Fixed Point Theorems

Edited by Ben Pace last updated 17th Jul 2020

Fixed Point Theorems are very general theorems in mathematics that show for a given function and input $x$ that $f (x) = x$ . We say that the input $x$ is a fixed point for the function $f$ .

These come up most commonly on LessWrong in work around Embedded Agency research, as well as in discussion of game theory.

Posts tagged Fixed Point Theorems

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45Fixed Point Discussion

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Scott Garrabrant

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64Fixed Point Exercises

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Scott Garrabrant

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71Topological Fixed Point Exercises

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Scott Garrabrant, SamEisenstat

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65FixDT

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abramdemski

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40Diagonalization Fixed Point Exercises

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Scott Garrabrant, SamEisenstat

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33Iteration Fixed Point Exercises

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Scott Garrabrant, SamEisenstat

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21Using modal fixed points to formalize logical causality

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cousin_it

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5On decision-prediction fixed points

jollybard

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49Self-confirming predictions can be arbitrarily bad

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Stuart_Armstrong

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41When wishful thinking works

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AlexMennen

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31Fixed points and free will

Ege Erdil

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Fixed Point Theorems