The theory of conflict dynamical systems is applied to finding of the optimal strategy in the problem of redistribution of the
resource space between two opponents. In the case of infinite fractal division of the space, we deduce an explicit formula
for finding the Lebesgue measure of the occupied territory in terms of probability distributions. In particular, this formula
gives the optimal strategy for the occupation of the whole territory. The necessary and sufficient condition for the parity
distribution of the territory are presented.
Citation Example:Koshmanenko V. D., Verigina I. V. Problem of optimal strategy in the models of conflict
redistribution of the resource space // Ukr. Mat. Zh. - 2017. - 69, № 7. - pp. 905-911.