We construct a model of conflict dynamical system whose limit states are associated with singular distributions. It is proved that a criterion for the appearance of point spectrum in the limit distribution is the strategy with fixed priority. In all other cases, the limit distributions are pure singular continuous.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 12, pp. 1615–1624, December, 2018.
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Koshmanenko, V.D., Voloshyna, V.O. Limit Distributions for Conflict Dynamical System with Point Spectra. Ukr Math J 70, 1861–1872 (2019). https://doi.org/10.1007/s11253-019-01614-x
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DOI: https://doi.org/10.1007/s11253-019-01614-x