Globalization and technological changes provide the progress and simultaneously produce rupture between leading and developing economics, regions, and countries. Many poor countries have no possibility for adaptation and need the support. Theorems proved determine necessary and sufficient conditions of the definite direction of the financial and human capital flow between countries in the condition of global liberalization. These theorems give the principles and criterions for comparison and analysis of the national investment and migration attractiveness. These criterions are based on matrixes of the investment and migration attractiveness. Some of their parameters determine investment and migration climates. Choosing these climates it is possible to manage financial and human capital flows through the world to solve the problem of the global liberalization. The proved theorems also gives possibility to make synthesis of decentralized mechanism of global evolution regulation to provide necessary investment attractiveness and climate.