“…Any set of consumers with IB/ESE preferences must also have shape-invariant Engel curves. Estimates, tests, and theory regarding IB/ESE scales include Lewbel (1989), Blundell and Lewbel (1991), Blackorby and Donaldson (1993), Jorgenson and Slesnick (1987), Dickens, Fry, and Pashardes (1993), Pashardes (1995), Gozalo (1997), Pendakur (1998), Blundell et al (1998), Lyssiotou (2003), Yatchew et al (2003), and Stengos et al (2006).…”