  We study hidden-action principal-agent problems with multiple agents. Unlike
previous work, we consider a general setting in which each agent has an
arbitrary number of actions, and the joint action induces outcomes according to
an arbitrary distribution. We study two classes of mechanisms: a class of
deterministic mechanisms that is the natural extension of single-agent
contracts, in which the agents play a Nash equilibrium of the game induced by
the contract, and a class of randomized mechanisms that is inspired by
single-agent randomized contracts and correlated equilibria.
