Many school districts in the US. employ centralized clearing houses to assign students to public schools. An important potential threat against any school choice mechanism is the tendency of schools to circumvent the procedure via two kinds of strategic manipulation: manipulation via capacities...

We characterize a parametric family of application-rejection school choice mechanisms, including the Boston and Deferred Acceptance mechanisms as special cases, and spanning the parallel mechanisms for Chinese college admissions, the largest centralized matching in the world. Moving from one...