If one assumes that receptor cross-linking is a necessary, but not sufficient condition for cellular activation, a number of predictions can be made bearing on the physical chemical properties of the cells selected. In this paper we show that the following response characteristics can be consequences of a cross-linking requirement. (1) Small sparsely haptenated antigens such as DNP 10BSA are expected to elicit a response that matures, and such maturation can occur even with antigenic determinant density in excess over the concentration of cellular receptors. (2) There is an optimal concentration for activation of cells with a given affinity, and therefore an optimally immunogenic dose. (3) The optimal dose is relatively insensitive to antigen valence. (4) Increasing valence increases the breadth of the affinity distribution. (5) For supra optimal doses of antigen, unresponsiveness will be preferentially induced in high affinity cells. (6) Small densely haptenated antigens (e.g. DNP 40BSA) are not expected to elicit responses that mature as quickly as those that are lightly coupled. (7) Large polymeric antigens are not expected to induce responses that mature. (8) Antigens with low determinant density may induce tolerance in vivo but not in vitro. The predictions are briefly discussed in the context of relevant experimental data.