It would be interesting to do a parallel study so with the follow-up game being more winnable by extra effort instead of by cheating. My hypotheses is that win

It would be interesting to do a parallel study so with the follow-up game being more winnable by extra effort instead of by cheating. My hypotheses is that winning begets a desire to continue winning -- if the only way to win is cheating, the winners are more likely to cheat; however, if the only way to win is to try harder, perhaps winners would do that too. That would be an interesting outcome because it would suggest a model where the likelihood of cheating by winners is primarily governed by whether the only way to win is to cheat (i.e. the dice game used in the study)