▁non - co oper ative . ▁ ▁Thus , ▁this ▁format ▁represents ▁four ▁cases : ▁two ▁non - co oper ative ▁games ▁( Max imin ▁and ▁Min im ax ) ▁and ▁two ▁co oper ative ▁games ▁( Min imin , ▁and ▁Maxim ax ). ▁The ▁respective ▁form ulations ▁are ▁as ▁follows : ▁▁▁▁ ▁Each ▁case ▁is ▁specified ▁by ▁a ▁pair ▁of ▁optim ality ▁criteria ▁employed ▁by ▁DM ▁and ▁Nature . ▁For ▁example , ▁Max imin ▁dep ict s ▁a ▁situation ▁where ▁DM ▁st riv es ▁to ▁maxim ize ▁the ▁outcome ▁and ▁Nature ▁st riv es ▁to ▁minim ize ▁it . ▁Similarly , ▁the ▁Min imin ▁parad ig m ▁represents ▁situations ▁where ▁both ▁DM ▁and ▁Nature ▁are ▁st riv ing ▁to ▁in ▁minim ize ▁the ▁outcome . ▁ ▁Of ▁particular ▁interest ▁to ▁this ▁discussion ▁are ▁the ▁Max imin ▁and ▁Min imin ▁parad ig ms ▁because ▁they ▁subs ume ▁info - g ap ' s ▁robust ness ▁and ▁opportun eness ▁models , ▁respectively . ▁So , ▁here ▁they ▁are : ▁▁ ▁Step ▁ 1 : ▁The ▁DM ▁selects ▁a ▁decision ▁▁ ▁with ▁a ▁view ▁to ▁maxim ize ▁the ▁outcome ▁. ▁ ▁Step ▁ 2 : ▁In ▁response , ▁given ▁, ▁ ▁Nature ▁ ▁selects ▁a ▁state ▁in ▁ ▁that ▁minim izes ▁ ▁over ▁. ▁ ▁Step ▁ 3 : ▁The ▁outcome ▁ ▁is ▁all otted ▁to ▁DM . ▁▁ ▁Step ▁ 1 : ▁The ▁DM ▁selects ▁a ▁decision ▁▁ ▁with ▁a ▁view ▁to ▁minim izes ▁the ▁outcome ▁. ▁ ▁Step ▁ 2 : ▁In ▁response