Application of Game Theory in the Analysis of Economic and Political Interaction at the International Level

Authors

  • Pavel V. Konyukhovskiy Saint Petersburg State University
  • Victoria V. Holodkova Saint Petersburg State University

Abstract

The main objective of the work is to consider possible approaches to the application of the theory of cooperative games for the simulation of the relationship between the major centers of economic and political influence in the modern world.

The authors discuss three main interval repositioning of political forces in the world until 2008, from 2008 to 2014 and after 2014. Model presented in the building on political cooperation are intended to reflect the economic component of this interaction on the world market.

The results are subject to more detailed content analysis. Special attention is paid to the issues of construction of characteristic functions for cooperative games, the underlying model «interaction of the centers of political forces». In particular, the technique of construction of characteristic function, involving the use of baskets, constructible on currencies of countries coming together in a coalition.

Keywords:

cooperative games, cooperative models interaction of the international centers of power, stochastic cooperative games, imputations, Shapley value

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References

Aleskerov, F.T., Kravchenko, A. S. (2008). The distribution of influence in the government of the Russian Empire Dumas. Polit 3(50).

Bubenko, E.A., Hovanov, N.V. (2012). Using the aggregate economic benefits of constant values for the hedging of exchange risks. Management of economic systems 12. (Electronic scientific journal http://uecs.ru/instrumentalnii-metody-ekonomiki/).

Heydarov, N.A. (2008). Geopolitical ”triangle” Russia-China-US in Eurasia. Magazine ”Explorer.” February 2.

Grinin, L.E. (2013). Globalization of the world shuffles a deck (which shifted the global economic and political balance). In: Age of Globalization (Grinin, L.E.), 2(12), 63–78.

Dergachov, V.A. (2011). The geopolitical theory of large multi-dimensional spaces. Publishing Project Professor Dergacheva.

Dergachov, V.A. (2005). Global Studies. School edition. M.: UNITY-DANA.

Ignatov, T.V., Podolsky, T.V. (2014). The possibilities of global governance of the world financial system: realities and prospects. In: Age of Globalization 2 (Ignatov, T.V.), 119–128.

Konyukhovskiy, P.V. (2012). The use of stochastic cooperative games in the justification of investment projects. In: Vestnik St.Petersburg University. Univ. Ser. 5 ”Economy”., 2(124) (December), 134–143.

Pechersky, S. L. Yanovskaya, E.B. (2004). Cooperative Games: solutions and axioms.. SPb.: Publishing House of Europe. U. of St. Petersburg.

Sokolov, A.V. (2008). Quantitative methods of assessing the impact of participating in the collective decision-making.. Polit, 4(51).

Hovanov, N.V. (2005). Measuring the exchange value of economic benefits in terms of aggregated stable currency. In: Finance and business., 2, 33–43.

Hovanov, N.V. (2005). The phenomenological theory of stable meta-money. In: Finance and business., 4, 18–21.

Banzhaf, J. F. (1965). Weighted voting does not work: a mathematical analysis. In: Rutgers Law Review, 19, 317–343.

Charnes, A., Granot, D. (1977). Coalitional and Chance-Constrained Solutions to n-Person Games, II: Two-Stage Solutions. In: Operation Research, Vol. 25, Issue 6, pp. 1013–1019.

Charnes, A., Granot, D. (1973). Prior solutions: extensions of convex nucleolus solutions to chance-constrained games. In: Symposium at Ioonvex nucleolus solutions to chance-constrained games. wa University:, pp. 1013–1019.

Coleman, J. S. (1971). Control of Collectivities and the Power of a Collectivity to Act. In: B. Lieberman (ed.) Social Choice, New York: Gordon and Breach:, pp. 269–300.

Deegan, J., Packel, E.W. (1978). A New Index of Power for Simple n-Person Games. In: International Journal of Game Theory-2, 7.

Holler, M. J., Packel, E.W. (1983). Power, Luck and the Right Index. In: Journal of Economics, 43.

Hovanov, N.V., Kolari, J.W., Sokolov, M.V. (2004). Computing currency invariant indices with an application to minimum variance currency baskets. In: Computing currency invariant indices with an application to minimum variance currency baskets, 28, 1481–1504.

Johnston, R. J. (1978). On the Measurement of Power: Some Reactions to Laver. In: Environment and Planning., 10.

Liu, J., David, H.A. (1989). Quantiles of Sums and Expected Values of Ordered Sums. In: Austral J. Statist., 31(3), 469–474.

Penrose, L. S. (1946). The Elementary Statistics of Majority Voting. In: Journal of the Royal Statistical Society, 109, 53–57.

Rae, D.W. (1946). Decision-Rules and Individual Values in Constitutional Choice. In: American Political Science Review, 63, 40–63.

Shapley, L., Shubik, M.A. (1954). Method for Evaluating the Distribution of Power in a Committee System. In: American Political Science Review, 3(48).

Schmeidler, D. (1969). The nucleolus of a characteristic function game. In: SIAM Journal of Applied Mathematics, 17(6), 1163–1170.

Suijs, J., Born, P. (1999). Stochastic Cooperative Games: Superadditivity, Convexity, and Certainty Equivalents. In: Games and Economic Behavior, 27, 331–345.

Suijs, J., Born, P. (1999). A nucleolus for stochastic operative games. In: A nucleolus for stochastic operative games, pp. 152–181.

Suijs, J., Borm, P., De Waegenaere, A., Tijs, S., (1999). Cooperative games with stochastic payoffs. In: European Journal of Operational Research, 113(1), 193–205.

Watson, R., Gordon, L. (1986). On Quantiles of Sums. In: Austral J. Statist, 28(2), 192–199.

Yeung, D.W.K., Petrosyan, L.A. ‘(2006). Cooperative Games: solutions and axioms.. SPb.: Publishing House of Europe. U. of St. Petersburg.

Yeung, D.W.K., Petrosyan, L.A. (2004). Subgame consistent cooperative solutions in

stochastic differential games. In:J.Optimiz. Theory and Appl., 120(3), 651–666.

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Published

2022-04-17

How to Cite

V. Konyukhovskiy, P., & V. Holodkova, V. (2022). Application of Game Theory in the Analysis of Economic and Political Interaction at the International Level. Contributions to Game Theory and Management, 10. Retrieved from https://gametheory.spbu.ru/article/view/13257

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