 Press and Dyson emphasize strategies like SET-2 and EXTORT-2. If Player One adopts SET-2, then Player Two will get a payoff of 2 no matter what strategy she employs. In the memory-one 2IPD a player can set his opponent's strategy to any value between the punishment and reward payoffs. Hilbe et al. call such strategies “equalizer” strategies, but in our context perhaps “dictator” would be a better label. If Player One knows about the dictator strategies and knows Player Two to be a naïve utility-maximizer, he can trick her into playing a strategy that suits him by raising the level to which he sets her payoff when her recent play satisfies his desires. Of course, a more witting Player Two might realize that the same dictatorial strategies are available to her. These will be of no use, however, unless they lead to a shift in Player One's behavior. If the existence of the dictator strategies is common knowledge for the two players, then they might profitably agree to set each other's scores to the reward payoff. Since each is employing a dictator strategy, neither can benefit in the short term by deviating. If either deviates in hopes of a long term gain, the other could detect it by the change in his or her own payoff and take retaliatory action. Whether such an agreement is stable, of course, depends on whether the players can make their threats of retaliation credible.