I was thinking of times where maybe two countries has equal claim to something, or if they both had legitimate reasons for wanting something. It may seem a silly question, but I'm curious if such contests have ever determined factors beyond bragging rights.
The only thing that comes to mind was the (albeit temporary) truce among a small group of soldiers along German and French lines near Flanders on Christmas night 1914 during WWI. Games were played, songs were sung, meals were shared, and the fighting continued at dawn.