Those who pick a carrot after hearing Omega’s prediction, or without hearing the prediction? Those are two very different situations, and I am not sure which one you meant.
That’s a good point. I agree with you that it is crucial to keep apart those two situations. This is exactly what I was trying to address considering Newcomb’s Problem and Newcomb’s Soda. What do the agents (previous study-subjects) know? It seems to me that the games aren’t defined precise enough. Once we specify a game in a way that all the agents hear Omega’s prediction (like in Newcomb’s Problem), the prediction provides actionable advice as all the agents belong to the same reference class. If we, and we alone, know about a prediction (whereas other agents don’t) the situation is different and the actionable advice is not provided anymore, at least not to the same extent. When I propose a game where Omega predicts whether people pick carrots or not and I don’t specify that this only applies to those who don’t know about the prediction then I would not assume prima facie that the prediction only applies to those who don’t know about the prediction. Without further specification, I would assume that it applies to “people” which is a superset of “people who know of the prediction”.
That’s a good point. I agree with you that it is crucial to keep apart those two situations. This is exactly what I was trying to address considering Newcomb’s Problem and Newcomb’s Soda. What do the agents (previous study-subjects) know? It seems to me that the games aren’t defined precise enough.
Once we specify a game in a way that all the agents hear Omega’s prediction (like in Newcomb’s Problem), the prediction provides actionable advice as all the agents belong to the same reference class. If we, and we alone, know about a prediction (whereas other agents don’t) the situation is different and the actionable advice is not provided anymore, at least not to the same extent.
When I propose a game where Omega predicts whether people pick carrots or not and I don’t specify that this only applies to those who don’t know about the prediction then I would not assume prima facie that the prediction only applies to those who don’t know about the prediction. Without further specification, I would assume that it applies to “people” which is a superset of “people who know of the prediction”.