To Matt Young:
"A
multiplier is dY/d(G-T). (Note that part of Y is also G-T, so a
multiplier > 1 => a positive secondary impact of the deficit. And a
secondary impact means both that T will increase - offsetting the
original stimulus, and that non-government GDP will grow reducing - not
increasing the relative size of the government sector.)
(Besides which nobody thinks the multiplier is really a long term effect - there is a capacity ceiling that means at full employment there is 100% crowding out)."