Just for Fun: The Playing Field

There are many occasions in history when the world comes together to compete in sporting events (The Olympics, World Cup, etc.).  These events have many reasons for existing, of course, but the end result is that teams or individuals who differ ideologically come together to compete in sport.  How might such an event be held in your current (or past) works of fiction?  Describe what you’ve done in your works here in the comments, or put together a quick paragraph or two giving an example of how sports or other competitive events (spelling bees or chess matches, for example) might level the playing field amongst your characters and their societies.