No, because she might start out with more Snickers than Milky

Ways. For example, if Alice starts out with (2 Snickers and 0

Milky Ways), she would rather obtain one additional Milky

Way than one additional Snickers. The former gift would raise

her to the 14th spot on her preference ranking, whereas the

latter would raise her only to the 19th. (She would start at the

21st spot.) Note that in a sense, it's inaccurate to say "Alice

likes Snickers more than Milky Ways" for this very reason, but

of course in everyday language we speak like this all the time.