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- H7. Find all pure strategy Nash equilibria and for each one, state whether or not it is subgame perfect.on 8.1 Consider the following game: Player 1 A C D 7,6 5,8 0,0 Player 2 E 5,8 7,6 1, 1 F 0,0 1,1 4,4 a. Find the pure-strategy Nash equilibria (if any). b. Find the mixed-strategy Nash equilibrium in which each player randomizes over just the first two actions. c. Compute players' expected payoffs in the equilibria found in parts (a) and (b). d. Draw the extensive form for this game.4. Correlated EquilibriaConstruct an example (not one from class or the reading) of a Normal form game with a correlated equilibrium that is not a Nash equilibrium.
- Consider the following game in normal form. Not cooperate Cooperate Not cooperate 20,20 50,0 Cooperate 0,50 40,40 What is Nash equilibrium? Is it efficient? Why? What needs to be complied with so that the players would like to cooperate? What happens when one of the players does not cooperate? Why? Define trigger strategy. Calculate the discount factor (δ) that would make both players decide to cooperate.Suppose Proctor & Gamble (PG) and Johnson & Johnson (JNJ) are simultaneously considering new advertising campaigns. Each firm may choose a high, medium or low level of advertising. a. What are each firm’s best responses to its rival’s strategies? b. Does either firm have a dominant strategy? c. What is the Nash equilibrium in this game?Consider the following strategic game with 2 players: P1 AND P2 E F G H A 10,30 0,50 5,5 40,20 B 40,10 10,10 8,20 30,5 C 15,5 10,30 5,20 25,20 D 20,3 20,8 6,6 20,0 (a) Specify the strategies for P1 and P2, respectively. Eliminate all strictlydominated strategies, and FIND the reduced game until you can reduce the game nofurther.(b) Find all the Nash equilibria for the reduced game, including the mixed-strategy ones
- In the following normal-form game, what are the pure-strategies Nash equilibria? L C R T 2,0 1,1 4,2 M 3,4 1,2 2,3 B 1,3 0,2 3,05,3 4,4 3,6 7,6 Find the pure strategy nash equilibriaTable 1 shows the Matrix Representation of McDonalds and Burger King Companies game, A. Suppose that Burger King decides to advertise its new products. What is the best decision for McDonalds? B. Suppose that McDonalds decides to advertise its new products. What is the best decision for Burger King? C. Using Table 1, show the Nash Equilibrium and Explain.
- 4. Boeing and Airbus, change in profits ($m) from the development of a super jumbo jet.AirbusDevelop Do not developBoeing Develop -50, -50 -30, 80Do not develop 80, -30 0, 0a) Identify the key assumption of Game theoryb) What important lesson does game theory reveal about coordination inan oligopoly market?c) In the game above, what is the Nash equilibrium?1. Consider the following simultaneous move game Player 2 C D Player 1 A 4,3 4,-2 B 2,2 3,-1 C 3,0 4,0 C) Find the pure strategy Nash equilibria.Consider the following game in strategic or normal form. A2 B2 C2 A1 1,0 1,2 -2,1 B1 6,2 0,3 2,3 C1 2,2 -2,1 2,3 Use the iterative elimination of strictly dominated strategies to reduce the game as much as possible. What is the set of rationalizable strategies for each player? What is/are Nash equilibrium(s) in this game?