Revealed preference with a subset of goods
Suppose that you observe n choices of k goods and prices when the consumer is actually choosing from a set of \(k+1\) goods. Then revealed preference theory puts essentially no restrictions on the behavior of the data. This is true even if you also observe the quantity demanded of good \(k+1\), or its price. The proofs of these statements are not difficult.
scientific article; zbMATH DE number 4060930