Fig. 2.

Asymmetrically peaked individual utility as a function of block density. The utility is defined as u(ρ) = 2ρ if ρ ≤ 1/2 and u(ρ) = m + 2(1 − m)(1− ρ) if ρ > 1/2, where 0 < m < 1 is the asymmetry parameter. Agents strictly prefer half-filled neighborhoods (ρ = 1/2). The agents also prefer overcrowded (ρ = 1) neighborhoods to empty ones (ρ = 0).