Table 9 Comparisons of social utility and individual utility between competitive equilibrium(CE) with balanced individual utilities and Nash equilibrium(NE) under two tiers of channels, difference 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 | 9.02% | 81% | 9.86% | 73% | 10.01% | 69% | 8.85% | 67% | 9.62% | 67% |
4 | 7.68% | 80% | 7.67% | 78% | 8.30% | 77% | 8.54% | 71% | 8.23% | 71% |
6 | 6.06% | 87% | 6.55% | 81% | 6.87% | 77% | 7.43% | 76% | 7.16% | 75% |
8 | 5.56% | 88% | 6.24% | 81% | 6.41% | 78% | 6.80% | 76% | 6.75% | 75% |
10 | 5.46% | 87% | 6.12% | 84% | 6.18% | 80% | 6.47% | 77% | 6.38% | 75% |
12 | 5.66% | 88% | 5.75% | 84% | 5.88% | 80% | 5.94% | 79% | 6.38% | 77% |
14 | 5.65% | 91% | 6.01% | 85% | 5.65% | 82% | 5.80% | 81% | 5.86% | 77% |
16 | 5.63% | 92% | 5.84% | 89% | 5.75% | 83% | 5.86% | 82% | 5.70% | 79% |
18 | 5.78% | 94% | 5.84% | 88% | 5.80% | 83% | 5.81% | 83% | 5.54% | 80% |
20 | 5.66% | 94% | 5.58% | 88% | 5.77% | 86% | 5.72% | 81% | 5.63% | 80% |
- *Social:
- †Indiv: average percentage in number of users obtaining higher individual utilities in CE than in NE.
