The paper defines first the concept of the new left by stressing that the concept of left has two parts: its political representation and its social basis. The problem is that the old social basis of left – proletariat – is gradually destructed, and new social basis becomes the lower (in the sense of income) part of society. The relative impoverishment of this lower part is the result of neoliberalism, that is the economic practice resulting from ideology that supposedly best economic solution is an absolute freedom of the action of entrepreneurs. Based on game theory, the paper shows that such a postulate is not a theoretical conclusion, but an ideology serving the interests of the richest people, and its application during recent forty years resulted in substantive stratifi cation of incomes in most societies. The paper presents also a short note on the future of migration, but next concentrates on the program slogans and an outline of the program of new left – since its political representation should be aware of the change of its social basis and address in its program the needs of the new basis.