An extension of Black's theorem on voting orders to the successive procedure

Duncan Black (1958) stated his voting order theorem — ‘the later any motion enters the voting order, the greater its chance of adoption’ — exclusively for the amendment procedure. Niemi and Gretlein's (1985) extension is similarly limited. Here we show that with a change in the focus from social preferences to individual preferences, both Black's theorem and that proved by Niemi and Gretlein apply as well to the successive procedure.