The concept of the inclusion map of game with preference relations into a game with payoff functions is introduced. Necessary and sufficient conditions of the embeddability of game in factor-game are indicated. A necessary condition and also sufficient conditions for the existence of the inclusion of game with preference relations into a game with payoff functions are found.
The paper proposes new methods developed to determine the length of time series adequate for the construction of an effective model used to predict its further values. In addition to theoretical statements, a numerical experiment was conducted to analyze the length of confidence intervals relating reliable estimates, which confirm the relevance of proposed methodology.
The approaches to make public production and economic potential of a territory ecologically friendly were made in this article. The necessity in potation reduction is strongly motivated in this article.