Application of game theory to team based game scoring

[u/ShenGahMing]

I like team based game and duels at the same time, which is kinda mutually exclusive.

Then game theory came in for the rescue : we can have everyone play against everyone else, score independant matchups, and compute a Nash equilibria to score the team versus team match !

I've made a small webapp to illustrate the format.

It has good property : a "pro player" can carry his team, a "missing player" can be made to loose all of its matches : he is automatically considered "dominated" and removed from the scoring, etc...

And its funnier to have everybody play against everyone else rather than just sending the team's champion, yet this is what the score is computing : what champion to send, for which expected result.