Strategic Behavior in Contested-Pile Methods for Fair Division of Indivisible Items

Most fair-division procedures are modeled on cake-cutting procedures such as “I cut, you choose”. The inputs are players’ choices, which are assumed to reflect preferences but not fully reveal them; the output is a division that is in some sense fair. However, it seems likely that decision makers sometimes behave insincerely, that is, they make choices that are not consistent with their true preferences. For example, strategic—as opposed to...