The article describes the main role models of power distribution in a family, formed as a result of economic domination of men or women. The evolution of the transformation of matriarchy, patriarchy and egalitarianism is revealed, social conditions, causing the changes in the regulatory elements of culture are analyzed: norms, values, stereotypes and traditions that affect the role attitudes to power dominance in a family. It is emphasized that economic equality between spouses at this stage

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... be carried out only in the partner family that is not currently distributed either in Russian society or in the world. In Russia this leads to the deepening of economic dependence of women from men. In many countries, e.g. in Scandinavia, it leads to active state participation in social policy as an artificial pater familias and as a result to the disintegration of traditional nuclear family.