A conflict-free arbitration scheme in a large population

This paper studies allocations that can be implemented by an arbitrator subject to the constraint that the agents' outside option is to start bargaining by themselves. As the population becomes large, the set of implementable allocations shrinks to a singleton point - the conflict-free allocation. Finally, the conflict-free allocation can be implemented via a simple "lobbying" game where parties composed of agents with similar preferences bid for the right to be the first proposer in a bargaining game among the parties, i.e. in the "political game".