The Illusion of choices

Silly Ruleshi, this is chess, so a third option exists.

I DRAW!

(Tricky part is to prevent Ruleshi from resigning prematurely.)

Why don't we play something with a component of chance, then? I counter-challenge you to backgammon.

NNescio said in comment #2618381:

Silly Ruleshi, this is chess, so a third option exists.

I DRAW!

So a stalemate.

Presumably the prize is removing the 'stale' part.