You know... We could do away with war across the entire planet and instead have all conflicts that need to be settled violently take place in one of the many arenas that would dot every half decent city on the planet. Hell, might even keep away some dark god or something.
This is the concept the game called League of Legends is based around... or it was until they did away with the League part of the story and just focused on the Legends. Frankly, the League never made much sense. The reason it doesn't make much sense in the end is because,
A) Some nations have clearly superior armies to others,
B) They'll use them to get what they want from nations which have weaker armies.
But it's a pretty neat idea regardless. But if a nation with a powerful army loses in an arena, chances are they'll say "well fuck this i bet it was rigged" and go on a rampage.
It is a neat idea, though, and I could see the saurians happily using the Ring of Valor to settle disputes with people who REALLY REALLY didn't want to go to war with them. Example: "HEY! WE WANT OUR CITY BACK!" "Well, alright. Let's go murder each other in the Ring. Winner takes the city."