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A Mathematician Plays Who Wants to Be a Millionaire?

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A Mathematician Plays Who Wants to Be a Millionaire?
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  Research areas: Applications of mathematics to complex systems inmanufacturing, communications, transport ....Typical problem: Suppose n users share files withone another using a peer-to-peer network . If atotal quantity of files Q are shared, the benefitto user i  is q  i  u(Q). We wish to choose Q tomaximize S i  q  i  u(Q) - c(Q) and ask each user to pay a part of the cost c(Q). What part of the cost can we ask of each user?How can we cope with the problem of free-loading?  A Mathematician PlaysWho Wants to be a Millionaire? Professor Richard WeberStatistical LaboratoryUniversity of Cambridge  01002005001000200040008000160003200064000125000250000500000100000030000000100010001000100010003200032000320003200032000 Who Wants to be a Millionaire?15 questions away from a £1,000,000 Right answerWrong answer  Useful Mathematics•Probability•Optimization using StochasticDynamic Programming•Statistics
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