A gambler has $3 in hand and has to play a game 3 times. For each...
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A gambler has $3 in hand and has to play a game 3 times. For each game, the change of winning is 0.4, chance of losing is 0.3, and chance of fair is 0.3. The gambler can only bet positive integers less than or equal to the amount of money the gambler currently has. If he wins, he can win a profit equal to the bets. His goal is to find a policy that maximizes the chance of ending up with at least $5. (1) Formulate this problem into a DP problem, and write down the Bellman Equation. (2) What is the optimal policy? A gambler has $3 in hand and has to play a game 3 times. For each game, the change of winning is 0.4, chance of losing is 0.3, and chance of fair is 0.3. The gambler can only bet positive integers less than or equal to the amount of money the gambler currently has. If he wins, he can win a profit equal to the bets. His goal is to find a policy that maximizes the chance of ending up with at least $5. (1) Formulate this problem into a DP problem, and write down the Bellman Equation. (2) What is the optimal policy?
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Answer 1 Formulation as a DP problem and Bellman Equation Lets formulate this problem as a dynamic p... View the full answer
Related Book For
Managerial Economics
ISBN: 978-1118808948
8th edition
Authors: William F. Samuelson, Stephen G. Marks
Posted Date:
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