EURASIP Journal on Advances in Signal Processing

Table 6 Comparisons of CPU time (seconds) required to achieve the budget allocation where competitive equilibrium has balanced individual utilities between two approaches, difference tolerance = 0.01 and average of 10 simulation runs.

From: Budget Allocation in a Competitive Communication Spectrum Economy

No. of channels	No. of users
	2		4		6		8		10
			M1	M2	M1	M2	M1	M2	M1	M2
2	0.048	0.330	0.056	0.364	0.061	0.447	0.060	0.575	0.239	0.837
4	0.046	0.377	0.088	0.647	0.127	1.100	0.148	1.892	0.738	3.606
6	0.048	0.467	0.075	1.005	0.116	2.469	0.353	5.425	1.550	11.273
8	0.041	0.641	0.069	2.052	0.319	5.555	1.663	13.305	1.422	26.173
10	0.070	0.872	0.113	3.366	0.214	10.264	1.759	27.294	1.056	54.902
12	0.063	1.247	0.139	6.345	0.397	19.048	0.919	47.069	1.428	101.013
14	0.064	1.822	0.095	9.692	0.217	32.551	0.577	81.780	2.633	168.536
16	0.056	2.542	0.119	14.928	0.216	52.972	0.953	123.817	3.320	274.966
18	0.058	3.328	0.103	22.686	0.261	74.310	1.117	191.992	1.733	401.128
20	0.057	4.333	0.098	31.805	0.192	102.436	0.506	272.994	1.674	557.339

: iterative algorithm
: solving entire optimal conditions.

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