We expand the scope of the two-aggregate method by applying it to a situation where many heterogeneous players are free to contribute to both aggregates. Such situations naturally arise in various resource allocation problems. Hence our method is useful in many applications. A...

We consider a two-stage voluntary provision model where individuals in a family contribute to inter-family public goods, and, at the same time, the parent makes private transfers to her child within the same family. We show not only that Warr’s neutrality holds regardless of the different...

In a public good economy the distribution of initial income is an important determinant of how many individuals contribute to the public good. For the case when all individuals have identical preferences in this paper a simple formula is derived that describes the proportion of all income...