We consider the problem of randomly assigning n indivisible objects to n agents. Recent research introduced a promising mechanism, the probabilistic serial that has superior efficiency properties than the most common real-life mechanism random priority. On the other hand, mechanisms based on...

Many universities in the US o¤er on-campus housing opportunities to incoming as well as already enrolled students. Recent research has theoretically as well as experimentally shown that the most common student assignment mechanism used in the US is subject to serious efficiency losses. In this...

An increasingly popular practice for student assignment to public schools in the U.S. is the use of school choice systems. The celebrated Gale-Shapley student-optimal stable mechanism (SOSM) has recently replaced two de…ficient student assignment mechanisms that were in use in New York City...

The static matching models have been applied to real-life markets such as hospital intern markets, school choice for public schools, kidney exchange for patients, and on-campus housing for college students. However, these markets inherently involve dynamic aspects. This dissertation introduces...