Newcomblike decision problems
“Newcomblike decision problems” are scenarios in which your choice correlates with the outcome by some pathway other than the direct physical consequences of your act—for example, because somebody else is predicting you; or you’re interacting with someone very similar to yourself; or people with different genes behave differently. Newcomblike problems force splits between different decision theories that would give the same answer in more “normal” problems. Perhaps the most realistic Newcomblike problem is , where a large population of voters probably contains at least some people similar to you. The class of scenarios as a whole is named after the (less realistic) Newcomb’s Problem.
- 99LDT x 1CDT oneshot PD tournament as arguable counterexample to LDT doing better than CDT
Arguendo, if 99 LDT agents and 1 CDT agent are facing off in a one-shot Prisoner’s Dilemma tournament, the CDT agent does better on a problem that CDT considers ‘fair’.
- Newcomb's Problem
There are two boxes in front of you, Box A and Box B. You can take both boxes, or only Box B. Box A contains \(1000. Box B contains \)1,000,000 if and only if Omega predicted you’d take only Box B.
- Prisoner's Dilemma
You and an accomplice have been arrested. Both of you must decide, in isolation, whether to testify against the other prisoner—which subtracts one year from your sentence, and adds two to theirs.
- Absent-Minded Driver dilemma
A road contains two identical intersections. An absent-minded driver wants to turn right at the second intersection. “With what probability should the driver turn right?” argue decision theorists.
- Death in Damascus
Death tells you that It is coming for you tomorrow. You can stay in Damascus or flee to Aleppo. Whichever decision you actually make is the wrong one. This gives some decision theories trouble.
- 'Rationality' of voting in elections
“A single vote is very unlikely to swing the election, so your vote is unlikely to have an effect” versus “Many people similar to you are making a similar decision about whether to vote.”
- Toxoplasmosis dilemma
A parasitic infection, carried by cats, may make humans enjoy petting cats more. A kitten, now in front of you, isn’t infected. But if you want to pet it, you may already be infected. Do you?
- Transparent Newcomb's Problem
Omega has left behind a transparent Box A containing \(1000, and a transparent Box B containing \)1,000,000 or nothing. Box B is full iff Omega thinks you one-box on seeing a full Box B.
- Parfit's Hitchhiker
You are dying in the desert. A truck-driver who is very good at reading faces finds you, and offers to drive you into the city if you promise to pay $1,000 on arrival. You are a selfish rationalist.
- Ultimatum Game
A Proposer decides how to split $10 between themselves and the Responder. The Responder can take what is offered, or refuse, in which case both parties get nothing.
- Logical decision theories
Root page for topics on logical decision theory, with multiple intros for different audiences.