A new information-based approach for estimating systems of many equations w
ith nonnegativity constraints is presented. This approach, called generaliz
ed maximum entropy (GME), is more practical and efficient than traditional
maximum-likelihood methods. The GME method is used to estimate an almost id
eal demand system for five types of meat using cross-sectional data from Me
xico, where most households did not buy at least one type of meat during th
e survey week. The system of demands is shown to vary across demographic gr
oups.