We develop a theory of stability in many-to-many matching markets. We give conditions under which the setwise …-stable set, a core-like concept, is nonempty and can be approached through an algorithm. The usual core may be empty. The setwise … parallels the standard theory of stability for many-to-one, and one-to-one, models. We provide results for a number of core …

make investments before matching in a competitive market. We introduce the notion of premune-ation values—the values to the …

maximum matching can avoid this risk and enjoy higher payoffs than inessential players. Although the search for partners is …

study the assortative matching properties of the resulting assignment. The main insight is that in general it is optimal to … diversify the composition of the teams, ruling out positive assortative matching. This diversification leads to negative … assortative matching when teams consist of pairs of experts. And when experts' signals are conditionally independent, all teams …

We consider a matching model in which individuals belonging to two populations (\textquotedblleft males … which few general results have previously been derived. We show that in this framework a stable matching always exists, it …

A standing question in the theory of matching markets is how to define stability under incomplete information. This … possible degree of rationality that can be ascribed to their proponents. A matching is deemed “stable” if maintaining the …