The aim of this paper is to discuss the problem of quantifier raising in the minimalist theory by reviewing some principles accounting for some approach without recourse to quantifier raising (Hornstein (1995)) functions to handle the relative ambiguity problems of the quantificational expressions in double object constructions in English, coupled with the A-chain theory. On the other hand, Fox's(1995) "Ellipsis Scope Generalization(ESG)" following economy principle and parallelism condition handles the scope ambiguity problems occurring in VP ellipsis constructions based on "interface economy" allowing optional quantifier raising. Also, VP ellipsis constructions containing scope ambiguity and sloppy identity reading are shown to be accounted for not by c-command requirement only but by the account incorporated with ESG.