The displacement thesis, which frames the current debate about arbitration, seems to commit a category error. Arbitration is not intelligible only as a stand-in for adjudication. Instead, the truth about arbitration is much more subtle and more variegated. In some cases, arbitration does indeed stand in for court-provided processes of dispute resolution, including adjudication. I shall call such arbitration third-party arbitration or arbitration as judging. But in other cases, arbitration replaces party-provided processes of dispute resolution, which possess their own immanent legitimacy, and in particular supplants the bargaining that precedes contracting. For reasons that will become apparent, I shall call this arbitration first-part...