The first theorem of welfare economics rests on the assumption that individuals have neither price-making nor market-making capacities. The authors offer a revision in which individuals have such capacities. The revision emphasizes two keys for market efficiency: the need to align private...

We formulate a model with a continuum of individuals to be assigned to a continuum of different positions which is an extension of the finite housing market version due to Shapley and Shubik. We show that optimal solutions to such a model exist and have properties similar to those established...

The distinction between nonatomicity and thick markets as the source of perfect competition is examined. The authors construct a model of an imperfectly competitive economy with a nonatomic continuum of traders and a continuum of differentiated commodities for which Walrasian equilibria exist....