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# In the Hollywood movie "A Beautiful Mind", Russel Crowe plays John Nash who developed the Nash Equilibrium concept in his PhD thesis at Princeton...

In the Hollywood movie “A Beautiful Mind”, Russel Crowe plays John Nash who developed the Nash Equilibrium concept in his PhD thesis at Princeton University. In one of the early scenes of the movie, Nash finds himself in a bar with three of his fellow (male) mathematics PhD students when a group of five women enters the bar. The attention of the PhD students is focused on one of the five women, with each of the four PhD students expressing interest in asking her out. Suppose we simplified the example to one in which it was only Nash and one other student encountering a group of two women. We then have two pure strategies to consider for each PhD student: Pursue woman A or pursue woman B. Suppose that each viewed a date with woman A as yielding a “payoff ” of 10 and a date with woman B as yielding a payoff of 5. Each will in fact get a date with the woman that is approached if they approach different women, but neither will get a date if they approach the same woman in which case they both get a payoff of 0.

In the Hollywood movie “A Beautiful Mind”, Russel Crowe plays John Nash who developed the Nash Equilibrium
concept in his PhD thesis at Princeton University. In one of the early scenes of the...

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