Kosarevych K.V., Yelejko Y.I.
Probabilistic approach in the problem of international competition of producers with random variables

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

Keywords: game-theoretic model, problem of international trade, quantitative competition, strategy, “corrected” Nash equilibrium, Competition, Computation theory, International trade, Manufacture, Random variables, Class of distributions, Existence of a solutions, Game-theoretic model, International competitions, International markets, Nash equilibria, Probabilistic approaches, strategy, Game theory

Cite:
Kosarevych K.V., Yelejko Y.I. (2019). Probabilistic approach in the problem of international competition of producers with random variables. Cybernetics and Systems Analysis, 55 (2), 155-162. doi: https://doi.org/10.1007/s10559-019-00135-6 http://jnas.nbuv.gov.ua/article/UJRN-0000968705 [In Ukrainian].