration of the game is a random variable with a composite distribution function. We first explore the conditions under which the cooperative solution also constitutes a Nash equilibrium, thereby extending the theoretical framework from a fixed duration to the more complex and realistic setting of random duration. Assuming that players are unaware of the switching moment of the distribution function, we derive optimal estimates in both time-dependent and state-dependent cases. The findings contribute to a deeper understanding of strategic decision-making in resource extraction under uncertainty and have implications for various fields where random durations and cooperative strategies are relevant.
AB - This paper delves into a multi-player non-renewable resource extraction differential game model, where the duration of the game is a random variable with a composite distribution function. We first explore the conditions under which the cooperative solution also constitutes a Nash equilibrium, thereby extending the theoretical framework from a fixed duration to the more complex and realistic setting of random duration. Assuming that players are unaware of the switching moment of the distribution function, we derive optimal estimates in both time-dependent and state-dependent cases. The findings contribute to a deeper understanding of strategic decision-making in resource extraction under uncertainty and have implications for various fields where random durations and cooperative strategies are relevant.
KW - differential game
KW - minimax problem
KW - non-renewable resource extraction
KW - random duration
KW - uncertainty
UR - https://www.mendeley.com/catalogue/5170cfe5-9a3d-3f6f-8e0b-548b4c2b35b2/
U2 - 10.3390/g16050052
DO - 10.3390/g16050052
M3 - Article
VL - 16
JO - Games
JF - Games
SN - 2073-4336
IS - 5
M1 - 52
ER -
ID: 142289884