We modify the Kiyotaki and Wright (1991, J. Economic Theory 53, 215 235; 1993, Amer. Econom. Rev. 83, 63-77) framework so that there is a universal double coincidence of wants in all barter matches. We also introduce divisible service sidepayments into the model and allow agents to bargain over bundles of goods, services and money in bilateral matches. In asymmetric matches, the agent hat values the other's good more dearly will typically have to make a substantial service sidepayment tocomplete the bargain. When sidepayments transfer utility imperfectly, the general equilibrium is inefficient. Agents barter too much. When barter is inefficient, a robust monetary equilibrium may exist which improves welfare. Both robust monetary equili...