I found this easiest using 2 controllers. Don't use any COM players. Now to build a trap you have to land on certain spots, I believe they have a hand on them. You will then be prompted to pick and build a trap, when you build the traps, make sure you put them in your direct path as much as possible, that way you can keep losing cheese and no one will win the game, making it easier to actually build all 5, because it can take time to land on the build spots 5 times. Once you have built the 5th trap achievement unlocks, and you can exit out of the game.