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Suppose that the speed limit is 1'0 miles per hour on the freeway and that :1 drivers simultaneously and independently choose speeds from 70 to

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Suppose that the speed limit is 1'0 miles per hour on the freeway and that :1 drivers simultaneously and independently choose speeds from 70 to 100. Everyone prefers to go as fast as possible, other things equal, but the police ticket any driver whose speed is strictly faster than the speeds of a frac- tion x of the other drivers, where x is a parameter such that 0 S x E i. More preciseiy, for a given driver. let m denote the number of drivers that choose strictly lower speeds; then, such a driver is ticketed if and only if m/(n 1) > x. Note that by driving 70, a driver can be sure that he will not be ticketed. Suppose the cost of being ticketed outweighs any benet of going faster

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