Our model assumes that the effect of loss-feedback does not eliminate the model of the opponent, but rather depresses it temporarily. Thus, we should expect that win-loss feedback has a large effect on the next-trial choice, and either no, or only a small effect thereafter. The figure shows for Experiment 1 the switch-rate function from Figure 2, but further conditioned on the trial n-2 win-loss feedback. As apparent, choice behavior is dominated by the effect of trial n-1 feedback. Error bars show 95% within-subject confidence intervals. There was small additional effect of trial n-2 feedback, such that model-based behavior was strengthened following two consecutive wins and stochastic behavior was strengthened following two loss trials (i.e., after two win-trial in a row, the switch-rate function slope becomes more positive, after two loss-trials the function becomes more shallow). Analyzing these data with an ANOVA with the factors trial n-2 and trial n-1 feedback as well as a linear contrast for the opponent switch-rate factor, revealed a strong n-1 feedback x switch-rate interaction, F(1,51)=58.45, p<0.001, eta2 = 0.53, and a much weaker, but still reliable n-2 feedback x switch-rate interaction, F(1,51)=15.02, p<0.001, eta2 = 0.23, and no three-way interaction, F(1,51)=.25, p=0.91. The results from the remaining experiments were similar to this pattern, and if anything, showed slightly weaker n-2 feedback effects than in Experiment 1. The fact that there was a small, cumulative effect of trial n-2 feedback indicates some degree of adaptation to consistent win or loss feedback contingencies. Yet, the fact that choices are mainly dominated by trial n-1 feedback indicates quick recovery of the last-used model representation following a subsequent win.