Linear programming and game theory are two powerful mathematical frameworks used to solve complex decision-making problems. When combined, they provide a systematic approach to optimization and strategic planning in economics, engineering, data science, and business management.

: Zero-sum games, saddle points, mixed strategies, and their relationship with linear programming. Internet Archive Accessing the Text Physical Copy

It provides clear computational frameworks for the Simplex method, Big-M method, and Two-Phase method. 2. Core Concepts in Linear Programming (LP)

Equal emphasis is placed on the geometric interpretation and algebraic computation of optimization models.

By normalizing the probabilities, the objective of maximizing