{"product_id":"mathematical-programs-with-equilibrium-constraints-comprehensive","title":"Mathematical Programs with Equilibrium Constraints - Comprehensive","description":"\u003cp\u003eIn this review of Mathematical Programs with Equilibrium Constraints the reviewer finds a rigorous, research-oriented text best suited for graduate students and practitioners seeking a deep foundation in MPEC theory and algorithms. The single biggest reason to buy is its thorough treatment of error bounds, exact penalization and optimality conditions, which together create a coherent theoretical framework for applying MPEC to engineering and economics problems. This is a focused academic review rather than a casual introduction, and it highlights why the book matters for advanced study and applied research.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eSource problems described:\u003c\/strong\u003e The book surveys a wide range of engineering and economics problems that motivate use of MPEC, helping readers connect theory to real applications.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eError bounds and parametric analysis:\u003c\/strong\u003e These tools are developed in depth to underpin the book's theory of exact penalization and related constraint qualifications.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eOptimality conditions:\u003c\/strong\u003e First-order and second-order optimality conditions are presented systematically, providing a solid mathematical basis for analysis.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAlgorithmic approaches:\u003c\/strong\u003e Several iterative algorithms are described, including a penalty-based interior point method, an implicit programming algorithm, and a piecewise sequential quadratic programming algorithm for practical solution methods.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eTheoretical impact:\u003c\/strong\u003e Results are framed to influence disciplines such as engineering design and economics, giving the text relevance beyond pure mathematics.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eThis book is aimed at graduate students, researchers and applied mathematicians who already have familiarity with optimization theory and want a concentrated study of MPEC concepts, constraint qualifications and penalization techniques. It suits practitioners in engineering design and economic modeling who need rigorous methods to model equilibrium constraints within optimization problems.\u003c\/p\u003e\u003cp\u003eThose seeking an introductory textbook with extensive exercises or a light survey of optimization should look elsewhere; this is not a beginners' primer and assumes mathematical maturity and interest in proofs, parametric analysis and algorithmic detail.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eComprehensive theoretical development of \u003cstrong\u003eMPEC constraint qualifications\u003c\/strong\u003e and optimality conditions useful for research.\u003c\/li\u003e\n\u003cli\u003eClear linkage between source problems in engineering and economics and the MPEC methodology.\u003c\/li\u003e\n\u003cli\u003ePractical algorithm descriptions, including penalty-based interior point and sequential quadratic programming approaches.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003eThe presentation is dense and assumes advanced background, so it may be challenging for readers without prior optimization training.\u003c\/li\u003e\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eMathematical Programs with Equilibrium Constraints\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eZhi-Quan Luo, Jong-Shi Pang, Daniel Ralph\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrimary focus\u003c\/td\u003e\n\u003ctd\u003eTheory and algorithms for MPEC\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eKey topics\u003c\/td\u003e\n\u003ctd\u003eError bounds, parametric analysis, exact penalization\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAlgorithms described\u003c\/td\u003e\n\u003ctd\u003ePenalty-based interior point, implicit programming, piecewise SQP\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eTarget audience\u003c\/td\u003e\n\u003ctd\u003eGraduate students, researchers, applied mathematicians\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eMathematical Programs with Equilibrium Constraints is a strong, research-level volume that delivers deep theoretical insight and practical algorithm descriptions for MPEC. It is recommended for readers who need a rigorous foundation and intend to apply or extend MPEC techniques in engineering or economics; for them it represents good value as a reference and study resource.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eDoes this book cover practical algorithms for solving MPEC?\u003c\/strong\u003e\u003cbr\u003eYes, it describes several iterative algorithms such as a penalty-based interior point method, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs prior optimization knowledge required?\u003c\/strong\u003e\u003cbr\u003eYes, the text assumes mathematical maturity and familiarity with optimization concepts, so it is best for graduate students and researchers, not beginners.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWhat disciplines will benefit from this book?\u003c\/strong\u003e\u003cbr\u003eEngineering design and economics are explicitly cited as disciplines likely to benefit from the book's theoretical results and methodology.\u003c\/p\u003e","brand":"Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph","offers":[{"title":"Default Title","offer_id":48194159968475,"sku":"0521572908","price":160.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61lJ7Mx3V-L._SL1000.jpg?v=1769515221","url":"https:\/\/gearmusthave.com\/products\/mathematical-programs-with-equilibrium-constraints-comprehensive","provider":"GearMustHave","version":"1.0","type":"link"}