Abstract:

Summarizes the series of studies based on game-theoretic modeling of geopolitical environmentaleconomic interactions using the theory of games with a hierarchical vector of interests of I. A. Vatel and Y. B. Germeyer. The main results of the conducted researches are formulated and generalized, possibilities of application of the received results are considered. The paper presents an algorithm for determining the strong Nash equilibrium in games with a hierarchical vector of interests from the two components (economic benefits of the player and reduce the environmental damage of all players), randomly but monotonically dependent on one variable (from energy consumption or other). The results can be used to justify a wide variety of environmental constraints.

Keywords:

game theory, operations research, ecology, Economics, geopolitics, games with a hierarchical vector of interests, Kyoto Protocol.

PP. 72-76.

 References

1. Germeyer Y.B., Vatel I.A. 1974. Games with a hierarchical vector of interests. Technical Cybernetics 3:54-69.
2. Kononenko A.F., Shevchenko V.V. 2009. Linear game model of mechanisms of Kyoto Protocol decisions implementation. Trudy of the third international conference” System analysis and information technologies” [SAIT-2009 Proceedings]. Zvenigorod, Russia. 608-615.
3. Kononenko A.F., Shevchenko V.V. 2009. Economic assessment of the political decision within the “Kyoto Protocol”. Trudy of the international scientific and practical conference “management of large systems” [“UBS’ 2009” IPU RAS Proceedings]. Moscow. 115-118.
4. Kononenko A.F., Shevchenko V.V. 2009. Game-Theoretic models of mechanisms of Kyoto Protocol implementation. Trudy of the Fourth international conference on management [IPU RAS]. Moscow. 970-974.
5. Kononenko A.F. 2010. Game-Theoretic analysis of ecological and economic systems. Trudy of the fourth international scientific conference “Modern problems of mathematical modeling, forecasting and optimization” [the fourth international scientific conference “OPTIMA 2010” Proceedings]. Kamianets-Podilskyi. 109-117.
6. Kononenko A.F., Shevchenko V.V. 2010. On possibilities of game-theoretic approach to determination of ecological character restrictions. Trudy of the fourth international conference “Management of large-scale systems development” [the fourth international conference “MLSD’2010” Proceedings]. Moscow. 256-262.
7. Kononenko A.F., Shevchenko V.V. eds. 2013. Operational games. Theory and applications. Moscow: CC RAS 136 p.