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   Author  Topic: Infinite games  (Read 275 times)
mistaken_id
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Infinite games  
« on: Mar 12th, 2009, 5:00pm »		 Quote Quote Modify Modify
Why is Co-operation a nash equilibrium when two players play prisoners dilemma infinitely many times?
 
If any one of you dont know what a prisoners dilemma is  
 
http://en.wikipedia.org/wiki/Prisoner%27s_dilemma
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towr
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Re: Infinite games  
« Reply #1 on: Mar 13th, 2009, 2:12am »		 Quote Quote Modify Modify
Both players adopting the strategy of always cooperating isn't a Nash equilibrium. Because either is better off defecting as long as the other keeps cooperating.  
Both players adopting the tit-for-tat strategy is a Nash equilibrium, because neither player is, over the course of an infinite number of games, better off unilaterally switching to another strategy. And while they do end up always cooperating, it isn't quite the same thing.
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