Bandwidth is an extremely valuable and scarce resource, and may become congested to accommodate diverse services in wireless communications. To enhance the efficiency of bandwidth usage, the concept of cognitive radio has emerged as a new design paradigm. Recently, S. Kim proposed a new Two-way Matching Game based Bandwidth Sharing (TMGBS) scheme for cognitive radio networks (Kim, 2013). Under dynamically changing network environments, the TMGBS scheme formulates the bandwidth sharing problem as a two-way matching game model. In addition, modified game theory is adopted to reach a near Pareto optimal solution while avoiding bandwidth inefficiency. This approach can make the system more responsive to the current network situation.