Exhibit 99.1 Dillard’s, Inc. Reports First Quarter Results LITTLE ROCK, Ark. (BUSINESS WIRE) – May 16, 2024 - Dillard’s, Inc. (NYSE: DDS) (the “Company” or “Dillard’s”) announced operating results for the 13 weeks ended May 4, 2024. This release contains certain forward-looking statements. Please refer to the Company’s cautionary statements included below under “Forward-Looking Information.” Dillard’s Chief Executive Officer William T. Dillard, II stated, “While the consumer environment remained challenging ...