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