This paper studies partnerships that employ a mediator to improve their contractual ability. Intuitively, profitable deviations must be attributable, that is, there must be some group behavior such that an individual can be statistically identified as innocent, to provide incentives in partnerships. Mediated partnerships add value by effectively using different behavior to attribute different deviations. As a result, mediated partnerships are necessary to provide the right incentives in a wide range of economic environments.

Most theoretical or applied research on repeated games with imperfect monitoring has focused on public strategies: strategies that depend solely on the history of publicly observable signals. This paper sheds light on the role of private strategies: strategies that depend not only on public signals, but also on players' own actions in the past. Our main finding is that players can sometimes make better use of information by using private strategies and that efficiency in repeated games can be improved. Our equilibrium private strategy for repeated prisoners' dilemma games consists of two states and has the property that each player's optimal strategy is independent of the other player's state.