We have a web-based game for two players, which we offer via Amazon Mechanical Turk. For each game we need two players that will enter simultaneously, or at most 1 minute apart.
Using TurkPrime.com it is possible to bump a hit by using the "Restart" feature. It closes the first HIT and opens a new HIT excluding all workers who completed the first HIT. The effect is that it bumps the HIT to the top of Mechanical Turk when sorted by date.
With TurkPrime you use your own Amazon MTurk account, but they have an option for requesters with no MTurk account.