Research output: Contribution to journal › Article › peer-review
Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration. / Gromova, Ekaterina; Malakhova, Anastasiya; Palestini, Arsen.
In: Mathematics, Vol. 6, No. 9, 165, 09.2018.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration
AU - Gromova, Ekaterina
AU - Malakhova, Anastasiya
AU - Palestini, Arsen
PY - 2018/9
Y1 - 2018/9
N2 - A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.
AB - A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.
KW - differential games
KW - non zero-sum games
KW - cooperative games
KW - resource extraction
KW - random duration
KW - IDP procedure
KW - CONSISTENT SHAPLEY VALUE
KW - COOPERATIVE DIFFERENTIAL-GAMES
KW - TIME CONSISTENCY
KW - EVENT TREES
KW - ALLOCATION
KW - RESOURCE
U2 - 10.3390/math6090165
DO - 10.3390/math6090165
M3 - статья
VL - 6
JO - Mathematics
JF - Mathematics
SN - 2227-7390
IS - 9
M1 - 165
ER -
ID: 33282264