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2. Suppose you want to invest $10,000 for a period of 5 years. After getting financial advice, you come up with the following game matrix,
2. Suppose you want to invest $10,000 for a period of 5 years. After getting financial advice, you come up with the following game matrix, where you (R) are playing against the economy (C). Each entry in the matrix is the expected payoff (in dollars) after 5 years for an investment of $10,000 in the corresponding row designation with the future state of the economy in the corresponding column designation. (The economy is regarded as a rational player who can make decisions against the investor -in any case, the investor would like to do the best possible, irrespective of what happens to the economy.) Economy C Fall Same Rise 5-year CD 3,150 3,150 3,150 Investor R Blue-chip Stocks 3,700 2,000 6,000 Speculative Stock -8,000 -1,000 12,000 a. Identify any saddle values (circle it). b. What are the optimal strategies for each player? c. What is the value of the game?3a. What is the value of a fair game? 3b. In your own words explain expected value. 3c. In your own words, explain R's strategy in a mixed strategy game. 3d. How do you recognize a "Pure Strategy?" 4. Solve the matrix games. Indicate optimal strategies and the value of the game. 3 4 6 2
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