This paper studies the problem of fairly allocating an amount of a divisible resource when preferences are single-peaked. We characterize the class of envy-free and peak-only rules and show that the class forms a complete lattice with respect to a dominance relation. We also pin down the...

We consider the problems of fairly allocating indivisible objects and money. The objective of the present study is to examine strategic manipulation under envy-free solutions. We show that each individual obtains the welfare level of his "optimal" envy-free allocation by maximally manipulating...

We consider the problem of fairly reallocating the individual endowments of a perfectly divisible good among agents with single-peaked preferences. We provide a new concept of fairness, called position-wise envy-freeness, that is compatible with individual rationality. This new concept requires...

We consider the problem of the fair allocation of indivisible goods and money with non-quasi-linear preferences. The purpose of the present study is to examine strategic manipulation under envy-free solutions. We show that under a certain domain-richness condition, each individual obtains the...