UDC 519.21
PROBABILISTIC APPROACH IN THE PROBLEM OF INTERNATIONAL COMPETITION
OF PRODUCERS WITH RANDOM VARIABLES
Abstract. Game-theoretical models of producers’ competition in the international market of a homogeneous product are constructed provided that the strategic variables of the producers are random. A class of distributions of random variables that guarantees the existence of a solution to non-cooperative games describing international trade is distinguished. Explicit formulas for the “corrected” Nash equilibrium are established in the constructed models.
Keywords: quantitative competition, strategy, problem of international trade, game-theoretical model, “corrected” Nash equilibrium.
FULL TEXT
REFERENCES
- Fakhretdinova V.A. Game-theoretic model of the international trade problem with uncertainty. Bulletin of PskovGU. Series: Natural, physical and mathematical sciences. 2014. № 5. P. 173–176.
- Cournot A. Researches into the mathematical principles of the theory of wealth. English edition of Cournot (1838) translated by N.T. Bacon. New York: A.M. Kelley, 1971. 213 p.
- Nash J. Equilibrium points in N-person games. Proc. Nat. Academ. Sci. USA (Jan. 15, 1950). 1950. Vol. 36, N 1, P. 48–49.
- Von Neumann J., Morgenstern E. Game Theory and Economic Behavior [Russian translation]. Moscow: Nauka, 1970. 708 p.
- Kosarevych K.V., Yelejko Ya.I. Game theoretic models of competition between producers with random product yields under duopoly of differentiated goods. Cybernetics and Systems Analysis. 2015. Vol. 51, N 4. P. 609–618.