If B's response was the same as A's had been, no changes occurred in whether the stimuli remained R's or L's. If, however, B made a left hand response to A's right hand response, all the R stimuli that A had sampled in his set became L stimuli, in accordance with Estes' formulation of the conditioning process. In the simulations reported here, either one stimulus was sampled on a trial, or three were sampled, eliminating the possibility of a tie, so resulting response probabilities were unambiguously for either right or left hand responses. The results of the various simulations were quite interesting in their own right, apart from the question of how or whether they shed light on behavioral oscillation. First of all, the problem of asymptotes that Kemeny resolved by postulating that each partner to the interaction had to start half the time is a necessary given in the simulations.
Someone has to respond first.
It turns out that the person who makes the second response ends up by dominating the interaction. The Kemeny-Green model was confirmed with respect to the predictions concerning domination of the interaction by a slower learner. With stimulus sets of 10 and sampling three stimuli at a time, the faster learner not only converged toward the slower learner's initial position, he was soon trapped in it. Convergence was not to an intermediate point, but to the boundary condition itself. With a larger sampling ratio, the same was true of the advantage enjoyed by a person entering second into the interaction.