I think this is a feature of utility functions rather than the IIA assumption; they are unique up to a scaling and offset (positive affine transformation). See this wikipedia article for more. The intuition is that, adding an offset to the whole function, or rescaling it does change the relative comparisons of different points on that function and thus doesn’t change the choices for an agent with that utility function.
I think this is a feature of utility functions rather than the IIA assumption; they are unique up to a scaling and offset (positive affine transformation). See this wikipedia article for more. The intuition is that, adding an offset to the whole function, or rescaling it does change the relative comparisons of different points on that function and thus doesn’t change the choices for an agent with that utility function.