Consider the payoff matrix listed below: |1, -1 3, 0 2, 1 |R |0, 3 |1, 2 |0, 0 3, 1 5, 3 2, 1 What is the best response to "R" a. U b. C C. B d. U, C
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- 5) The following is a matrix represantation of a simultaneously played game. Alice/Bob Film Ball Game 4,2 0,0 0,0 1,3 a) Draw players' best response functions agains each other Film Ball GameUse the following payoff matrix for a simultaneous-move one-shot game to answer the accompanying questions. Player 2 Strategy C D E F Player 1 A 9, 8 14, 14 18, 25 12, 19 B 23, 13 10, 18 14, 26 19, 21 a. What is player 1’s optimal strategy? multiple choice Strategy B Strategy A Player 1 does not have an optimal strategy. b. Determine player 1’s equilibrium payoff. Prev200- 100- 66.7-- 50- a B's best response 50 100 66.7 B) 50 pizzas. A's best response C) 25 pizzas. The above figure shows the reaction functions for two pizza shops in a small isolated town. The Stackelberg leader will produce A) 100 pizzas. 200 D) 66.7 pizzas. 4p S E
- a. b. Each firm has four alternative strategies, and a certain profit/payoff is associated with each strategy. The numbers in the payoff matrix denote firm A's profit (in thousands of dollars). The total amount of profit that can be earned by the two firms together is $20000. (This is called a "constant sum game.") Firm B's profit is therefore $20000 minus firm A's profit. What strategies will the two firms select? Is the game strictly determined? If so, how much does each firm gain? B's strategies A's strategies ↓ Increase Advertising Decrease Price Increase Price Alter Product Increase Advertising 0 11 8 11 Decrease Price 8 10 6 2 Increase Price 7 12 15 Alter Product 4 15 3 12 Suppose now that due to a change in consumer preferences, firm A's "Increase Price" strategy pays off better than before when firm B elects to "Decrease Price," that is, the payoff rises from 6 to 14. What strategies will the two firms now select? Is the game strictly determined? If so, how much does each firm…Two rival companies competing in the same market need to decide their plans for future expansion of their stores. The Table below shows the possible outcomes of their mutually interdependent actions (payoffs are profits in £m) Giga Company Titanic Conglomerate No Change Refurbishment of existing stores Large Expansion No Change 30, 40 25, 35 15, 24 Refurbishment of existing stores 35, 30 28, 32 18, 33 Large Expansion 12, 22 18, 20 20, 25 The Nash equilibrium: (A) does not exist. (B) occurs when both firms choose Refurbishment of existing stores. (C) occurs when both firms choose Large Expansion. (D) occurs when both firms choose No Change.This Question: The adjacent payoff matrix has how many Nash equilibria? OA. Three O B. Two O C. Zero O D. One Firm B (B) Conduct research and development Do not conduct research and development Firm A (A) Conduct research and Do not conduct research and development development A: $2 million B: $2 million A: $6 million B: $3 million A: $4 million B: $7 million A: $1 million B: $1 million
- Refer to the following payoff table: Firm A's Advertising Budget Low Multiple Choice Medium High A D G $900, $900 Low $1,000, $800 Firm A High; Firm B Low Firm A Low; Firm B Low Firm B's Advertising Budget Medium B E H $820, $1,220 $950, $1,025 с F 1 High $875, $920 $800, $875 $1,025, $1,175 Using the method of successive elimination of dominated strategies, which strategies, if any, are eliminated after the first round? $1,060, $1,100 $1,040, $1,000Player 1 Cooperate (C) Defect (D) Cooperate (C) 3,3 8,0 Player 2 Defect (D) 0,8 1,1 In general, a combination of strategies is a Nash equilibrium if ... Every player is choosing a best response against the other players' strategies. Every player has a positive payoff. The players maximize the sum of their payoffs. The players choose identical strategies. If the game is repeated, which cooperative actions could benefit both players? O Both players choose C. Player 1 chooses C, Player 2 chooses D. O Player 1 chooses D, Player 2 chooses C. Both players choose D.From the given table, Soccer Penalty Kick Game Goalie Natural side Other for kicker side Natural side for kicker 64, 36 94, .06 Kicker Other side 89, 11 44, 56 a) Explain the Nash equilibrium b) Explain the pure strategy c) Explain the mixed strategy d) What are the expected probabilities, for Kicker and Goalie.
- A strategy is called a pure strategy if it involves choosing ________. a. an action that yields a higher payoff to the opponent b. one particular action for a situation c. an action that yields a zero payoff to the player d. different combinations of actions for a situationWhich of the following best describes a dominant strategy? Question 4Answer a. The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c. The strategy that a player chooses is independent of what the other player does d. The strategy that a player chooses maximizes joint payoffs for both playersWhen there's uncertainty as to the length of a game A. cooperation can potentially occur if trigger strategies are adopted. B. firms will randomize among the Nash equilibria. C. cooperation still does not occur, because cooperation unravels at the beginning of the game. D. firms will cooperate because they treat the game as one that is infinitely repeated.