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- Suppose two firms (A and B) are competing in price. Each firm can charge either High or Low price and the payoffs (profit or loss) from these strategies are presented below: Firm B High 50, -40 10, 10 Low Firm A Low 0,0 High -40, 50 a. Find all pure strategy Nash equilibria b. If this game is played ten times by these two firms, find all pure strategy Nash equilibria c. Suppose this game is played infinitely and these firms agreed to charge high price in order to earn profits of Gh10 each but a firm will charge low price if its rival cheats. Find the a discount rate that will cause a firm to cheat d. Suppose the discount rate is 40% will the collusion strategies constitute a Nash EquilibriumFind the Nash equilibrium strategy and payoff in this simultaneous game. Show your work. Firms can collude (C) or not collude (NC) and their profits in millions are as follows. Please see attached.Derive all Nash equilibria of the following game. a1 b1 a1 2,7 3,2 b1 0,0 4,1
- In the following game, players must move simultaneously. How many Nash equilibria are there? Which will occur without collusion? Which will occur if collusion is allowed? Firm A B Firm 1 A 3,1 7,0 B 2,4 5,3Up Down Up Up Down Down Player 1 Player 2 In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No EFFICIENT equilibrium exists P1 gets $100 P2 gets $100 P1 gets $10 P2 gets $10 P1 gets $15 P2 gets $5 P1 gets $110 P2 gets $10Up Down Up (down, up) (down, down) No EFFICIENT equilibrium exists Down Up Down Player 2 Player 1 In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up,up) (up,down) P1 gets $25 P2 gets $15 P1 gets $10 P2 gets $10 gets $15 P1 P2 gets $5 P1 gets $15 P2 gets $25
- Two 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.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…For the game given, use the best-reply method to find the Nash equilibria.
- For the game given, find all Nash equilibria.Candie's Chocolates and Kara's Confections are competing candy stores. Both of them are thinking about opening a store in the town of Economicville. If Kara's opens a store in Economicville and Candie's determines that it is not profitable to also open a store, then Group of answer choices: a Nash equilibrium is not possible in this game. this is a zero-sum game. this is a simultaneous game. Kara's had a first-mover advantage in this game.For the game below, find all mixed-strategy Nash equilibria.