The interests of a group are best when the interests of a group are best served by each of its members acting in individual self-interest said by economist Adam smith which I first heard in the film "The beautiful mind " . These words were revised in the film with individual interest plus group interest delivering better results for a group.
Look around your high school or college buddies with a gang of five boys and five girls . Each gang will have that one smart looking guy and a beautiful girl . Obviously the four guys would dream of laying down the hot lady but the lady would be interested for the smart guy . Rest of the four girls feel humiliated as they were not approached by the guys and would give cold shoulders if the guys approach them after the failed attempt to attract the hot lady. Even if the smart guy doesn't shows any sign of interest to get the hot lady there is no probability for the hot lady to fall for any of the four guys. This is the reason you don't find all the person in two groups go pair with each other .
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