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End game for game theorist


John NashIn a tragic event, John Nash, who’s life was immortalized in the 2001 movie “A Beautiful Mind” died (along with his wife) in a car accident just recently. They had just returned from Norway where Mr Nash received The Able Prize for solving a Geometry problem that had puzzled mathematicians. The Abel Prize (worth about 750,000 Euro) was established on 1 January 2002 and is awarded for outstanding scientific work in the Mathematics. Nash was recently employed as a senior research mathematician at Princeton University. He won the Nobel Prize in economics in 1994 for his work in game theory, which studies the dynamics of human rivalry. Wikipedia defines game theory as, “the study of mathematical models of conflict and cooperation between intelligent rational decision-makers.” Nash’s schizophrenia certainly contributed to his eccentric nature and this condition was skillfully integrated into the movie of his life. Nash was a mathematical brilliant mind and will be sadly missed.

Click here to see recent short films about mathematicians John Nash and Louis Nirenberg, winners of The Able Prize in 2015:

non-coop games

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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