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Lewbel (1989) offered a demand model which nested both the indirect translog (ITL) of Christensen, Jorgensen, and Lau (1977) and almost ideal demand system (AIDS) of Deaton and Muellbauer (1980a, 1980b). It has the advantage, then of allowing the applied demand analyst to test the restrictions...
This paper derives a set of linear and nonlinear restrictions to make a n-goods linear almost ideal demand system (AIDS) symmetric when all prices are allowed to vary. When prices are scaled by their means, the conventional restricitons are sufficient to make the linear AIDS symmetric at mean....