The existence of walrasian equilibrium By brouwer's fixed-point theorem there is a p, such that p=gp) p:=g (p) Pi+max(0,z(p)) K 1+ max 0,=/(p) So pt>i-max(0, 2 (p")]=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 = =