economia simetria-dual de consumo segun un capital potencial

F(x,y) = x^{n}+y^{m}+(-1)·h( px+qy+(-k) ) & px+qy = k


d_{x}[F(x,y)] = nx^{n+(-1)}+(-1)·hp
d_{y}[F(x,y)] = my^{m+(-1)}+(-1)·hq


nx^{n+(-1)}=hp
my^{m+(-1)}=hq


nx^{n}=hpx
my^{m}=hqy


nx^{n}+my^{m}=hk


x=( ((k+(-j))h)/n )^{(1/n)}
y=( (jh)/m )^{(1/m)}


Si h=1 ==>


x=( (k+(-j))/n )^{(1/n)}
y=( j/m )^{(1/m)}


( x=1 & y=1 ) <==> ( n=( k+(-j) ) & m=j )


G( 1 , 1 ) = 2