a) At what value for d is Kia indifferent between keeping the agreement and cheating? b) At what value for d is Hyundai indifferent between keeping the agreement and cheating? c) What is the minimum value of d for a Nash equilibrium of cooperation?
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a) At what value for d is Kia indifferent between keeping the agreement and cheating?
b) At what value for d is Hyundai indifferent between keeping the agreement and cheating?
c) What is the minimum value of d for a Nash equilibrium of cooperation?
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- Suppose OPEC has only two producers, Saudi Arabia and Nigeria, Saudi Arabia has far more oil reserves and is the lower-cost producer compared to Nigeria. The payoff matrix in the table to the right shows the profits earned per day by each country. "Low output" corresponds to producing the OPEC assigned quota and "high output" corresponds to producing the maximum capacity beyond the assigned quota Which of the following statements is true? OA. The Nash equilibrium is a cooperative equilibrium. OB. The Nash equilibrium is a noncooperative, dominant strategy equilibrium OC. The Nash equilibrium is a collusive equilibrium. D. There is no Nash equilibrium in this game because each party. pursues its dominant strategy. Low output Nigeria High output Low output Nigeria earns $20 million Saudi Arabia Nigeria earns $30 million Saudi Arabia earns $100 million Saudi Arabia earns $80 million High output Nigeria earns $12 million Saudi Arabia earns $75 million Nigeria earns $20 million Saudi Arabia…where is the nash equilibrium? find out the dominant strategy. it was discovered that two domestic manufacturing companies were fixing prices. if each company is silent, there is no penalty, but production and business are disrupted due to continuous investigation by the Fair Trade Commission. The penalty for revealing the estimated loss due to the investigation and collusion is as follows: Firm 2 Silence Disclosure Silence -200, -200 -590, 0 Firm 1 Disclosure 0, -590 -450, -450 fine( a hundred million won)What is the difference between a cooperative and a noncooperative game? Give an example of each.
- Two firms operating in the same market must decide between charging a high price or a low price. The Payoffs are as below. Firm A's profit is listed before the comma, B's profit after the comma. Firm B Firm A Low Price High Price Low Price 16, 17 7, 28 High Price 28, 7 22, 22 If each firm tries to choose a price that is optimal, regardless of the other firm's price, what is the Nash equilibrium? Does either firm have a dominant strategy?Read-a-lot Bookstore and Frontier Books are competitors in the Carlton retail book market. Each has a choice of setting a low price or high price. The payoffs from the price choices are: Assume that the game is played sequentially with Frontier making a decision about its choice of price strategy, and then Read-a-lot, after observing Frontier’s strategy, chooses its price strategy. What is the best choice for Frontier? [To answer this question, you need to take into account your answer for question 1 regarding the best strategy for Read-a-Lot.] a. Low price b. High price c. Frontier is indifferent between High price and Low price d. It is not possible to identify a best choice for Frontier.Nash Equilibrium (NE) A: Period 1 B: A A: 4 A: 2 B: 1 B: 2 Period 2 Nash Equilibrium (NE) Nash Equilibrium (NE) A: A: B: B: A: 6 A: 4 A: 7 A: 5 A: 4 A: 2 A:5 A: 3 B: 6 B: 7 B: 4 B: 5 B: 7 B: 8 B:5 B: 6 d. Solve the game by the Rollback method. Identify the dominant strategies and circle the Nash Equilibrium for each subgame and write it above its starting node. е. How has the penalty changed the firm's behavior?
- Construct the sequential game tree when Cable-net takes the first mover position by deciding whether to invest in infrastructure capacity expansion. Find the Nash equilibrium path by using the roll-back technique. How much profit does each firm earn? (Hint: the game tree will have three sequential decisions: Cable-net makes the decision first whether to invest in infrastructure capacity expansion, Peoplenet makes the entry decision, and Cable-net decides whether to lower the price.)Assume a simultaneous-move game. Firm B Low Price High Price Firm A Low Price 10,10 100,2 High Price 2,100 90, 90 What is the Nash equilibrium of the game?V2. Suppose two large countries are deciding whether to impose a tariff on each other. (a) Use a payoff matrix and graphs to show the payoffs associated with each of the scenarios; (b) Identify the Nash Equilibrium in a non-cooperative game. (c) How can a cooperative trade agreement change the equilibrium?
- Consider the following static game with two firms as the players. Each firm must decide either to upgrade (U) an existing good to a new version; or not upgrade it (N). The decisions are simultaneous. If a firm chooses to upgrade, they have to pay a fixed cost of 7. If they don’t upgrade, there is no fixed cost. The marginal cost is always equal to 3. The demand side of the market is as follows: If neither firm upgrades, each firm sells 2 units at price 4. If both firms upgrade, each firm sells 3 units at price 5. If only one firm upgrades, the one who upgrades sells 5 units at price 5, and the other firm does not sell anything.Please no written by hand and no image (Bertrand's duopoly game with discrete prices) Consider the variant of the example of Bertrand's duopoly game in this section in which each firm is restricted to choose a price that is an integral number of cents. Take the monetary unit to be a cent, and assume that c is an integer and a>c+!. Is (c,c) a nash equilibrium of this game? Is there any other nash equilibrium?3) Amazon and Target both sell the new Xbox, and have a choice whether to charge a high price or a low price. The payoff matrix identifies the profit either store can expect to make (in millions of dollars). Walmart High Price Low Price High Price b. Identify the Nash Equilibrium. 3,6 5,5 Amazon Low Price 2.8 4.3 a. Identify the Dominant Strategy for either player, or write "none" if there isn't one.
