this looks like a problem with selections.
if i should guess i'd say the vest is part of the zebra and the hrudnik selection, but parts of the lower neck/upper back are also part of the prameno (right shoulder) and lrameno (left) selections which makes this part move along the arms to a certain extend.
make parts of the vest congruent with the selections of the body underneath the vest. however this is not 100% possible.
can't you delete the vertices under the vest? or scale them down? take a look at the BAS infantry Kit, that's the way it's done there too.