This paper examines the role of direct mechanisms in common agency games. We focus on pure strategies and deterministic contracts and show how the introduction of a separability condition on the preferences of the agent is sufficient for the Revelation Principle to hold in in this setting, when...

The paper proves the following result: every path-connected domain of preferences that admits a strategy-proof, unanimous, tops-only random social choice function satisfying a compromise property, is single-peaked. Conversely, every single-peaked domain admits a random social choice function...