Determination of probabilistic type intervals for constructing antagonistic game kernel defined on a hyperparallelepiped enclosed within the unit hypercube

Abstract

A method of constructing a definitional domain for the kernel of an antagonistic game is suggested. The domain is a hyperparallelepiped enclosed within the unit hypercube. The game is intended for reducing interval uncertainties, where a pure strategy component is between 0 and 1, but the sum of the components is always equal to 1. Such normalization allows to distribute capacities among “rooms” optimally, whose needs are uncertain and enclosed within intervals. In a special case, when the available capacity is not sufficient, an additional capacity that a room may need is found.