sumo-flirting

When two people want to flirt, but neither one makes the first move. Instead of making a move, they both try to force the other into making the first move, like sumo wrestlers trying to force each other out of the ring.

Jane: Kate and I are so into each other but neither of us have the guts to say it! We were trying to make each other admit it at the party!
Brad: Sounds like you two were sumo-flirting!