Table 3 Equilibria and the stability conditions for a population of DISC players under different assignment rules

$\frac{1}{2}$

$\frac{1}{2}$

Unstable

$\frac{1}{2}$

0

1−μ

$1-\mu \frac{1+\theta }{\theta }+O\left({\mu }^2\right)$

Eq. (14)

$1-\frac{\mu }{\theta }+O\left({\mu }^2\right)$

$\frac{\mu }{\theta }+O\left({\mu }^2\right)$

1−μ

$\frac{1}{2}$

Eq. (18)

$\frac{1+\theta }{2}-\mu \theta$

$\frac{1}{2}-\mu$