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Au­mann’s Agree­ment Theorem

TagLast edit: 7 Feb 2021 23:46 UTC by Tetraspace Grouping

Aumann’s agreement theorem, roughly speaking, says that two agents acting rationally (in a certain precise sense) and with common knowledge of each other’s beliefs cannot agree to disagree. More specifically, if two people are genuine Bayesians, share common priors, and have common knowledge of each other’s current probability assignments, then they must have equal probability assignments.

Related tags and wikis: Disagreement, Modesty, Modesty argument, Aumann agreement, The Aumann Game

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Prob­a­bil­ity Space & Au­mann Agreement

Wei_Dai10 Dec 2009 21:57 UTC
47 points
76 comments5 min readLW link

The Modesty Argument

Eliezer Yudkowsky10 Dec 2006 21:42 UTC
45 points
40 comments10 min readLW link

Bayesian Judo

Eliezer Yudkowsky31 Jul 2007 5:53 UTC
74 points
107 comments1 min readLW link

Au­mann Agree­ment Game

abramdemski9 Oct 2015 17:14 UTC
30 points
10 comments1 min readLW link

The Au­mann’s agree­ment the­o­rem game (guess 2/​3 of the av­er­age)

[deleted]9 Jun 2009 7:29 UTC
18 points
156 comments1 min readLW link

Scott Aaron­son: Com­mon knowl­edge and Au­mann’s agree­ment theorem

gjm17 Aug 2015 8:41 UTC
23 points
4 comments1 min readLW link
(www.scottaaronson.com)

Au­mann Agree­ment by Combat

roryokane5 Apr 2019 5:15 UTC
14 points
2 comments1 min readLW link
(sigbovik.org)

Au­mann vot­ing; or, How to vote when you’re ignorant

PhilGoetz2 Apr 2009 18:54 UTC
12 points
38 comments2 min readLW link

An ex­pla­na­tion of Au­mann’s agree­ment theorem

Tyrrell_McAllister7 Jul 2011 6:22 UTC
13 points
18 comments1 min readLW link

Au­mann’s Agree­ment Revisited

agilecaveman27 Aug 2018 6:21 UTC
4 points
1 comment7 min readLW link

Sta­tus Reg­u­la­tion and Anx­ious Underconfidence

Eliezer Yudkowsky16 Nov 2017 19:35 UTC
61 points
10 comments21 min readLW link

The Er­ror of Crowds

Eliezer Yudkowsky1 Apr 2007 21:50 UTC
22 points
13 comments4 min readLW link

The Me­chan­ics of Disagreement

Eliezer Yudkowsky10 Dec 2008 14:01 UTC
13 points
26 comments4 min readLW link

Why is the sur­pris­ingly pop­u­lar an­swer cor­rect?

Stuart_Armstrong3 Feb 2017 16:24 UTC
39 points
13 comments3 min readLW link

[Question] How to build com­mon knowl­edge of ra­tio­nal­ity and hon­esty?

MikkW21 Feb 2021 6:07 UTC
4 points
4 comments1 min readLW link