Dillards is a regional upscale department store with locations across the Southern, Southwestern, and Western United States. Think of all the regional stores that existed before Macy's bought everything... Marshall Fields, Hudson's, Dayton's, Carson Piece Scott, Goldwater's, The Broadway, etc. It is not an off price store like TJ Maxx.
We had Dillards in Ohio as well. Ours was a slightly more upscale version of Macy's, but certainly nothing like Nordstrom.