Table 5.
Results of two-stage gambling experiments in literature and model fitting.
| Literature | p(again|win) | p(again|lose) | p(win) | p(lose) | p(again|unknown) | θexpt | θ1 | θ2 | θ3 | θ4 | θfit | pfit |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Tversky and Shafir, 1992 Experiment 1 | 0.69 | 0.57 | 0.5 | 0.5 | 0.38 | 113.49° | 134.37° | 146.22° | 138.83° | 139.59° | 106.89° | 0.45 |
| Tversky and Shafir, 1992 Experiment 2 | 0.69 | 0.59 | 0.5 | 0.5 | 0.35 | 117.03° | 134.64° | 146.19° | 138.32° | 140.53° | 106.91° | 0.4 |
| Tversky and Shafir, 1992 Experiment 3 | 0.71 | 0.56 | 0.5 | 0.5 | 0.84 | 71.03° | 133.80° | 147.43° | 139.35° | 139.02° | 106.29° | 0.46 |
| Kühberger et al., 2001Experiment 1 | 0.6 | 0.47 | 0.5 | 0.5 | 0.47 | 97.03° | 135.28° | 142.49° | 140.66° | 136.54° | 108.75° | 0.36 |
| Kühberger et al., 2001 Experiment 2 | 0.83 | 0.7 | 0.5 | 0.5 | 0.62 | 100.97° | 133.41° | 161.46° | 137.71° | 148.57° | 99.27° | 0.64 |
| Kühberger et al., 2001 Experiment 3 | 0.8 | 0.37 | 0.5 | 0.5 | 0.43 | 106.55° | 129.29° | 153.45° | 146.31° | 131.19° | 103.27° | 0.46 |
| Kühberger et al., 2001 Experiment 4 | 0.68 | 0.32 | 0.5 | 0.5 | 0.38 | 104.91° | 131.30° | 147.14° | 147.14° | 131.30° | 106.43° | 0.37 |
| Lambdin and Burdsal, 2007 | 0.64 | 0.47 | 0.5 | 0.5 | 0.38 | 108.61° | 134.24° | 144.18° | 141.11° | 136.12° | 107.91° | 0.39 |
| Surov et al., 2019 | 0.3 | 0.24 | 0.5 | 0.5 | 0.17 | 111.88° | 147.53° | 136.74° | 152.19° | 134.71° | 111.63° | 0.17 |
Columns 2–6 show the observed probabilities in the experiments. θexpt, θ1, θ2, θ3, and θ4 are the computed interference-phase differences of p(again|unknown), p(again|win), p(stop|win), p(again|lose), and p(stop|win), respectively, from observed probabilities. θfit is the fit value of θexpt by BIDM model. pfit is the p(again|unknown) fitted by BIDM model with θfit.