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    Why so many keys?
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    (Original post by mathsguy123)
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    Since the total area is constant, we can work out Beth's area in terms of Amy's, and hence \pi_{Amy}(x,y) can be expressed soley in terms of Amy's area.

    Working out Amy's payoff for a general (x,y) is a bit of a pig as the formula is going to vary depending on where the intersection of x,y falls.

    I think there is some mileage in initially eliminating areas where there cannot be a Nash eqilibrium, so we don't need the formula for that area, and this will reduce the number of formulae you need to work out.
 
 
 
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Updated: March 14, 2018

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