Homothetic definitions

Homothetic

1) Similar 2) Similarly placed
Found on https://www.crosswordclues.com/clue/homothetic

A function of two or more arguments is homothetic if all ratios of its first partial derivatives depend only on the ratios of the arguments, not their levels. For competitive consumers or producers optimizing subject to homothetic utility or production functions, this means that ratios of goods demanded depend only on relative prices, not on incom...
Found on http://www-personal.umich.edu/~alandear/glossary/

homothetic

Let u(x) be a function homogeneous of degree one in x. Let g(y) be a function of one argument that is monotonically increasing in y. Then u(g()) is a homothetic function of y. So a function is homothetic in y if it can be decomposed into an inner function that is monotonically increasing in y and an outer function that is homogeneous of degree one ...
Found on http://www.econterms.com/glossary.cgi?query=homothetic