In this paper we study the rationing problems in using the issue of Nash implementation in an environment of single-crossing preferences. We show that strict monotonicity (i) implies strict weak no-veto power and unanimity and (ii) is equivalent to Maskin monotonicity, which is vacuously checked...

In this article, we study the problem of Nash implementation in private good economies with single-peaked, single-plateaued, and single-dipped preferences in the presence of at least one minimally honest agent. We prove that all solutions of the problem of fair division satisfying unanimity can...