Automation and Remote Control

, Volume 80, Issue 6, pp 1164–1176 | Cite as

A Game-Theoretic Model of Agreement on Limitation of Transboundary Air Pollution

  • A. A. VasinEmail author
  • A. G. DivtsovaEmail author
Mathematical Game Theory and Applications


This paper considers a model of agreements for the problem of transboundary air pollution by industrial emissions. The interaction of countries is described by a repeated game with side payments. The aim is to find the existence conditions of a subgame perfect equilibrium that implements a Pareto-optimal strategy profile in each period of the game.


repeated game Nash equilibrium subgame perfect equilibrium Pareto-optimal strategy profile 


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A.A. Vasin acknowledges the support of the Russian Foundation for Basic Research, project no. 16-01-00353.


  1. 1.
    Vasin, A.A., Krasnoshchekov, P.S., and Morozov, V.V., Issledovanie operatsii (Operations Research), Moscow: Akademiya, 2008.Google Scholar
  2. 2.
    Vasin, A.A. and Morozov, V.V., Vvedenie v teoriyu igr s prilozheniyami dlya ekonomiki (Introduction to Game Theory with Applications to Economics), Moscow: MAKS Press, 2003.Google Scholar
  3. 3.
    Petrosyan, L.A., Stability of the Solutions in Differential Games with Several Players, Vestn. Leningrad. Univ., 1977, no. 19, pp. 46–52.Google Scholar
  4. 4.
    Rettieva, A.N., A Bioresource Management Problem with Different Planning Horizons, Autom., 2015, vol. 76, no. 5, pp. 919–934.MathSciNetGoogle Scholar
  5. 5.
    Chander, P. and Tulkens, H., The Core of an Economy with Multilateral Environmental Externalities, Int. J. Game Theory, 1997, vol. 26, pp. 372–401.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Halkos, G.E. and Hutton, J.P., Optimal Acid Rain Abatement Policy in Europe, MPRA, 2011, no. 33943.Google Scholar
  7. 7.
    Kaitala, V., Pohjola, M., and Tahvonen, O., Transboundary Air Pollution and Soil Acidification: A Dynamic Analysis of an Acid Rain Game between Finland and the USSR, Enviromn. Resource Econom., 1990, vol. 2, no. 2, pp. 161–181.zbMATHGoogle Scholar
  8. 8.
    Masoudi, N., Santugini, M., and Zaccour, G., A Dynamic Game of Emissions Pollution with Uncertainty and Learning, Centre Interuniversitaire sur le Risque, les Politiques Economiques et l'Emploi, 2015.Google Scholar
  9. 9.
    Petrosjan, L. and Zaccour, G., Time-consistent Shapley Value of Pollution Cost Reduction, J. Econom. Dynam. Control, 2003, pp. 381–398.Google Scholar
  10. 10.
    Petrosian, O., Looking Forward Approach in Cooperative Differential Games, IGTR, 2016, vol. 18, no. 2, pp. 1–14.MathSciNetzbMATHGoogle Scholar
  11. 11.
    Ploeg, F. and Zeeuw, A., International Aspects of Pollution Control, Eur. Assoc. Environm. Resource Econom., 1992, vol. 2, pp. 117–139.Google Scholar
  12. 12.
    Selten, R., Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games, Int. J. Game Theory, 1975, vol. 3, pp. 141–201.MathSciNetzbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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