Generalization of the behavior selection model in socio-economic systems

In this article row of generalizations of behavior selection model in socio-economic system suggested by I.G. Pospelov is considered. In contrast to I.G. Pospelov's model process is considered in continuous time. Proposed models are described by systems with inheritance. They are analyzed basing on the mathematical theory of selection. Algorithm of behavior, which provides strategy selection with the best characteristics for any initial conditions, is proposed.