The search for the most effective political and economic development model for Russia has become extremely relevant to our social science in connection with the refusal of the socialist path of development. This process of refusal continues for nearly quarter of a century, but it's still not accepted to speak that our country has chosen the capitalist path of development. Instead of this it's usually used an euphemism "market economy". However, question on expediency the capitalist path of development has long been questioned by leading representatives of the world's economic, political and intellectual elite. During the annual forums in Davos (Switzerland), it was proposed to use the experience of China, which had achieved outstanding success by combining methods and practices of capitalism and socialism. China clearly shows that, currently, categories such as capitalism and socialism, cease to exist in their pure form. The article discusses the issues associated with the revival of the ideas of convergence, which was advocated by academicians A. I. Saharov and E. М. Primakov in our country. The author analyzes the concrete problems of using a converged model in the Russian Federation.