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Transportation Economics/Agents/Solution2
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Problem Extension
3. What happens if there is a third price $300, for which demand is 375 passengers.
Reformulate the problem.
Solution
American $200 $300 $400 United$200 [0,0][50000,-50000][50000, -50000] $300 [-50000, 50000][6250, 6250][62500, -50000] $400 [-50000, 50000][-50000, 62500][0,0]
At [300,300] Each airline gets 375/2 share = 187.5 pax * $300 = $56,250, cost remains $50,000
At [300, 400], 300 airline gets 375*300 = 112,500 - 50000
What is the equilibrium in a non-cooperative, 1 shot game?
[$200,$200].
What is equilibrium in a repeated game?
Note: No longer zero sum.
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