Okay, ignore that last reply because that is NOT how you play.
What you actually do is you wait until the word PUSH! comes up. At that time you press the B button once. Then a power meter will come up. Try and stop it with the black bar up furthest to your right. Then wait to see which tamagotchi had the most power, thereby, winning the round. Here's a tip: the heavier your tama is the better chance it has of winning. I usually feed mine a lot of treats until it's pass 50lbs. Then it's really good at winning even if the power bar isn't high on certain rounds! Your tama will work the pounds off while playing.
Good luck!!