Some competitors decided to band together and eliminate the golems first. Someone will take the crown and taunt the golems with it. The rest will kill the golems and they will compete for the crown after the golems have been eliminated. They faced the first problem immediately. Who will hold the crown while they eliminate the golems?
Who will be the person to hold the crown? Can that person be trusted not to try and use the golems to eliminate the others? Can they be trusted not to run away with the crown? Who is ready to hold the crown knowing full well that they are next to be vanquished after the golems have been destroyed? Even if all these questions are answered and a solution is found, the next problem comes along quickly after that.