nigerweiss

Related to: Higher Than the Most High The linked post describes a game in which (I fudge a little), Omega comes to you and two other people, and ask you to tell him an integer. The person who names the largest integer is allowed to leave. The other two are killed. This got me thinking about variations on the same concept, and here's what I've come up, taking that game to be GAME0. The results are sort of a fun time-waster, and bring up some interesting issues. For your enjoyment... THE GAMES: GAME1: Omega takes you and two strangers (all competent programmers), and kidnaps and sedates you. You awake in three rooms with instructions printed on the wall explaining the game, and a computer with an operating system and programming language compiler, but no internet. Food, water, and toiletries are provided, but no external communication. The participants are allowed to write programs on the computer in a language that supports arbitrarily large numerical values. The programs are taken by Omega and run on a hypercomputer in finite time (this hypercomputer can resolve the halting problem and infinite loops, but programs that do not eventually halt return no output). The person who wrote the program with the largest output is allowed to leave. The others are instantly and painlessly killed. In the event of a tie, everyone dies. If your program returns no output, that is taken to be zero. GAME2: Identical to GAME1, except that each program you write has to take two inputs, which will be the text of the other players' programs (assume they're all written in the same language). The reward for outputting the largest number apply normally. GAME3: Identical to Game2, except that while you are sedated, Omega painlessly and imperceptibly uploads you. Additionally, the instructions on the wall now specify that your program must take four inputs - blackbox functions which represent the uploaded minds of all three players, plus a simulation of the room