Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10 5/3/83; site hou2b.UUCP Path: utzoo!linus!decvax!harpo!floyd!vax135!ariel!houti!hogpc!houxm!hou2b!nm From: nm@hou2b.UUCP Newsgroups: net.math Subject: "Newcomb situation" Message-ID: <140@hou2b.UUCP> Date: Mon, 31-Oct-83 12:56:57 EST Article-I.D.: hou2b.140 Posted: Mon Oct 31 12:56:57 1983 Date-Received: Thu, 3-Nov-83 05:15:50 EST Organization: Bell Labs, Holmdel NJ Lines: 24 Imagine, if you can, the following choice in what I shall call a "Newcomb situation." You are offered the contents of one or two boxes. The first is open and is seen to contain a thousand dollars; the other is closed and is said to contain either a million dollars or nothing. You may take whatever the closed box contains (call this the modest choice) or, if you prefer, the contents of both boxes (the ambitious choice). You are supposed to have the following information: (i) The set-up has been arranged by some superb predictor (SP) who has always correctly predicted your choice in similar situations and has nearly always correctly predicted the choices of other persons who resemble you. You therefore confidently expect that SP has correctly predicted your choice on this occasion. (ii) SP has already placed a million dollars in the closed box, if he predicted a "modest" choice. However, if he expected you to make the "ambitious" choice, or to evade a reasoned choice by tossing a coin (or randomising in some other way), he has left the closed box empty. Given that you are in such a "Newcob situation," how should you choose?