Minimal-envy land division
If the number of citizens is large enough, such that the effect of one citizen changing his/her selection is negligible, then an envy-free division is equal to a Nash equilibrium in a congestion game.

Specifically, Igal Milchtaich's papers are relevant to this problem.

Additionally, Yonatan Aumann and Yair Dombb define several quantitative measures of unfairness: alpha-unproportionality, alpha-envy and alpha-inequitability, which may also be relevant.