This study reports on an experiment using variations of the ultimatum game. The experiment controls the amount and type of information known to the responder in the game. In two treatments, she knows both the absolute (money) and relative (fairness) payoffs from an offer. In the other two, she knows either only the absolute or only the relative payoffs. The predictions of four models for these treatments are tested: subgame-perfection, Bolton's comparative equilibrium, Ochs and Roth's absolute threshold, and Ochs and Roth's percentage threshold hypothesis.