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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ekaterina V. Gromova & Polina I. Barsuk & Shimai Su, 2021. "Strong Time-Consistency of a Core: An Application to the Pollution Control Problem in Eastern Siberia," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 1-14, December.
  • Handle: RePEc:wsi:igtrxx:v:23:y:2021:i:04:n:s0219198922500074
    DOI: 10.1142/S0219198922500074
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