Scenario | Individual | Group | |
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A | B | C | | |
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\(y^*_1\) | \(c^*_1\) (%) | \(y^*_2\) | \(c^*_2\) (%) | \(y^*_3\) | \(c^*_3\) (%) | \(y^*_g\) | \(c^*_g\) (%) |
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I | Fair coin | 87 | Fair coin | 70 | Fair coin | 62 | Fair coin | 96 |
II | Biased coin | 76 | Fair coin | 51 | Fair coin | 51 | Biased coin | 75 |
III | Biased coin | 88 | Biased coin | 54 | Fair coin | 81 | Biased coin | 66 |
IV | Fair coin | 81 | Biased coin | 58 | Biased coin | 72 | Fair coin | 54 |
- In each trial, we applied one out of four scenarios (I–IV), which is defined by three stimulus sequences (A, B and C). Each of the three participants from a group viewed one stimulus sequence. Each individual stimulus sequence entails an ideal decision \(y^*_i\) and ideal confidence \(c^*_i\) that can be derived from probability computations. The ideal individual responses from each scenario determine the groups’ ideal decision \(y^*_g\) and confidence \(c^*_g\) (see “Methods” section for an example calculation corresponding to Scenario II)