  As AI technology advances rapidly, concerns over the risks of bigness in
digital markets are also growing. The EU's Digital Markets Act (DMA) aims to
address these risks. Still, the current framework may not adequately cover
generative AI systems that could become gateways for AI-based services. This
paper argues for integrating certain AI software as core platform services and
classifying certain developers as gatekeepers under the DMA. We also propose an
assessment of gatekeeper obligations to ensure they cover generative AI
services. As the EU considers generative AI-specific rules and possible DMA
amendments, this paper provides insights towards diversity and openness in
generative AI services.
