Since Roemer does not offer a full theory of justice within which his LPF version of equality of opportunity would be included, one cannot say what sort of social hierarchy he envisions, fair access to which is to be regulated by this level playing field conception of equality of opportunity. (He might be espousing a radical version of substantive equality of opportunity or instead uphold the background idea that equality of condition should be sustained unless considerations of personal responsibility provide reasons to deviate from it.) But a difficulty he himself notes raises a worry about the attractiveness of the approach (Roemer 1998: chapter 12). If society needs excellent basketball players, ballet dancers, bankers, medical researchers, nuclear scientists, and so on, then society needs to train the best individuals for those social roles, and if the social roles are valuable, no doubt special advantages and rewards should be attached to them. To say that “society needs” such elite education is to speculate that with elite education all members of society can be made better off than they would be if elite education is foregone. But this means that many social justice principles will imply that the LPF conception of equal opportunity should not be pursued because giving special advantages to people on the basis of unchosen circumstances such as their native possession of specially valued talents works to everyone's advantage including especially the advantage of the worse off fraction of society. However, Roemer can reply that one can uphold LPF equal opportunity as part of justice without insisting it is the entirety of justice. Justice might favor equality of opportunity and also favor more and better opportunities for people rather than fewer and worse. 