Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players. / Kuzyutin, Denis; Skorodumova, Yulia; Smirnova, Nadezhda.
Mathematical Optimization Theory and Operations Research : 21st International Conference, MOTOR 2022, Proceedings. ed. / Panos Pardalos; Michael Khachay; Vladimir Mazalov. Springer Nature, 2022. p. 235-249 (Lecture Notes in Computer Science; Vol. 13367 ).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players
AU - Kuzyutin, Denis
AU - Skorodumova, Yulia
AU - Smirnova, Nadezhda
N1 - Kuzyutin, D., Skorodumova, Y., Smirnova, N. (2022). A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players. In: Pardalos, P., Khachay, M., Mazalov, V. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2022. Lecture Notes in Computer Science, vol 13367. Springer, Cham. https://doi.org/10.1007/978-3-031-09607-5_17
PY - 2022
Y1 - 2022
N2 - We derive a non-cooperative and cooperative strategies and state trajectories for a finite-horizon multistage game of renewable resource extraction with asymmetric players. Assuming transferable utility we extend the subgame perfect core concept introduced for extensive-form games to the class of n-person multistage games and specify an algorithm for choosing a unique payoff distribution procedure from the core in a two-player game. This quasi proportional payment schedule satisfies several good properties and could be applied to implement a cooperative solution based on the maximization of the relative benefit from cooperation (or the value of cooperation). We provide a numerical example to demonstrate the properties of the obtained solutions and the algorithm implementation.
AB - We derive a non-cooperative and cooperative strategies and state trajectories for a finite-horizon multistage game of renewable resource extraction with asymmetric players. Assuming transferable utility we extend the subgame perfect core concept introduced for extensive-form games to the class of n-person multistage games and specify an algorithm for choosing a unique payoff distribution procedure from the core in a two-player game. This quasi proportional payment schedule satisfies several good properties and could be applied to implement a cooperative solution based on the maximization of the relative benefit from cooperation (or the value of cooperation). We provide a numerical example to demonstrate the properties of the obtained solutions and the algorithm implementation.
KW - Cooperative solution
KW - Fishery-management model
KW - Multistage game
KW - Payoff distribution procedure
KW - Renewable resource extraction
KW - Subgame-perfect equilibrium
UR - http://www.scopus.com/inward/record.url?scp=85134154159&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/48a3dcd9-f47f-3e24-8e59-01948dae06e6/
U2 - 10.1007/978-3-031-09607-5_17
DO - 10.1007/978-3-031-09607-5_17
M3 - Conference contribution
AN - SCOPUS:85134154159
SN - 9783031096068
T3 - Lecture Notes in Computer Science
SP - 235
EP - 249
BT - Mathematical Optimization Theory and Operations Research
A2 - Pardalos, Panos
A2 - Khachay, Michael
A2 - Mazalov, Vladimir
PB - Springer Nature
T2 - 21st International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2022
Y2 - 2 July 2022 through 6 July 2022
ER -
ID: 99997815