The existence of walrasian equilibrium By brouwer's fixed-point theorem, there is a p, such that p=g(p) p=g(p) p1+max(0,2(p) 1+∑max(0,=,(p) So p'max(O, =(p)1=max(0,=(p) for i=1.kThe existence of Walrasian equilibrium – By brouwer’s fixed-point theorem, there is a p * , such that – So g( )   p p = 1 max(0, ( )) ( ) 1 max(0, ( ) i i i i K j j p z p g p z      = + = = + p p 1 [ max(0, ( )] max(0, ( )) for 1 K i j i j p z z i k    =  p p = =