- problem statement:
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suppose you are given data regarding 6 routes from A to B which
you typically take to work
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each route costs 1, 2, 3, 4, 5 and 6 dollars
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The average cost is 2.5 dollars
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What is the ME probability distribution describing your choice
of a route on a particular day?
- solution:
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If we use the distribution with maximum entropy -- solution is
a uniform distribution
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the above does not consider the constraints at hand
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in true ME framework, solution is p1 = 0.3475 ......
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note that the solution is an exponential model involving
the constraints