Not any individual one - a particular dishonest person might only win 20% of the time - but in aggregate - the winner is almost always a dishonest person.
Even when a game rewards honesty, dishonest people are willing to be honest if that's truly what gives them the greatest chance of winning, so they still win.
I believe they are saying that there are multiple rounds, each with different games - some with honest optimal strategies and some with dishonest optimal strategies. A dishonest person can always choose the optimal strategy for each game, but the honest person can only choose the best honest strategy. So in aggregate the dishonest person comes out ahead.
Dishonest people almost always win.
Not any individual one - a particular dishonest person might only win 20% of the time - but in aggregate - the winner is almost always a dishonest person.
Even when a game rewards honesty, dishonest people are willing to be honest if that's truly what gives them the greatest chance of winning, so they still win.