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Table 5 Number of iterations required to achieve the budget allocation where the competitive equilibrium has balanced individual utilities by the iterative algorithm, 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

 

Iter*

Diff +

Iter

Diff

Iter

Diff

Iter

Diff

Iter

Diff

2

5

0.0076

10

0.0078

14

0.0079

18

0.0080

97

0.0080

4

4

0.0075

20

0.0079

27

0.0080

21

0.0080

74

0.0080

6

4

0.0077

9

0.0079

18

0.0080

22

0.0081

46

0.0081

8

4

0.0080

8

0.0078

40

0.0079

149

0.0081

33

0.0080

10

4

0.0080

13

0.0081

17

0.0079

57

0.0081

24

0.0080

12

4

0.0078

16

0.0080

35

0.0079

31

0.0080

29

0.0080

14

5

0.0078

8

0.0080

13

0.0079

21

0.0080

67

0.0080

16

5

0.0078

9

0.0080

12

0.0079

27

0.0080

48

0.0080

18

4

0.0076

6

0.0079

10

0.0078

18

0.0079

26

0.0080

20

4

0.0077

7

0.0078

8

0.0079

11

0.0079

20

0.0079

  1. *Iter: number of iterations
  2. +Diff: .