FIS. Otherwise, the last juror $J_3$ votes with full information (about the signals) and can choose the verdict, so he chooses the FIS.

Thus with binary signals, the FIS can be obtained for all ability triples if we always have the highest ability juror vote second. If he does not vote second, then for some abilities the FIS will not be obtained. The voting positions of the lower ability jurors do not matter. We shall see that for sophisticate jurors, the first observation holds (best for highest ability juror to vote second); however, the second observation no longer holds — it is best for the weakest ability juror to vote last. For sophisticated jurors, who receive continuous signals, signals are not revealed through voting. So it is unreasonable to expect that the FIS can be obtained.

Sophisticated jurors
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We now consider jurors who receive not binary signals, but signals in the interval $\left[  -1,+1\right]  $. For each juror, higher signals give a higher posteriori probability that Nature is in state $A$, with a signal of $0$ leaving $A$ and $B$ equiprobable. A juror’s signal distribution depends on the state of Nature and on his *ability* $a$, a number between 