our assumption is plausible. As in the previous models, there is no (effective) communication between the members of the group.

#### Results {#results-2 .unnumbered}

$$\begin{aligned}
P_{BD}(c) &= P_{\mbox{member with the highest $s$}}(c)\\
s_{BD} &= \max(s_1,\ldots,s_n)\end{aligned}$$

When biases are large, the group psychometric function is that of the most effective participant (i.e., one with the lowest $W(\sigma_i,b_i)$ ), $P_{BD}(c)=P_i(c)$. This strategy is most beneficial for a group with very diverse individual performances.

Weighted Confidence Sharing {#s:wcs}
---------------------------

#### Model {#model-3 .unnumbered}

Group members share their relative confidences $z_i=x_i/\sigma_i$. The group decision depends on the sign of $\sum_{i=1}^n z_i$, i.e., for the negative they choose the first option and for the positive they choose the second. This model requires each $P_i(c)$ to be normal .

#### Motivation {#motivation-3 .unnumbered}

The value $x_i$ is the stimulus perceived by $i$-th participant and has a distribution with density $P_i'(c)$, as it is in @Sorkin2001. We assume the confidence to be a continuous variable. The true stimulus $c$ is, of course, common for all participants in a given trial. The relative confidence is equivalent to a $z$-score, if the participant is unbiased (i.e., it is related to the probability that the participant is right). Put differently, 