We characterize the outcomes of games when players may make binding offers of strategy contingent side payments before the game is played. This does not always lead to efficient outcomes, despite complete information and costless contracting. The characterizations are illustrated in a series of...

We show that an asymptotic envy-freeness is a necessary condition for a form of robust approximate implementation in large economies.

We examine the strategy-proof provision of excludable public goods when agents care not only about the level of provision of a public good, but also the number of consumers. We show that on such domains strategy- proof and efficient social choice functions satisfying an outsider independence...