1 Communal Costs (4 Points) Some costs mag.r he communal. For example. civil wars destro],r the state's economy and infrastructure. As such. war itself shrinks the size of the good in dispute. To model this._ suppose that war does not have any direct costs [i.e., c; and 133 do not exist for this problem}. Instead. suppose that ghting a war reduces the size of the prize to 1'." E {(1.1}. As before: the winner takes the entire thing. But note that the amount to be had through war is strictlg,r less than the quantity to he had through a peaceful division. a] il'rite each side's peace constraint. b} Show that a range of settlements exists that both sides prefer to war