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The aim of the conference is to bring together a wide research community in the fields of mathematical programming and global optimization, discrete optimization, complexity theory and combinatorial algorithms, games and their applications in relevant practical problems of operations research, mathematical economy and data analysis. MOTOR 2022 is the fourth international conference, bringing together four well-known Russian and international conferences which were held in Ural, Siberia, and the Far East for a long time. The modern problems of optimization theory and operations research, in particular, problems of theory of mathematical optimization, integer programming and combinatorial optimization, global optimization, stochastic integer programming, multi-objective programming, computational complexity of combinatorial optimization problems, approximation algorithms and schemes, heuristics and metaheuristics for decision making and artificial intelligence, game theory, mathematical economics, multilevel programming, optimization in machine learning and data analysis, applications in operations research: scheduling, routing, facility location, packing and cutting, supply chain, etc., will be discussed. Main topics: • theory of mathematical optimization • integer programming and combinatorial optimization • global optimization, stochastic integer programming, multi-objective programming • computational complexity of combinatorial optimization problems • approximation algorithms and schemes • heuristics and metaheuristics for decision making and artificial intelligence • game theory, mathematical economics, and multilevel programming • optimization in machine learning and data analysis • applications in operations research: scheduling, routing, facility location, packing and cutting, supply chain, etc.