Matching mechanisms are regarded as an important instrument to bring about Pareto optimal allocations in a public good … interior matching equilibrium, however, emerges only under very special conditions. But we show in this note that corner … results by a simple numerical example. -- public goods ; matching ; Pareto optimality …

We tackle the problem of partitioning players into groups of fixed size, such as allocating eligible students to shared … dormitory rooms. Each student submits preferences over the other individual students. We study several settings, which differ in …