I consider the private provision of public goods in two stage games. If the agent who likes the public good least contributes first, the amount of the public good supplied will be the same as in the Nash equilibrium. If the agent who likes the public good most contributes first, less of the public good may be supplied.
Similar results hold if the first mover is uncertain of the tastes of the other agent.
If the agents bid for the right to move first, the agent who values the public good least will win. If each agent chooses the rate at which he will subsidize the other agent's contributions, the subsidies that support the Lindahl allocation are the unique equilibrium outcome. Postscript file submitted via ftp in compressed format. If you experience problems downloading a file check if you have the proper application to view it first. Information about this may be contained in the File-Format links below.