Global regulatory competition is a recent phenomenon that confronts us in various different fields, ranging from food and chemical safety to climate change, and animal welfare to environmental law. The digital economy is not immune to this trend, and it seems highly unlikely that this will soon come to an end when we consider the radical differences between the European Union and the United States with respect to the importance they assign to the right to privacy and the right to freedom of speech. Nevertheless, despite their differences in content, it can be contended that they both tend to disregard the interest of others even though they have enough resources at their disposal to take them seriously. This becomes visible when the recent case law of the CJEU and the recent regulations such as the GDPR and the US CLOUD Act are taken into account. Their similar attitude to regulating for the globe raises the question of whether we are confronted with a new type of Eurocentrism, which is more contracted and introverted than the previous expansionist version. The article argues that unilateralism should be a selfless one and that it should necessarily consider outsiders if it is to acquire legitimacy.