We study stable matchings on exogenously given or endogenously formed bipartite graphs that reflect constraints on …

determinedthat depends on the relative positions of the players within the graph. A collection of graphs will be called balanced if … lies in the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We …

This paper extends Hotelling's model of price competition with quadratic transportation costs from a line to graphs. We …'Aspremont et al. (1979) does not extend to simple star graphs and conjecture that this non-existence result holds more generally …