Strong Time-Consistency of a Core: An Application to the Pollution Control Problem in Eastern Siberia

Ekaterina V. Gromova, Polina I. Barsuk and Shimai Su
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Ekaterina V. Gromova: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii Prospekt 35, Petergof, Saint Petersburg 198504, Russia
Polina I. Barsuk: ��St. Petersburg School of Physics, Mathematics and Computer Science, Higher School of Economics, Kantemirovskaya Ulitsa 3/1A, Saint Petersburg 194100, Russia
Shimai Su: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii Prospekt 35, Petergof, Saint Petersburg 198504, Russia

International Game Theory Review (IGTR), 2021, vol. 23, issue 04, 1-14

Abstract: In this paper, we study the (strong) time-consistency property of the core for a linear-quadratic differential game of pollution control with nonzero absorption coefficient and real values of the model parameters. The values of parameters are evaluated based on the data for the largest aluminum enterprises of Eastern Siberia region of the Russian Federation for the year 2016. The obtained results are accompanied with illustrations.

Keywords: Cooperative differential games; strong time-consistency; core; Shapley value; pollution control (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0219198922500074

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