# homogeneous function

## Definition

### Economics

- A function with the property that multiplying all arguments by a constant changes the value of the function by a
__monotonic__function of that constant:*F*(l*V*)=*g*(l)*F*(*V*), where*F*(·) is the homogeneous function,*V*is a vector of arguments, l>0 is any constant, and*g*(·) is some strictly increasing positive function. Special cases include homogeneous of degree*N*and__linearly homogeneous__.