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- Your teacher in Principle of Finance class told you that there will be no averaging of the grades or curve grading. It means that students will get the marks they received and there is no adjustment. This also means that every student has a possibility to get A grade because your grade does not depend on the performance of your classfellows. Therefore, Zainab decided to study 3 hours every day regardless of what your classfellows are doing. In the language of game theory what kind of strategy she is using. Please explain your answer.O Cell A O Cell C O Cell E O Cell I None of the aboveTwo firms, Tim Horbucks and Startons, consider enter the market for take-out coffee, or not. The profit each firm can make (in dollars) is indicated in the table below, where the fixed cost of producing is F dollars. What is the largest value of F below which the game has a UNIQUE Nash equilibrium in pure strategies? Startons Enter Not Enter Enter 400 - F, 400 - F 600 - F,0 Tim Horbucks Not Enter 0, 600 - F 0 ,0 Enter a positive number below, in dollars.
- The count is three balls and two strikes, and the bases are empty. The batter wants to maximize the probability of getting a hit or a walk, while the pitcher wants to minimize this probability. The pitcher has to decide whether to throw a fast ball or a curve ball, while the batter has to decide whether to prepare for a fast ball or a curve ball. The strategic form of this game is shown here. Find all Nash equilibria in mixed strategies.See the extensive form game in the image attached (the payoffs of player 1 are written on top and the payoffs of player 2 are on the bottom). a) Write this game in normal form (a player's strategy is a complete contingent plan that tells them what to play at each of their information sets) (b) Find all the Nash equilibria of the normal form game from part (a)Two firms, X and Y, are planning to market their new products. Each firm can develop TV, Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix : MATRIX IS ATTACHED Find the Nash equilibria for this game, assuming that both firms make their decisions at the same time. (explain the decision step by step) If each firm is risk averse and uses a maximin strategy, what will be the resulting equilibrium? (explain the decision step by step) What will be the equilibrium if Firm X makes its selection first? If Firm Y goes first?
- Tyler and Pam are arrested and charged with armed robbery. The police interview both suspects separately about their involvement in the crime. Each suspect has to make a decision. They can betray the other suspect by confessing that they both committed the crime, or they can cooperate with the other suspect by remaining silent. The table shows the sentences that Tyler and Pam will receive given their choices. Use the table to answer the question. What will be the dominant strategy outcome for Tyler and Pam? They both get 10 years. Pam gets 5 years, and Tyler gets 15 years. O They both get 12 years. O Tyler gets 5 years, and Pam gets 15 years. Tyler Stay silent Confess Stay silent Pam gets 10 years Tyler gets 10 years Pam gets 15 years Pam Tyler gets 5 years Confess Pam gets 5 years Tyler gets 15 years Pam gets 12 years Tyler gets 12 yearsFinding Nash Equilibria Consider the following two player, normal form game: Player 1 Player 2 C L (2,1) U M (-2,-2) D R (2, -1) (1,2) (-1, 1) (0,0) (3,1) (0,0) (-1,-1) Find all pure and mixed strategy Nash equilibria. Calculate each player's expected payoffs at each equilibrium.For the game below, find all mixed-strategy Nash equilibria.
- Consider the following three-stage duopoly game. There are two firms in the market: Firm 1 and Firm 2. In the first stage, a first-price auction is conducted to determine the order of moves. The firm with the highest bid (first mover) pays a cost equivalent to its bid and chooses its action in the second stage. After observing this action, the other firm (second mover) chooses its action in the third stage. When there is a tie in the first stage (both firms submit the same bid), a coin is tossed to determine the winner, and only the winner pays its bid. Each firm has the following three possible actions: small (expansion), medium (expansion) and large (expansion), and the payoffs they obtain in the market (not the final payoffs yet) are shown below: The second mover Small Medium Large 16, 12 Medium 18, 8 19, 7 13, 10 14, 11 Small 9, 9 10, 13 12, 10 The first mover Large 14, 12 The final payoff is equivalent to the payoff obtained in the market minus the cost (if any) paid in auction.…Consider a simultaneous move game with two players. Player 1 has three possible actions (A, B, or C) and Player 2 has two possible actions (D or E.) In the payoff matrix below, each cell contains the payoff for Player 1 followed by the payoff for Player 2. Identify any pure strategy Nash Equilibria in this game. If there are none, state this clearly.1.a) If the three executives of a fraudulent organization report nothing to the authorities, each gets a payoff of 100. If at least one of them blows the whistle, then those who reported the fraud get 28, while those who didn’t get -100. Suppose they play a symmetric mixed-strategy Nash equilibrium where each is silent (does not report fraud) with probability p. What is p?A, 0.1B, 0.28C, 0.5D, 0.8 b) In a two-player game, with strategies and (some known and some unknown) payoffs as shown below, suppose a mixed-strategy equilibrium exists where 1 plays C with probability 3/4, and Player 2 randomizes over X, Y, and Z with equal probabilities. What are the pure-strategy equilibria of this game? A, (A, Y) and (B, X)B, (A, Z) and (C, Y)C, (B, X) and (C, X)D, (C, X) and (C, Y)
