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Old 01-17-2009, 09:05 PM  
gideongallery
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Join Date: Aug 2003
Posts: 7,082
Quote:
Originally Posted by mynameisjim View Post
The Nash equilibrium has holes in it and recent work by game theorists are starting to prove that.

A simple game called the Travelers Dilema by Kaushik Basu shows that.

A Nash equilibrium is not gospel and it is way overused in systems where it really has no application.
i suggest you reread the travelers dilema

look carefully at Payoff matrix of the dilema when you do that you realize that travelers dilema is infact a non binomial varient of the nash equilibrium

(in the same way as the three gun man solution)

Quote:
iterative deletion of dominated strategies in order to demonstrate the Nash equilibrium
to many people confuse the simplist example (prisoners dilema) with everything nash came up with.

f(n) in a nash equibrium is not limited to f(2).

Hense multi-participant competitions like the 3 gun man solution.
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