I can't say that I play chess or Taikyoku shogi, although I'm not sure that playing a game can teach you about morality. In chess, I'll be perfectly willing to sacrifice pieces for the win, but it's not the same in real life. Maybe that's why it was insufficient. The thinking that we apply in a game is vastly different than what we would apply to people.
I have an idea, though. We can use the holodeck to create different situations and I can show you how I'd react.