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Published in:
26-11-2021 | Correction
Correction to: Weighted scoring elections: is Borda best?
Published in: Social Choice and Welfare | Issue 2/2022
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Excerpt
In the original publication of the article, some of the data in Tables 5 and 7 were wrong. The correct Tables 5 and 7 should read as given below.
Table 5
Condorcet efficiency of Borda variants
|
Case
|
I3
|
I2
|
L3
|
I
|
L2
|
Cv
|
I/2
|
L
|
I/3
|
L/2
|
L/3
|
|---|---|---|---|---|---|---|---|---|---|---|---|
|
3-IAC
|
88.57
|
89.49
|
90.25
|
92.27
|
92.27
|
92.53
|
91.48
|
91.48
|
85.90
|
81.83
|
76.47
|
|
3-IC
|
78.51
|
79.06
|
80.90
|
85.81
|
85.81
|
88.76
|
91.12
|
91.12
|
87.69
|
85.57
|
82.46
|
|
3-Spa
|
62.50
|
66.03
|
71.20
|
80.86
|
80.86
|
87.86
|
83.44
|
83.44
|
66.84
|
59.66
|
53.66
|
|
4-IAC
|
75.43
|
77.64
|
83.06
|
84.27
|
86.55
|
88.21
|
88.02
|
87.80
|
84.00
|
78.20
|
71.73
|
|
4-IC
|
67.32
|
70.10
|
76.81
|
78.78
|
82.10
|
85.59
|
86.31
|
87.01
|
84.38
|
80.84
|
76.33
|
|
4-Spa
|
46.33
|
50.53
|
62.97
|
68.66
|
76.75
|
87.37
|
88.04
|
87.19
|
80.03
|
74.99
|
73.68
|
|
5-IAC
|
63.08
|
66.30
|
77.13
|
76.23
|
82.54
|
85.04
|
84.27
|
85.41
|
83.05
|
77.88
|
70.76
|
|
5-IC
|
60.12
|
63.79
|
74.97
|
74.48
|
80.93
|
84.49
|
84.03
|
86.31
|
83.68
|
79.63
|
73.63
|
|
5-Spa
|
35.47
|
39.63
|
56.75
|
58.16
|
72.57
|
82.36
|
82.35
|
76.84
|
80.09
|
58.35
|
54.32
|
|
6-IAC
|
53.70
|
57.81
|
72.40
|
69.76
|
78.65
|
82.74
|
81.33
|
84.10
|
81.52
|
76.28
|
68.61
|
|
6-IC
|
53.84
|
57.70
|
73.26
|
69.77
|
79.56
|
83.01
|
81.43
|
84.52
|
81.53
|
77.29
|
70.27
|
|
6-Spa
|
29.22
|
32.62
|
52.03
|
49.70
|
70.73
|
82.89
|
75.99
|
80.09
|
80.63
|
66.17
|
63.73
|
Table 7
Standard Borda versus Cervone
|
Standard Borda (L)
|
Cervone (Cv)
|
||||||||
|---|---|---|---|---|---|---|---|---|---|
|
Case
|
F
|
G
|
CE
|
E[D]
|
PMax
|
G
|
CE
|
E[D]
|
PMax
|
|
3-IAC
|
94.05
|
86.04
|
91.48
|
0.1603
|
91.98
|
87.00
|
92.53
|
0.142
|
92.98
|
|
3-IC
|
91.80
|
83.65
|
91.12
|
0.1631
|
91.85
|
81.06
|
88.76
|
0.206
|
89.74
|
|
3-Spa
|
100
|
83.44
|
83.44
|
0.3312
|
83.44
|
87.86
|
87.86
|
0.251
|
87.86
|
|
4-IAC
|
83.77
|
73.55
|
87.80
|
0.2261
|
89.17
|
73.86
|
88.21
|
0.222
|
89.50
|
|
4-IC
|
82.69
|
71.95
|
87.01
|
0.2402
|
88.48
|
70.72
|
85.59
|
0.276
|
87.11
|
|
4-Spa
|
100
|
87.19
|
87.19
|
0.2562
|
87.19
|
87.37
|
87.37
|
0.294
|
87.37
|
|
5-IAC
|
76.68
|
65.49
|
85.41
|
0.2952
|
86.49
|
65.10
|
85.04
|
0.312
|
85.91
|
|
5-IC
|
75.22
|
64.92
|
86.31
|
0.2809
|
87.15
|
63.29
|
84.49
|
0.326
|
85.49
|
|
5-Spa
|
100
|
76.84
|
76.84
|
0.5189
|
76.84
|
82.36
|
82.36
|
0.435
|
82.36
|
|
6-IAC
|
67.69
|
56.93
|
84.10
|
0.3522
|
84.63
|
55.99
|
82.74
|
0.391
|
83.33
|
|
6-IC
|
68.43
|
57.84
|
84.53
|
0.3413
|
85.18
|
56.81
|
83.01
|
0.389
|
83.60
|
|
6-Spa
|
100
|
80.09
|
80.10
|
0.4543
|
80.10
|
82.89
|
82.89
|
0.437
|
82.89
|