Mathematical Optimization and Economic Analysis (Springer Optimization and Its Applications Book 36)

"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling. Front Matter....Pages i-xii Front Matter....Pages 1-1 Scarcity and Efficiency....Pages 3-24 Kuhn–Tucker Conditions....Pages 25-58 Convex Programming....Pages 59-85 Linear Programming....Pages 87-134 Data Envelopment Analysis....Pages 135-186 Geometric Programming....Pages 187-210 Front Matter....Pages 211-211 Fundamentals of Multiobjective Optimization....Pages 213-241 Multiobjective Linear Programming....Pages 243-269 Multiobjective Geometric Programming....Pages 271-287 Back Matter....Pages 1-4