And you don't think Skyrim is perfect for some blood sport?
No, the gladiatorial tradition is Roman. Norseman sometimes sacrificed people in rituals and they definitely had duels, sometimes made prisoners fight each other, but not for entertainment like the Coliseum.
And you don't think Skyrim is perfect for some blood sport?
See above. Proving your strength at arms is one thing, killing for the entertainment of the masses is not honorable.
Of course in Skyrim you have the wolf pits where bandits are betting, that's appropriate I think.