determine their matched school, such as other students' preferences or school priorities. This can lead to doubts about whether … disclosing sensitive private information like other students' preferences or school priorities. In particular, we show that the … Verifiability Problem can be solved by (1) publicly communicating the minimum scores required to be matched to a school ("cutoffs …

-added school from among the set of feasible schools, then this reallocation of students would increase academic achievement …

We study the allocation of indivisible objects (e.g. school seats) to agents by lotteries. Agents have preferences over … we can increase the probability of matching this pair at the expense of agents, who have lower priority at the object … implementing a (deterministically) stable matching with respect to the broken ties. As a second result, we derive a new …