Suppose people in your city generally prefer to live close to nerds (!) The bid premium for a nerd household is B(N) = N², where N = number of nerd households. The bid premium for non-nerd households is b(N) = 8*N. Each neighborhood accommodates 12 households. The bid premium curves of the nerds and non-nerds are shown as follow:

160 140 120 100 Bid premium 80 60 40 20 6 7 8 9 10 11 12 Number of nerds in the neighborhood -Bid (nerd) -Bin(non-nerd)