Mixed Markets with Public Goods

We use a mixed market model for analyzing economies with public projects in which the condition of perfect competition is violated. We discuss core-equivalence results in the general framework of non-Euclidean representation of the collective goods. We show that if large traders are similar to each other, then they lose their market power and hence the equivalence theorem can be restored. This is possible assuming a cost distribution function to fix the fraction that each large or small agent is expected to cover of the total cost of providing the project. We show that, for each given individual and coalitional contribution scheme, the resulting core is equivalent to the corresponding linear cost share equilibria. Finally, we investigate on weaker equivalences when the assumption that all large traders are of the same type is dropped. An analysis of mixed markets with public goods via atomless economies is provided, joint with an extension of Schmeidler and Vind results on the measure of blocking coalitions.