The article is devoted to the discussion of the problems of constructing evolving multi-agent systems based on the use of the principles of evolutionary design and hybrid models. The concept of an agent is considered. A set of basic properties of the agent is presented. The analogies between multiagent and evolutionary systems are considered. The principles of construction and organization of multi- agent systems are considered. The similarities between the main definitions of the theory of agents and the theory of evolution are noted. It that the main evolution models and evolutionary algorithms can be successfully used in the design of multi-agent systems is noted. The analysis of existing methods andmethodologies for designing agents and multi-agent systems is carried out. The existing differences in approaches to the design of multi-agent systems are noted. The main types of models are described and their most important characteristics are given. A model of agent interaction, including a description of services (services), relationships and obligations existing between agents is presented. The model of relations (contacts), which defines communication links between agents is described. The importance and prospects of using the agent-based approach to the design of multi-agent systems are noted. The concept of designing agents and multi-agent systems, according to which the design process includes the basic components of self-organization, including the processes of interaction, crossing, adaptation to the environment, etc is proposed. Various approaches to the evolutionary design of artificial systems are considered. An evolutionary model of the formation of agents and agencies as the main component of evolutionary design is proposed. Modified evolutionary crossing-over operators to implement the agent design process are proposed.
