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I need help with econ multiple hw questions asap!
93) As the number of firms change in an oligopoly market, what will it become?
- A. As the number of firms increases, the market approaches a
monopoly market equilibrium - B. As the number of firms increases, the market approaches a competitive market equilibrium
- C. As the number of firms decreases, the market approaches a socially optimal equilibrium.
- D. As the number of firms decreases, the market approaches a cartel equilibrium.
92) Refer to the attached Table 40. If both stores follow a dominant strategy, what will SuperDuper Saver's growth-related profits be?
- A. $25
- B. $250
- C. $85
- D. $50
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- 5 Suppose two players play one of the two normal-form games shown in Figure 1. L U 0,-1 D 2,4 R 2,0 6,0 L U | 4,-1 D 2,-2 R 2,0Now suppose that Player 2 knows which game is being played, but Player 1 does not. Find the pure strategy Bayesian Nash equilibrium of this game.Table 17-6 Two home-improvement stores (Lopes and HomeMax) in a growing urban area are interested in expanding their market share. Both are interested in expanding the size of their store and parking lot to accommodate potential growth in their customer base. The following game depicts the strategic outcomes that result from the game. Increases in annual profits (in millions of dollars) of the two home-improvement stores are shown in the following figure. Lopes Do notincreasethe size of store and parking lot Increase the sizeof store and parking lot Lopes = 1.0 Lopes = 0.4 Increasethe size of store and parking lot HomeMax = 1.5 HomeMax = 3.4 HomeMax Lopes = 3.2 Lopes = 2.0 Do notincreasethe size of store and parking lot HomeMax = 0.6 HomeMax = 2.5 Refer to Table 17-6. When this game reaches a Nash equilibrium, annual profit will grow by a. $0.6 million for HomeMax and by $3.2 million for Lopes. b. $2.5 million for HomeMax and by $2.0 million for Lopes. c. $3.4 million for HomeMax and…Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table: Player 1 Player 2 Left Right Top 6 1 9 4 Bottom 2 4 5 3 where the number on the left is the payoff to Player 1, and the number on the right is the payoff to Player 2. D) What is Player 1’s maximin strategy?E) What is Player 2’s maximin strategy?F) If the game were played with Player 1 moving first and Player 2 moving second, using the backward induction method we went over in class, what strategy will each player choose?
- GAME UUU B1 Player B B2 A1 7,13 5, 10 A2 3,8 9,16 Player A A3 5,8 4,7 In Game UUU (see table above), assuming players move simultaneously, Player A choosing A1 and Player B choosing B3 is a Nash equilibrium. Player A choosing A3 and Player B choosing B2 is a Nash equilibrium. Both Player A choosing A1 and Player B choosing B1 and Player A choosing A2 and player B choosing B2 are Nash equilibria in pure strategies Player A choosing A1 and Player B choosing B2 is a Nash equilibrium.Q3. Explain the concept of mixed strategy and how to calculate the value of game. Also provide a suitable example for mixed strategy. Determine which of the following two-person zero-sum games are strictly determinable and fair. Give the optimum strategies for each player in the case of it being strictly determinable. I. I. a- Player A Player B B1 B2 B3 A1 8 4 A2 5 -1 b. I II II IV V I 4 -2 -2 3 1 A II 1 -1 III -6 -5 -2 -4 4 IV 3 1 -85. A game of Chicken is played by two lorry drivers who speed toward a narrow bridge. If one driver stops to let the other pass, they waste time, whereas the one who does not stop gets to their destination quicker. However, if both keep driving straight on then they crash. The game is played once, and drivers move simultaneously. Payoffs are given below (assume 0 < x < 10): Drive Stop Drive -10,-10 -x, 8 Stop 8,-1 0,0 (a) Find any pure strategy Nash equilibria of this game. (b) Find the mixed strategy Nash equilibrium of this game. (c) What happens to the column player's equilibrium mixed strategy as x increases? Explain why this happens. (d) Let x = 1. What are the rationalizable outcomes of this game? Do these offer a better prediction than the Nash equilibria?
- Team 2 plays A Team 2 plays B Team 1 plays A 0, 24 10, 10 Team 1 plays B 4, 4 24, 0 Consider the infinitely repeated version of the game above. Which of the following is the smallest discount factor such that the grim trigger strategy under which team 1 plays A and team 2 plays B until a team deviates, after which team 1 plays B forever and team 2 plays A forever is a Nash Equilibrium? O 1/2 O3/4 O 1/1007. Solving for dominant strategies and the Nash equilibrium Suppose Andrew and Beth are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Andrew chooses Right and Beth chooses Right, Andrew will receive a payoff of 6 and Beth will receive a payoff of 5. Andrew Left Right Left 8,4 5,4 Beth Right 4,5 6,5 The only dominant strategy in this game is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Andrew chooses and Beth choosesII. Determine which of the following two-person zero-sum games are strictly determinable and fair. Give the optimum strategies for each player in the case of it being strictly determinable. a- Player A Player B B1 B2 B3 A1 8 2 4 A2 5 -1 3 b. II II V V I -4 -2 -2 1 A II 1 -1 III -6 -5 -2 -4 4 IV 3 1 -6 0 -8 3.
- Two companies are playing the following entry game: Firm 2 Do Not Enter O 1/3 2/5 O 2/3 O 1/5 Enter 0 1 Do Not Enter Firm 1 0 0 0 -2 Enter In mixed-strategies Nash equilibrium Firm 1 enters the market with probability of: 1 -2Please look at the payoff matrix below which shows the benefits that would accrue to each player in a 2-player.non-sequential, non-repeated game. a) Identify the collusive (cooperative) equilibrium. b) Identify the secure strategy (maximin) equilibrium c) Identify the maximax equilibrium d) Identify the Nash equilibrium Apple Inc. Strategy 1 Strategy 2 Strategy 3 20 40 60 60 1000 200 Strategy A 70 50 90 Banana Inc. 400 70 300 Strategy B 40 80 100 90 150 80 Strategy C9. For the payoff matrix below, consider a sequential version of the game in which Player 2 moves first and then Player 1 moves second. Which of the following is not a correct statement? Player 1 Top Center Bottom Left 1,2 5,1 6,0 Player 2 Middle 7,1 11,2 -4,3 Right 10,4 1,0 8,5 The subgame perfect payoffs coincide with those of a Nash equilibrium b. Depending on Player 2's move, Player 1 will sometimes optimally choose Bottom c. Player 2 will choose Right in the subgame perfect equilibrium d. Player 2 would be willing to pay a positive $ amount to move first rather than second e. Player 1 would be willing to pay a larger $ amount than Player 2 to move first