= 27d567bc2d48d9f40e9ccc20ea370b15)
VAuroch comments on A simple game that has no solution - Less Wrong Discussion
You are viewing a comment permalink. View the original post to see all comments and the full post content.
= 783df68a0f980790206b9ea87794c5b6)
Loading…= b715d02e85f7b3b4ae65ca3d3e450868)
Subscribe to RSS Feed
Powered by Reddit
= f037147d6e6c911a85753b9abdedda8d)
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (123)
First, you are implicitly using circular reasoning. You can not tell me that picking B or C is irrational until you tell me what beliefs Player 2 would have if B or C were picked.
Also, imagine you are playing the game against someone you think is rational. You are Player 2. You are told that A was not picked. What do you do?
If I think Player 1 is rational, I assume he must be modeling my decision-making process somehow. If his model of my decision-making process has picking B or C seems rational, he must be modeling my choice of X and Y in a way that gives him a chance of a higher payoff than he can get by choosing A. Since every combination of (B,C) and (X,Y) is lower than his return from A except [C,Y], no model of my decision-making process would make B a good option, while some models (though inaccurate) would recommend C as a potentially good option. So while it's uncertain, it's very likely I'm at C. In that case, I should pick X, and shake my head at my opponent for drastically discounting how rational I am, if he thought he could somehow go one level higher and get the big payoff.