The existence of walrasian equilibrium And -ir/ max(0, (p)]=z(p)max(0,Ei(p) Sum up with i ∑max02(p∑n=(p)=∑=(p)max(0.=(p) ∑=(p)max(,:p)=0for∑ P2=(p)=0 So, we have:z,(P)≤0 ° EXample:C- D economyThe existence of Walrasian equilibrium – And – Sum up with i – So, we have: • Example: C-D economy 1 ( ) [ max(0, ( )] ( )max(0, ( )) K i i j i i j z p z z z = p p p p = 1 1 1 [ max(0, ( )] ( ) ( ) max(0, ( )) k k K j i i i i j i i z p z z z = = = p p p p = 1 1 ( ) max(0, ( )) =0 for ( ) 0 k k i i i i i i z z p z = = p p p = ( ) 0 i z p