Are wait-free algorithms fast?

The time complexity of wait-free algorithms in so-called normal executions, where no failures occur and processes operate at approximately the same speed, is considered. A lower bound of log n on the time complexity of any wait-free algorithm that achieves approximate agreement among n processes is proved. In contrast, there exists a non-wait-free algorithm that solves this problem in constant time. This implies an Omega (log n)-time separation between the wait-free and non-wait-free computation models. An O(log n)-time wait-free approximate agreement algorithm is presented. Its complexity is within a small constant of the lower bound.<>