Skip to main content
Figure 13 | EURASIP Journal on Wireless Communications and Networking

Figure 13

From: Agent-based modeling of the cooperative spectrum management with insurance in cognitive radio networks

Figure 13

The preliminary analysis of the finite-size effects and phase transition scenario. The calculation has been carried out for Npu=10,20,40. The analysis of dependence [ stdev(p)]av(amoup)(a) yields rather small finite-size values (amoup)crit0.1 (for Npu=10), (amoup)crit0.14 (for Npu=20), (amoup)crit0.22 (for Npu=40) (these values are determined as bottoms of valleys). Much higher estimate 0.32 for Npu=40 stems from [ stdev(pr)]av(amoup)(b). In agreement with general point of view the simulations confirm that the form of statistical averages at the vicinity of the transition sharpen with Npu increasing. We can see that there are rather different characteristics with specific distinctions in the positions of the anomalies (valleys), which may serve as candidates for estimates of critical points (c,d,e,f). Because of the well-known technical difficulties in capturing of asymptotic value [25], we could not reliably determine (amoup)crit.

Back to article page