On some properties of superposition of optimality principles on the space of TU-games

It's known, that by optimality principle on a given class of TU-games an operator that maps this class of games into itself can be understood. Since any additive game has only one imputation, then the optimality principle is said to be perfect, if it maps each game from a relevant space of games into an additive game [5]. The optimality principle, is called quasiperfect, if some of its degree is a perfect optimality principle. Further, we will describe the conditions under which a superposition of optimality principle with quasiperfect optimality principle is also a quasiperfect optimality principle.