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Existence theorems of the \(\omega\)-limit states for conflict dynamical systems. (English) Zbl 1324.37039

The paper continues the series of publications by the authors on dynamical systems describing conflict phenomena; see, for example, [the author, Math. Methods Oper. Res. 59, No. 2, 303- 313 (2004; Zbl 1106.91015); Ukr. Math. J. 63, No. 2, 222–235 (2011; Zbl 1264.81204)]. Here the author considers transformations of pairs of probability measures \((\mu_N,\nu_N)\), and for some iterative procedures, studies the limit behavior, as \(N\to \infty\), of trajectories including the existence of limit states.

MSC:

37N40 Dynamical systems in optimization and economics
91A15 Stochastic games, stochastic differential games
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