Modern models of competition and its assessment methods in social and economic systems

It is a well-known fact that fair competition is beneficial to producer, consumer, and society as a whole. It plays a key role in developing the economy, technology, fields of human and societal activity that makes it necessary to find its new modeling and assessment methods. The purpose of the study is to create mathematical models and objective assessment method of competition in major social and economic systems. The research identifies the new quantitative indicators describing the level and effectiveness of competition. The novel universal approach can be applied to any scope of human activity and any social and economic system at the regional, federal, and state level. The study was mainly conducted by methods of set theory, mathematical statistics (scree plot method), and latent variables. The system, qualimetric, probabilistic and statistical approaches served as its methodological basis.