Embodiments that generate multiple haptic effects receive a first haptic effect signal having a first priority and corresponding to a first haptic effect, and receive a second haptic effect signal having a second priority and corresponding to a second haptic effect. When the first priority is less than the second priority, embodiments generate an interaction parameter using the second haptic effect signal. When the second priority is less than the first priority, embodiments generate the interaction parameter using the first haptic effect signal. Embodiments then apply a drive signal to a haptic output device according to the interaction parameter, where the drive signal causes the first haptic effect and the second haptic effect to be generated by the haptic output device concurrently.