Using a common agency framework, we characterize possible equilibria when annuities contracts are not exclusive. We discuss theoretical and empirical implications of these equilibria. First, we show that at equilibrium prices are not linear. Then we characterize an equilibrium. We provide...

In this note we show that the equilibrium characterized by Biais, Martimort and Rochet (Econometrica, 2000) could have been characterized by direct mechanisms even if the Revelation Principle does not apply in their setting. The use of more sophisticated mechanisms, such as menus, was not necessary.

In common agency games, one cannot characterize all equilibria by considering only direct mechanisms. In an attempt to overcome this difficulty, Peters [Econometrica, 2001] and Martimort and Stole [Econometrica, 2002] identified a class of indirect mechanisms (namely, menus) which are able to...