Dominant American online platforms like Amazon Alexa or Google Assistant have become Life Control Interfaces (LCIs), which facilitate consumers' online interactions and influence what consumers do and do not see and buy. These platforms operate outside of EU regulation, and create significant costs for traditional European firms in a wide range of industries. These platforms can reduce firms' access to customers, can charge for enabling access to customers, or can charge for access to essential data on firms' customers. Since these platforms enjoy monopoly power there is little restraint on their charges, which indirectly increase consumers' prices. We propose that regulators encourage the formation of a consortium to offer a single integrated EU-based Life Control Interface (EuLCI). This consortium would increase the number of EuLCIs from zero to one, and thus would actually increase consumer choice. We call cooperation that enhances rather than limits choice The Cooperation Paradox.