Why do people who normally refrain from committing illegalities become digital pirates? In this paper we use a thoretical model of digital piracy combined with a game-theoretic mechanism of social norm formation to argue that no social stigma is attached to digital piracy because the latter has no perceived social cost; therefore, there is no pressure to build a norm condemning it. However, there also exists a "sophisticate" form of piracy focused on high-quality copies, and not on Internet downloads and black market purchases of low-quality copies like the most common form. Somewhat paradoxically, sohisticate piracy could help to generate a social attitude against piracy, because it is self-containing. However, it is limited in its scope, and it is difficult to predict whether it might ever become sufficiently widespread to effectively engender the formation of anti-piracy social norms.