Table 1.

Characteristics of the segregated equilibrium

Quantity	m < 2/3	2/3 ≤ m ≤ 1
ρs	$\frac{1}{2}\sqrt{(2-m)∕(1-m)}$	1
U*	$\frac{1}{1+\sqrt{(1-m)∕(2-m)}}$	m
L*	$\frac{1}{1+\sqrt{(1-m)∕(2-m)}}$	1/2 + m/4

The table displays the density ρ_s in the nonempty blocks, the normalized collective utility U* and the normalized link L* of the stationary configurations obtained for α = 0. It is straightforward to check that U*(m) ≤ 1 and L*(m) ≥ 1/2 for m ≤ 1.