Linear Programming With Game Theory | By Saumitra Mukhopadhyay | 2nd Edition | Academic Publication ( English Medium ).
"Linear Programming with Game Theory" by Saumitra Mukhopadhyay is a detailed and conceptually rich textbook that bridges the fields of optimization and strategic decision-making. In its 2nd Edition, the book offers expanded explanations, revised content, and a greater focus on problem-solving approaches for both linear programming and game theory.
This book is particularly suited for students pursuing studies in operations research, applied mathematics, economics, and engineering management, and for professionals looking to gain analytical tools to model and solve optimization problems and strategic interactions.
Key Topics Covered:
Formulation of Linear Programming Problems
Graphical and Simplex Methods
Duality Theory and Sensitivity Analysis
Transportation and Assignment Problems
Integer and Goal Programming
Introduction to Game Theory
Two-Person Zero-Sum Games
Pure and Mixed Strategies
Saddle Points and Minimax Theorem
Application of Linear Programming in Game Theory
Key Features:
Integrated Approach: Combines linear programming and game theory in a unified framework
Conceptual Clarity: Provides step-by-step derivations and intuitive understanding of methods
Real-Life Applications: Includes examples from economics, logistics, and strategic planning
Problem Solving Focus: Offers numerous solved problems and exercises for practice
Student-Friendly: Designed to align with academic syllabi and exam requirements
Mathematical Rigor: Emphasizes both theoretical background and practical modeling skills
"Linear Programming with Game Theory" by Saumitra Mukhopadhyay is an ideal guide for anyone looking to master decision-making under constraints and competition, blending the precision of mathematics with the insights of strategy.
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