Mathematical Programming Problems with Equilibrium Constraints

This book provides a comprehensive and systematic treatment of MPECs, blending rigorous theory with practical relevance. This book provides a comprehensive and systematic treatment of MPECs, blending rigorous theory with practical relevance. It begins by motivating the subject through real-world applications in economics, engineering, and game theory, and then develops the mathematical foundations using tools from variational inequalities and complementarity theory. The book covers the full scope of mathematical programs with equilibrium constraints, from their theoretical foundations to practical applications. It begins with the basic principles of variational inequalities and complementarity, then develops new optimality conditions, constraint qualifications, and duality frameworks tailored to MPECs. The scope extends further to applied models in economics, engineering, and game theory, making the text both a rigorous reference for researchers and a valuable resource for practitioners who seek to model and solve equilibrium-driven optimization problems. The book shows promise not only as a research monograph but also as a graduate-level textbook. Its systematic development of theory makes it highly suitable for advanced courses in optimization and equilibrium problems.