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4803ex2bsol - Name ISyE 4803A Supply Chain Economics Exam 2...

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Name_______________________________ ISyE 4803A Supply Chain Economics Exam 2 – Spring 2009 By signing this you agree that all work on this exam is your own, you satisfy all conditions of the honor code, and that you did not use any additional materials/notes and or your calculator for anything other than for calculations. In addition, you agree that if you break any of the above conditions, your exam score will be changed to a 0. _____________________________________________ Signature ( note: exams not signed will not be graded ) 1. ( 15 pts ) Find all Nash equilibria (pure and mixed action) for the game. Assume player 1 is the row player and player 2 the column player. Also, from among the NE you find, state which are Pareto efficient. A1 A2 A1 -2,-3 2,-4 A2 -3,2 3,3
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2. ( 21 pts ) For the network below, each flight leg has a capacity of 100 seats. Write the dual formulation to compute the shadow prices for the data given in the table. Origin Destination Class Price Demand A B 1 700 20 A C 1 300 33 A E 1 500 19 A E 2 300 40 B C 1 600 15 B D 1 200 35 B E 1 500 22 C D 1 400 20 C D 2 180 43 C E 1 300 29
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