Players from two populations, predictors and predictees, are randomly matched in a game--theoretic version of Newcomb's Problem. Predictors are able to predict the predictees' choices by observing their type. There are two types of predictees, those who take their predictability into account by...

The paper shows that being able to forecast another player's actual cooperation better than pure chance can change players' strategic incentives in a one-shot simultaneous PD-situation. In particular, it is shown that if both players have such ability (to forecast each others' actual choices...