AlexMennen comments on Averaging value systems is worse than choosing one - Less Wrong

5 Post author: PhilGoetz 29 April 2010 02:51AM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Article Navigation

Comments (56)

Comments (56)

You are viewing a single comment's thread.

Comment author: AlexMennen 30 April 2010 12:58:03AM 2 points [-]

Let there be N nodes. Let a be an agent from the set A of all agents. Let vai be the value agent a places on node i. Let wij be the weight between nodes i and j. Let the "averaged agent" b mean a constructed agent b (not in A) for which vbi = average over all a of vai. Write "the sum over all i and j of S" as sum_{i, j}(S).

Average IC = ICa = - sum{i, j} [wij x suma (vai x vaj)] / |A|

Expected IC from average agent b = ICb = - sum{i, j} [wij x (suma(vai) / |A|) x (sum_a(vaj) / |A|)]

Am I the only one who's completely lost by this?

Comment author: PhilGoetz 30 April 2010 01:35:53AM *  0 points [-]

I should have said that |A| means the number of agents in the set A. sum.a(v.aj) means the sum, over all agents, of the value they place on node j. 'x' means multiplication, not a variable. ICa and ICb are variables I defined, and maybe I should have written them on the left like so:

ICa := Average IC = ...

Powered by Reddit Powered by Reddit