Analysis and Design of Cognitive Radio Networks Using Game Theory
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Tools for Analyzing the
Interactions of Radios

several powerful techniques for analyzing the interactions of procedural cognitive radios based on the knowledge of an evolution function, d to determine steady-states, optimality, convergence, and stability. These models and the techniques for establishing if a cognitive radio network satisfies the conditions of the model are summarized in Table 3.1.

For these models, we can present analysis insights that can be gleaned by demonstrating that a procedural cognitive radio network satisfies the modeling conditions for one of the models listed in Table 3.1. The steady-state properties, the convergence properties, and the stability properties for each of these models are summarized in Table 3.2, Table 3.3, and Table 3.4, respectively. We also presented an approach to determining the desirability of network behavior –evaluation of a network objective function.

As we saw with the Standard Interference Function, sometimes cognitive radio networks satisfy the conditions of multiple models. In these cases, the analytic insights from each of the applicable multiple models are available. While this Chapter presents a significant number of useful analytic results, the reader should be aware that this Chapter was only able to include a brief treatment of these extensive models. In fact, many of these models have entire disciplines dedicated to their analysis and application.