Assignment:
There are two people playing a two-person constant-sum game. Player 1 wants to travel from New York to Dallas using the shortest of the possible routes listed below. Player 2 has the ability to block one route out of Atlanta and one route out of Nashville. Player 1 will not know which roads are blocked until the arrival at Atlanta or Nashville. Should Player 1 start towards Atlanta or Nashville? Which routes should Player 2 block?
|
Route
|
Length of Route
(miles)
|
|
New York -Atlanta
|
800
|
|
New York -Nashville
|
900
|
|
Nashville-St. Louis
|
400
|
|
Nashville-New Orleans
|
200
|
|
Atlanta-St. Louis
|
300
|
|
Atlanta-New Orleans
|
600
|
|
St. Louis-Dallas
|
500
|
|
New Orleans-Dallas
|
300
|
|
Complete routes
|
Total
|
-
|
New York Atlanta St. Louis Dallas
|
|
|
|
|
800
|
300
|
500
|
1600
|
-
|
New York Atlanta New Orleans Dallas
|
|
|
|
|
800
|
600
|
300
|
1700
|
-
|
New York Nashville St. Louis Dallas
|
|
|
|
|
900
|
400
|
500
|
1800
|
-
|
New York Nashville New Orleans Dallas
|
|
|
|
|
900
|
200
|
300
|
1400
|
Provide complete and step by step solution for the question and show calculations and use formulas.