Stable flows generalize the well-known concept of stable matchings to markets in which transactions may involve several agents, forwarding flow from one to another. An instance of the problem consists of a capacitated directed network in which vertices express their preferences over their...

Our input is a complete graph G on n vertices where each vertex has a strictranking of all other vertices in G. The goal is to construct a matching in G that is "globallystable" or popular. A matching M is popular if M does not lose a head-to-head election againstany matching M': here each...

We are given a bipartite graph G = (A B;E) where each vertex has a preference list ranking its neighbors: in particular, every a A ranks its neighbors in a strict order of preference, whereas the preference list of any b B may contain ties. A matching M is popular if there is no matching M' such...

We are given a bipartite graph G = (A B;E) where each vertex has a preference list ranking its neighbors: in particular, every a A ranks its neighbors in a strict order of preference, whereas the preference list of any b B may contain ties. A matching M is popular if there is no matching M' such...

Stable flows generalize the well-known concept of stable matchings to markets in which transactions may involve several agents, forwarding flow from one to another. An instance of the problem consists of a capacitated directed network in which vertices express their preferences over their...

Our input is a complete graph G on n vertices where each vertex has a strictranking of all other vertices in G. The goal is to construct a matching in G that is "globallystable" or popular. A matching M is popular if M does not lose a head-to-head election againstany matching M': here each...

Two firms engage in price competition to attract buyers located on a network. The value of the good of either firm to any buyer depends on the number of neighbors on the network who adopt the same good. When the size of externalities increases linearly with the number of adoptions, we identify...