Table 4 Comparisons of social utility and individual utility between competitive equilibrium(CE) with power demands 
and Nash equilibrium(NE), error tolerance = 0.01 and average of 100 simulation runs.
and Nash equilibrium(NE), error tolerance = 0.01 and average of 100 simulation runs.From: Budget Allocation in a Competitive Communication Spectrum Economy
No. of channels | No. of users | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Â | 2 | 4 | 6 | 8 | 10 | |||||
| Â | Social* | Â | Social | Indiv | Social | Indiv | Social | Indiv | Social | Indiv |
2 | 9.20% | 83% | 8.51% | 58% | 7.85% | 53% | 8.42% | 51% | 9.38% | 51% |
4 | 6.78% | 87% | 6.21% | 70% | 6.21% | 62% | 6.40% | 58% | 6.11% | 57% |
6 | 5.91% | 88% | 6.20% | 81% | 5.68% | 71% | 5.59% | 64% | 5.57% | 62% |
8 | 6.83% | 92% | 5.26% | 78% | 5.65% | 71% | 5.46% | 69% | 5.19% | 67% |
10 | 6.14% | 94% | 5.82% | 80% | 5.31% | 74% | 5.26% | 70% | 5.05% | 67% |
12 | 6.18% | 94% | 5.76% | 84% | 5.50% | 77% | 5.50% | 74% | 5.24% | 71% |
14 | 5.73% | 95% | 5.49% | 84% | 5.55% | 79% | 5.26% | 74% | 5.04% | 70% |
16 | 6.24% | 97% | 5.35% | 83% | 5.27% | 81% | 5.03% | 75% | 5.02% | 74% |
18 | 5.62% | 96% | 5.64% | 86% | 5.33% | 82% | 5.22% | 77% | 5.28% | 76% |
20 | 5.83% | 97% | 5.26% | 88% | 5.34% | 85% | 5.25% | 81% | 5.02% | 74% |
- *Social:
- †Indiv: average percentage in number of users obtaining higher individual utilities in CE than in NE.
