Problem of optimal strategy in the models of conflict redistribution of the resource space

  • I. V. Verigina
  • V. D. Koshmanenko Iн-т математики НАН України, Київ

Abstract

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.
Published
25.07.2017
How to Cite
VeriginaI. V., and KoshmanenkoV. D. “Problem of Optimal Strategy in the Models of conflict redistribution of the Resource Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 7, July 2017, pp. 905-11, http://umj.imath.kiev.ua/index.php/umj/article/view/1745.
Section
Research articles