On the existence of lindahl equilibria in economies with a measure space of non-transitive consumers
Abstract We present a generalization of Roberts' theorem on the existence of Lindahl equilibria in economies with a measure space of agents. The principal contribution of this paper is methodological. We show that by formulating the problem in what we consider to be its natural infinite dimensional setting, the basic structure of Debreu's proof in the theory of value can be applied. Our proof makes use of functional analysis and relies, in particular, on Artstein's characterization of weak sequential convergence in L 1 ( μ ).