In a differential information economy with quasi-linear utilities, monetary transfers facilitate the fulfillment of incentive compatibility constraints: the associated ex ante core is generically non-empty. However, we exhibit a wellbehaved exchange economy in which this core is empty, even if goods are allocated through random mechanisms.
Forges, F., Mertens, J.-F., & Vohra, R. (2001). The ex ante incentive compatible core in the absence of wealth effects (CORE Discussion Papers 2001/1). https://hdl.handle.net/2078.5/128241