Matching mechanisms are widely regarded as providing a promising way to cure the public good underprovision problem, but the Pareto optimal interior matching equilibrium emerges only under very special conditions. However, we show that public good underprovision is normally avoided.

A game is fully aggregative if payoffs and marginal payoffs depend only on a player’s own strategy and a function of the strategy profile which is common to all players. We characterize the form which this function must take in such a game and show that the game will be strategically...