MATLAB Program for Spectrum Allocation Based on Game Theory

In this document, we present a MATLAB program for spectrum allocation based on game theory principles. Over recent decades, the rapid development of wireless communication technologies has made spectrum resources extremely valuable. Consequently, efficient utilization of spectrum resources has become a prominent research area. Game theory serves as a powerful mathematical framework for analyzing decision-making processes, making it particularly suitable for addressing various resource allocation challenges, including spectrum allocation. We will explore how game theory models can be implemented to solve spectrum allocation problems, with detailed explanations of the MATLAB program's design and implementation architecture. The program utilizes key game theory concepts such as Nash equilibrium calculation through iterative algorithms and utility function optimization. Our discussion will cover all program modules, including the main allocation engine, user preference modeling, interference calculation functions, and convergence verification routines. Each module's functionality and implementation specifics will be explained, along with how they interoperate to form a complete spectrum allocation solution. The code incorporates matrix operations for efficient interference calculations and while-loop structures for equilibrium convergence detection. We provide comprehensive code annotations and practical usage examples to help readers understand the program's underlying mechanics. For researchers interested in further exploring spectrum allocation problems, this serves as a valuable reference with extensible modular design that allows for customization of utility functions and allocation constraints.