(a)
The payoff matrix with entries in thousands dollars for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of
(b)
To calculate: The optimal strategy for the rumrunner for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of
(c)
To calculate: The optimal strategy for the coast guard for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of
(d)
To calculate: The value of the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of
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Finite Mathematics & Its Applications (12th Edition)
- Bob and Doug play a lot of Ping-Pong, but Doug is a much better player, and wins 80% of their games. To make up for this, if Doug wins a game he will spot Bob five points in their next game. If Doug wins again he will spot Bob ten points the next game, and if he still wins the next game he will spot him fifteen points, and continue to spot him fifteen points as long as he keeps winning. Whenever Bob wins a game he goes back to playing the next game with no advantage. It turns out that with a five-point advantage Bob wins 40% of the time; he wins 70% of the time with a ten-point advantage and 90% of the time with a fifteen-point advantage. Model this situation as a Markov chain using the number of consecutive games won by Doug as the states. There should be four states representing zero, one, two, and three or more consecutive games won by Doug. Find the transition matrix of this system, the steady-state vector for system, and determine the proportion games that Doug will win the long…arrow_forwardBob and Doug play a lot of Ping-Pong, but Doug is a much better player, and wins 80% of their games. To make up for this, if Doug wins a game he will spot Bob five points in their next game. If Doug wins again he will spot Bob ten points the next game, and if he still wins the next game he will spot him fifteen points, and continue to spot him fifteen points as long as he keeps winning. Whenever Bob wins a game he goes back to playing the next game with no advantage. It turns out that with a five-point advantage Bob wins 20% of the time; he wins 50% of the time with a ten-point advantage and 80% of the time with a fifteen-point advantage. Model this situation as a Markov chain using the number of consecutive games won by Doug as the states. There should be four states representing zero, one, two, and three or more consecutive games won by Doug. Find the transition matrix of this system, the steady-state vector for the system, and determine the proportion of games that Doug will win in…arrow_forward
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