Roman Role-Playing games

I was researching whether Romans played war-games with their dice, since that would be an historical precursor to Dungeons and Dragons. They didn't, as far as I can tell, but they did play board games and dice games, so it wouldn't be unreasonable for someone to have thought of combining the two at the time.
I did find this amusing wall panel from Pompeii, though, which would be right at home in a modern RPG: