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A Game-Theoretic Model of Pollution Control with Asymmetric Time Horizons. / Gromova, E.; Tur, Anna V.; Balandina, Lidiya I.
в: Contributions to Game Theory and Management, Том 9, 2016, стр. 170-179.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A Game-Theoretic Model of Pollution Control with Asymmetric Time Horizons
AU - Gromova, E.
AU - Tur, Anna V.
AU - Balandina, Lidiya I.
PY - 2016
Y1 - 2016
N2 - In the contribution a problem of pollution control is studied within the game-theoretic framework (Kostyunin et al., 2013; Gromova and Plekhanova, 2015; Shevkoplyas and Kostyunin, 2011). Each player is assumed to have certain equipment whose functioning is related to pollution control. The i-th player’s equipment may undergo an abrupt failure at time Ti . The game lasts until any of the players’ equipment breaks down. Thus, the game duration is defined as T= min(T1,...,Tn), where Ti is the time instant at which the i-th player stops the game. We assume that the time instant of the i-th equipment failure is described bytheWeibull distribution. According to Weibull distribution form parameter, we consider different scenarios of equipment exploitation, where each of player can be in “an infant”, “an adult” or “an aged” stage. The cooperative 2-player game with different scenarios is studied.
AB - In the contribution a problem of pollution control is studied within the game-theoretic framework (Kostyunin et al., 2013; Gromova and Plekhanova, 2015; Shevkoplyas and Kostyunin, 2011). Each player is assumed to have certain equipment whose functioning is related to pollution control. The i-th player’s equipment may undergo an abrupt failure at time Ti . The game lasts until any of the players’ equipment breaks down. Thus, the game duration is defined as T= min(T1,...,Tn), where Ti is the time instant at which the i-th player stops the game. We assume that the time instant of the i-th equipment failure is described bytheWeibull distribution. According to Weibull distribution form parameter, we consider different scenarios of equipment exploitation, where each of player can be in “an infant”, “an adult” or “an aged” stage. The cooperative 2-player game with different scenarios is studied.
KW - differential game
KW - cooperative game
KW - pollution control
KW - randomduration
KW - Weibull distribution
UR - https://elibrary.ru/item.asp?id=26404404
M3 - Article
VL - 9
SP - 170
EP - 179
JO - Contributions to Game Theory and Management
JF - Contributions to Game Theory and Management
SN - 2310-2608
ER -
ID: 7615918