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A system of interpersonal relationship and its modeling in the form of finite noncooperative game is studied in this article by means of payoff functions. In such games for the main principle of optimality Nash’s Equilibrium Situation is acknowledged. The stages of development of Game Theory are analyzed including the modern situation. Two groups – nonsolidary and solidary of different behaviors characterized for the relationship are defined. The strategies of nonsolidary behavior characterized for the strategic relationships of the players are described and the strategies of solidary behavior are connected with negotiations and agreements. Teaching organization is defined as a management of S system comprising a P teacher (professor) and } ,..., 2 , 1 { n K  collective of pupils (students). Each participant of S system has its own interest and difference from each other. This situation gives us a ground to consider some aspects of Game Theory model for optimal management of S

Strategies of Nonsolidary Behavior in Teaching Organization