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much better and clearer definition
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The '''Nash equilibrium''' is the expected behavior by many participants faced with making similar decisions. The "equilibrium" occurs when no participant would gain anything by only changing his own decision after learning of the other participants' decisions.  The implied assumption is that no other participant will change his decision.  A problem can have more than one Nash equilibrium.
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The '''Nash equilibrium''' is the set of decisions my multiple rivals when they maximize their individual self interests in a like-minded manner.
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The "equilibrium" occurs when no participant would gain anything by only changing his own decision when the other identically situated participants made the same decision.  A problem can have more than one Nash equilibrium.
    
The Nash equilibrium is named after John Nash, a mathematician.  It is a topic in [[game theory]], and its significance was recognized by award of the [[Nobel Prize]] in Economics.
 
The Nash equilibrium is named after John Nash, a mathematician.  It is a topic in [[game theory]], and its significance was recognized by award of the [[Nobel Prize]] in Economics.
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