We consider a natural generalization of the well-known Popular Matching problem where
every vertex has a weight. We call a matching M more popular than matching M′ if the …

In dispute resolution, arbitrator assignments are decentralized and also incorporate parties'
preferences, in total contrast to referee assignments in sports. We suggest that there can be …

Members of an organization need to be assigned to positions, eg, legislators to committees,
executives to roles, or workers to teams. This choice over allocations—and more broadly …

We introduce a two-round object allocation problem. After the initial matching, some agents
may decide to leave the problem. The final matching is obtained among the set of remaining …