Table 8 Comparisons of social utility and individual utility between competitive equilibrium (CE) with balanced individual utilities and Nash equilibrium (NE), 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 | 0.96% | 46% |
| 45% |
| 47% |
| 48% |
| 48% |
4 | 1.05% | 55% | 0.83% | 53% | 0.42% | 50% | 0.01% | 48% |
| 48% |
6 | 1.14% | 56% | 0.08% | 50% |
| 48% |
| 48% | 0.01% | 49% |
8 | 1.27% | 58% | 0.66% | 57% | 0.17% | 51% | 0.00% | 49% | 0.19% | 52% |
10 | 1.15% | 61% | 0.88% | 58% | 0.52% | 54% | 0.22% | 52% |
| 53% |
12 | 1.35% | 66% | 0.78% | 57% | 0.50% | 56% | 0.39% | 54% | 0.16% | 52% |
14 | 1.43% | 67% | 0.85% | 60% | 0.28% | 55% | 0.10% | 52% | 0.16% | 54% |
16 | 1.60% | 75% | 0.88% | 60% | 0.42% | 55% | 0.30% | 54% | 0.29% | 55% |
18 | 1.63% | 72% | 0.71% | 59% | 0.34% | 54% | 0.14% | 55% | 0.16% | 52% |
20 | 1.50% | 73% | 0.80% | 59% | 0.30% | 56% | 0.11% | 54% | 0.17% | 54% |
0.59%
0.41%
0.34%
0.44%
0.42%
0.15%
0.08%
0.08%- *Social:
- †Indiv: average percentage in number of users obtaining higher individual utilities in CE than in NE.
