We propose Asymmetric Best-Effort, a novel service to provide a throughput versus delay jitter differentiated service for IP packets. With this service, every best effort packet is marked as either Green or Blue. Green packets, typically sent by real-time appli- cations such asinteractive audio, receive more losses during bouts of congestion than Blue ones. In return, they receive less delay jitter. Both Green and Blue services are best-effort. The incentive to choose one or other is based on the nature of one`s traffic and on traffic conditions. If applications are TCP-friendly, those sending Blue packets will receive more throughput but also more delay jitter, than they would if they sent Green packets for a given network state and path.