A Confused Mind
For those who have seen A Beautiful Mind, be assured that the strategizing--in which Russell Crowe instructs his friends that the only way to success is for them all to ignore the pretty girl and focus instead on her plainer friends--does not constitute a true Nash equilibrium. Even if all the boys would be better off if they all ignored the pretty blonde, there would still be an incentive for each one to deviate from the pact and approach her.