This paper mainly focused on description of statements of fairness from Rawls & Hansanyi and Ken Binmore separately in this domain.By introducing concepts of "Game of Morals" and the like, a reconsideration, from the new perspective of Ken Binmore, is made about whether the "Egalitarianism" and "Utilitarianism" is always incompatible during the formation and the realization of the fair social contract.