DrawFighters (EP)

The easiest way to lose a fight is to go into any one of them (preferably ones on either of the later volcanoes) and just keep choosing when it's time to pick you action as it will skip your turn and allow your opponent to only do damage during the fight. Just keep selecting it until you all of your fighters are finished off and your team is defeated. It will also help to make those fights go faster if you remove all your upgrades from the health category and pick your lowest level fighters as well so they die quickly (also hold down during the battle to move the attacks quickly). Rinse and repeat 10 times in a row and the trophy will pop after the 10th time.