State | Probability | α = 1 | α = 2 | α = 3 |
Three 2s | 1/8 | 3 | 3 | 3 |
Two 2s | 3/8 | −1 | −1 | 0 |
One 2 | 3/8 | −5 | 0 | 0 |
Zero 2s | 1/8 | 0 | 0 | 0 |
Expected Welfare |
| −1.625 | 0.25 | 0.375 |