Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Value of Cooperation in a Differential Game of Pollution Control. / Chebotareva, Angelina; Su, Shimai; Voronina, Elizaveta; Gromova, Ekaterina.
Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. ed. / Panos Pardalos; Michael Khachay; Vladimir Mazalov. Springer Nature, 2022. p. 221-234 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13367 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Value of Cooperation in a Differential Game of Pollution Control
AU - Chebotareva, Angelina
AU - Su, Shimai
AU - Voronina, Elizaveta
AU - Gromova, Ekaterina
N1 - Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG. Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - The paper studies a linear-quadratic pollution control model for which a term named value of cooperation (VC) subordinated to value of information (VI) is introduced. Namely, the quantification of possible benefit or loss occurring under the circumstance where the players choose to play the game in a cooperative way or refuse to act as a coalition is being presented. In the paper, the construction of VC consists of the Shapley value involving four various types of characteristic functions which steer the performance of normalized value of cooperation (NVC) toward quite similar direction and an elaborate analysis related to the actual scenario is ensuing. Both of characteristics (VC and NVC) are new in the field of game theory and can be further applied to a wide class of problems. Theoretical results are demonstrated with a numerical example on the basis of pollution data contributed by three local enterprises in Penza (City of Russia).
AB - The paper studies a linear-quadratic pollution control model for which a term named value of cooperation (VC) subordinated to value of information (VI) is introduced. Namely, the quantification of possible benefit or loss occurring under the circumstance where the players choose to play the game in a cooperative way or refuse to act as a coalition is being presented. In the paper, the construction of VC consists of the Shapley value involving four various types of characteristic functions which steer the performance of normalized value of cooperation (NVC) toward quite similar direction and an elaborate analysis related to the actual scenario is ensuing. Both of characteristics (VC and NVC) are new in the field of game theory and can be further applied to a wide class of problems. Theoretical results are demonstrated with a numerical example on the basis of pollution data contributed by three local enterprises in Penza (City of Russia).
KW - Differential game
KW - Pollution control
KW - Value of cooperation
KW - Value of information
UR - http://www.scopus.com/inward/record.url?scp=85134176443&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/878f35b7-f470-32ff-8e9e-8e82dc6c20fb/
U2 - 10.1007/978-3-031-09607-5_16
DO - 10.1007/978-3-031-09607-5_16
M3 - Conference contribution
SN - 9783031096068
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 221
EP - 234
BT - Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings
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: 98356928