Star Wars Game Theory

In the original Star Wars movie (Episode IV), Luke Skywalker pleads with Han Solo to help the Rebel Alliance battle the Empire, but Han refuses and a disgusted Luke storms off. Chewbacca, being a student of game theory, lays out the payoff bimatrix to Han in their “conversation”:

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Han understands that the Rebels have a dominant strategy of fighting. Knowing that, although he has no dominant strategy, and being the self-centered person he has already shown himself to be, Han realizes he is better off choosing to aid the Rebels and fight. (Fight, Fight) is a Nash equilibrium and also a Pareto optimum. I wonder how many other Star Wars games there are.

(Hat tip: J.S.)

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COMMENTS: 50

  1. Mahdi says:

    Brilliant!

    I don’t know about Star Wars but as an example, The Dark Knight is a roller coaster of game theory.

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  2. goong haeng says:

    This is just awesome!

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  3. Laura says:

    How about “Let the wookie win”?

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  4. Tommy in the Beanfields says:

    Uhhh. Could someone translate that for mere mortals?

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  5. Hobbes says:

    what do the numbers represent

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  6. Jan says:

    Strong with the force he is.
    Brilliant!

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  7. Imad Qureshi says:

    This is awesome…Knowing that Rebel alliance will chose to fight, Han Solo is better off fighting…

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  8. Steven F. says:

    This is ridiculous. Everyone knows that if it wasn’t for the Millennium Falcon, the Rebel Alliance would have been screwed. Luke was so close to being vaporized until chewy and the gang decided to save his butt. The Rebel Alliance should have a net loss in all circumstances except if Han Solo chose to fight along side with them.

    This game isn’t even correct because the game that was played was between Han and Leia. Han wouldn’t have shown up if it wasn’t for Leia giving him the guilt lashing. Han was obviously trying to impress her in order to satisfy his man urges. Rational choice theory would support this.

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