Table 2. The Thirty Problems Studied in Experiment 1.
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|
B-rate |
|||||||||||||||
|
Option A |
Option B |
Lottery |
No-FB |
With-FB |
|||||||||||
|
Prob. |
H |
pH |
L |
H |
pH |
L |
Num |
Shape |
Corr. |
Amb |
1 |
2 |
3 |
4 |
5 |
|
1 |
3 |
1 |
3 |
4 |
0.8 |
0 |
1 |
- |
0 |
0 |
.42 |
.57 |
.57 |
.60 |
.65 |
|
2 |
3 |
0.25 |
0 |
4 |
0.2 |
0 |
1 |
- |
0 |
0 |
.61 |
.62 |
.62 |
.64 |
.62 |
|
3 |
-1 |
1 |
-1 |
0 |
0.5 |
-2 |
1 |
- |
0 |
0 |
.58 |
.60 |
.60 |
.58 |
.56 |
|
4 |
1 |
1 |
1 |
2 |
0.5 |
0 |
1 |
- |
0 |
0 |
.35 |
.51 |
.54 |
.50 |
.54 |
|
5 |
-3 |
1 |
-3 |
0 |
0.2 |
-4 |
1 |
- |
0 |
0 |
.49 |
.46 |
.42 |
.38 |
.36 |
|
6 |
0 |
0.75 |
-3 |
0 |
0.8 |
-4 |
1 |
- |
0 |
0 |
.38 |
.40 |
.40 |
.42 |
.41 |
|
7 |
-1 |
1 |
-1 |
0 |
0.95 |
-20 |
1 |
- |
0 |
0 |
.48 |
.63 |
.62 |
.62 |
.64 |
|
8 |
1 |
1 |
1 |
20 |
0.05 |
0 |
1 |
- |
0 |
0 |
.39 |
.38 |
.33 |
.34 |
.29 |
|
9 |
1 |
1 |
1 |
100 |
0.01 |
0 |
1 |
- |
0 |
0 |
.47 |
.40 |
.39 |
.39 |
.39 |
|
10 |
2 |
1 |
2 |
101 |
0.01 |
1 |
1 |
- |
0 |
0 |
.55 |
.45 |
.43 |
.42 |
.42 |
|
11 |
19 |
1 |
19 |
20 |
0.9 |
-20 |
1 |
- |
0 |
0 |
.13 |
.22 |
.21 |
.20 |
.21 |
|
12 |
0 |
1 |
0 |
50 |
0.5 |
-50 |
1 |
- |
0 |
0 |
.34 |
.41 |
.43 |
.44 |
.38 |
|
13a |
0 |
1 |
0 |
50 |
0.5 |
-50 |
1 |
- |
0 |
0 |
.36 |
.37 |
.40 |
.37 |
.36 |
|
14 |
0 |
1 |
0 |
1 |
0.5 |
-1 |
1 |
- |
0 |
0 |
.49 |
.45 |
.42 |
.41 |
.38 |
|
15 |
7 |
1 |
7 |
50 |
0.5 |
1 |
1 |
- |
0 |
0 |
.78 |
.84 |
.88 |
.83 |
.85 |
|
16 |
7 |
1 |
7 |
50 |
0.5 |
-1 |
1 |
- |
0 |
0 |
.71 |
.79 |
.81 |
.83 |
.83 |
|
17 |
30 |
1 |
30 |
50 |
0.5 |
1 |
1 |
- |
0 |
0 |
.24 |
.33 |
.33 |
.30 |
.29 |
|
18 |
30 |
1 |
30 |
50 |
0.5 |
-1 |
1 |
- |
0 |
0 |
.23 |
.33 |
.40 |
.33 |
.33 |
|
19b |
9 |
1 |
9 |
9 |
1 |
9 |
8 |
R-skew |
0 |
0 |
.37 |
.39 |
.36 |
.31 |
.30 |
|
20 |
9 |
1 |
9 |
9 |
1 |
9 |
8 |
R-skew |
0 |
0 |
.38 |
.38 |
.39 |
.36 |
.36 |
|
21 |
10 |
0.5 |
0 |
10 |
0.5 |
0 |
1 |
- |
0 |
1 |
.37 |
.42 |
.47 |
.48 |
.51 |
|
22 |
10 |
0.1 |
0 |
10 |
0.1 |
0 |
1 |
- |
0 |
1 |
.82 |
.84 |
.78 |
.71 |
.66 |
|
23 |
10 |
0.9 |
0 |
10 |
0.9 |
0 |
1 |
- |
0 |
1 |
.15 |
.16 |
.26 |
.33 |
.32 |
|
24 |
-2 |
1 |
-2 |
-1 |
0.5 |
-3 |
1 |
- |
0 |
0 |
.48 |
.52 |
.48 |
.48 |
.45 |
|
25 |
2 |
1 |
2 |
3 |
0.5 |
1 |
1 |
- |
0 |
0 |
.41 |
.50 |
.46 |
.46 |
.49 |
|
26 |
16 |
1 |
16 |
50 |
0.4 |
1 |
1 |
- |
0 |
0 |
.50 |
.65 |
.61 |
.60 |
.55 |
|
27c |
16 |
1 |
16 |
48 |
0.4 |
1 |
3 |
L-skew |
0 |
0 |
.50 |
.57 |
.60 |
.58 |
.57 |
|
28 |
6 |
0.5 |
0 |
9 |
0.5 |
0 |
1 |
- |
-1 |
0 |
.91 |
.87 |
.83 |
.85 |
.84 |
|
29 |
2 |
1 |
2 |
3 |
1 |
3 |
1 |
- |
0 |
0 |
.97 |
.98 |
.99 |
.99 |
1.0 |
|
30 |
6 |
0.5 |
0 |
8 |
0.5 |
0 |
1 |
- |
1 |
0 |
.94 |
.97 |
.96 |
.98 |
.98 |
Note. B-rates are mean choice rates for Option B, presented in five blocks of five trials each: No-FB is the block without feedback, and With-FB are the blocks with feedback.
a. An accept/reject type problem (the problem is replaced with a proposal to accept or reject a game of chance with Option B’s outcomes).
b. A coins-toss type problem (Option B is construed as a game of chance similar to that used by Bernoulli, 1738/1954). Its implied payoff distribution is described in Row 6 of Table 1. c The implied payoff distribution is described in Row 10 of Table 1.