The size of a matching is defined as the expected number of agents who are matched to some objects. It is an important design objective in many applications, including refugee resettlement, daycare assignment, and mass vaccination campaigns. This paper studies the matching size achieved by...

In many random assignment problems, the central planner has their own policy objective, such as matching size and minimum quota fulfillment. A number of practically important policy objectives are not aligned with agents' preferences and known to be incompatible with strategy-proofness. This...

In many random assignment problems, the central planner has their own policy objective, such as matching size and minimum quota fulfillment. A number of practically important policy objectives are not aligned with agents’ preferences and known to be incompatible with strategy-proofness. This...