This appears to be a fundamental error — an elementary fallacy of composition. (firstthings.com)
It appears, however, that Mill commits a simple fallacy of composition in inferring from each person's desire for his own happiness that the general happiness is a good to the aggregate of all persons.6 The egoist will surely reply as follows: «The fact that I desire my own happiness is no reason why I ought to desire the greatest happiness for the greatest number. (religion-online.org)
But in the public's mind talk of structural deficits vs overall deficits, fallacies of composition, etc, do not have a lot of impact. (nextleft.org)