Fair division rules are examined in a framework consisting of local en
vironments with fixed, non-disposable, perfectly divisible endowments,
and (possibly) different division rules. Individuals have single-peak
ed preferences and are free to choose the environments where they live
. Given that tile rules satisfy various desirable properties such as e
fficiency, strategy-proofness, or envy-freeness, the extent to which i
ndividuals have incentives to migrate to other environments is explore
d. (C) 1996 Academic Press, Inc.