This article develops a general theory of bargaining between a minority, its host state, and outside lobby actor to explain why minorities shift their demands from affirmative action to cultural autonomy to secessionism and back, often in the absence of clear economic or security incentives. This paper uses a simple game tree model to show that if a minority believes that it enjoys significant support from a powerful national homeland or other external actor, it radicalized its demands against the host state, even if the center has credibly committed to protect minority rights. Conversely, if a minority believes that it enjoys no external support, then it will accommodate the host state, even in the presence of significant majority repression. As a general theory of claim-making, this model challenges structural theories of demands that rely on static economic differences or historical grievances to explain claim-making. It also challenges security dilemma arguments that hold that minority radicalization is mainly a function of ethnic fears. The model's hypotheses are tested using longitudinal analysis of Hungarians in Vojvodina during the 1990s, as the Yugoslav dog that ''barked but did not bite.'' Careful examination of claim-making in this case demonstrates the superior explanatory power of the ethnic bargaining model as compared with dominant theories of minority mobilization in the literature.