▁region ▁of ▁uncertainty ▁and ▁consider ▁these ▁key ▁questions : ▁ ▁How ▁does ▁the ▁robust ness / o pport un eness ▁analysis ▁respond ▁to ▁an ▁increase / de cre ase ▁in ▁the ▁size ▁of ▁? ▁ ▁How ▁does ▁an ▁increase / de cre ase ▁in ▁the ▁size ▁of ▁ ▁affect ▁the ▁robust ness ▁or ▁opportun eness ▁of ▁a ▁decision ? ▁ ▁How ▁representative ▁are ▁the ▁results ▁generated ▁by ▁info - g ap ' s ▁robust ness / o pport un eness ▁analysis ▁of ▁what ▁occurs ▁in ▁the ▁relatively ▁large ▁total ▁region ▁of ▁uncertainty ▁? ▁ ▁Suppose ▁then ▁that ▁the ▁robust ness ▁ ▁has ▁been ▁computed ▁for ▁a ▁decision ▁▁ ▁and ▁it ▁is ▁observed ▁that ▁ ▁where ▁  ▁for ▁some ▁. ▁ ▁The ▁question ▁is ▁then : ▁how ▁would ▁the ▁robust ness ▁of ▁, ▁namely ▁ ▁, ▁be ▁affected ▁if ▁the ▁region ▁of ▁uncertainty ▁would ▁be ▁say , ▁twice ▁as ▁large ▁as ▁, ▁or ▁perhaps ▁even ▁ 1 0 ▁times ▁as ▁large ▁as ▁? ▁ ▁Consider ▁then ▁the ▁following ▁result ▁which ▁is ▁a ▁direct ▁consequence ▁of ▁the ▁local ▁nature ▁of ▁info - g ap ' s ▁robust ness / o pport un eness ▁analysis ▁and ▁the ▁nest ing ▁property ▁of ▁info - g aps ' ▁regions ▁of ▁uncertainty ▁( S n ied ov ich ▁ 2 0 0 7 ): ▁ ▁In var iance ▁theorem ▁ ▁The ▁robust ness ▁of ▁decision ▁ ▁is ▁invariant ▁with ▁the ▁size ▁of ▁the ▁total ▁region ▁of ▁uncertainty ▁ ▁for ▁all ▁ ▁such ▁that ▁ ▁{ | ▁width =" 7