        8.  The Ubiquitous Converse Lawvere Problem   post by Scott Garrabrant 827 days ago  Marcello Herreshoff, Sam Eisenstat, Jessica Taylor and Patrick LaVictoire like this  discuss  
 In this post, I give a stronger version of the open question presented here, and give a motivation for this stronger property. This came out of conversations with Marcello, Sam, and Tsvi.
Definition: A continuous function \(f:X\rightarrow Y\) is called ubiquitous if for every continuous function \(g:X\rightarrow Y\), there exists a point \(x\in X\) such that \(f(x)=g(x)\).
Open Problem: Does there exist a topological space \(X\) with a ubiquitous function \(f:X\rightarrow[0,1]^X\)?
 
        15.  Entangled Equilibria and the Twin Prisoners' Dilemma   post by Scott Garrabrant 886 days ago  Vanessa Kosoy and Patrick LaVictoire like this  2 comments  
 In this post, I present a generalization of Nash equilibria to nonCDT agents. I will use this formulation to model mutual cooperation in a twin prisoners’ dilemma, caused by the belief that the other player is similar to you, and not by mutual prediction. (This post came mostly out of a conversation with Sam Eisenstat, as well as contributions from Tsvi BensonTilsen and Jessica Taylor)  
           
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