Skip to main content
. 2012 Feb 22;3:25. doi: 10.3389/fpsyg.2012.00025

Table A1.

Lotteries used in the experiment.

Pair number Lottery X = (X1, p, X2)
Lottery Y = (Y1, q, Y2)
X1 p = Prob(X1) X2 Y1 q = Prob(Y1) Y2
1 −5 0.25 0 −1 0.50 −1
2 −4 0.67 1 −2 0.50 −2
3 4 0.33 −4 −3 0.25 0
4 4 0.33 −4 −2 0.33 0
5 12 0.25 −5 1 0.50 1
6 10 0.25 −4 1 0.50 1
7 9 0.33 −5 0 0.50 1
8 8 0.25 −3 0 0.75 2
9 18 0.50 −4 9 0.67 5
10 17 0.50 −3 8 0.67 6
11 10 0.25 −1 3 0.75 1
12 12 0.33 −2 4 0.83 2
13 16 0.25 −4 2 0.50 2
14 15 0.33 −5 2 0.50 2
15 24 0.33 3 12 0.67 6
16 25 0.33 2 10 0.75 8
17 22 0.14 3 7 0.67 7
18 24 0.17 4 8 0.75 8
19 13 0.25 2 6 0.75 2
20 12 0.33 1 7 0.67 1

There are two lotteries in each choice: X = (X1, p, X2) and Y = (Y1, q, Y2), where in the lottery X the prize X1 realizes with probability p and the prize X2 realizes with probability (1 − p), with similar notation applying to the lottery Y. The lottery pairs with odd numbers are distinct. The lottery pairs with even numbers are slightly perturbed ones relative to the preceding odd-number pairs. We used these pairs of lotteries in all treatments, with exception of the treatment (private, chance), where odd numbered pairs were used only. No pair was repeated within a treatment.