Cybernetics and Systems Analysis

, Volume 55, Issue 2, pp 306–312 | Cite as

Probabilistic Approach in the Problem of International Competition of Manufacturers with Random Variables

  • K. V. KosarevychEmail author
  • Ya. I. Yelejko


Game-theoretic models of manufacturers’ competition in the international market of a homogeneous product are constructed provided that the strategic variables of the manufacturers 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.


quantitative competition strategy problem of international trade game-theoretic model “corrected” Nash equilibrium 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Ivan Franko National University of LvivLvivUkraine

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