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Rock - paper - scissors (Roshambo) is an example of a game.
A. sequential
B. simultaneous
C. dominant strategy
D. weakly dominant.
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- 1. Draw a normal form for this tree. 2. Find all the subgames in the tree. 3. Find SPNE (Subgame Perfect Nash Equilibrium) of the tree and explain how it works.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?Below is a two player extensive game. Answer the following questions: 1. Write the game in its strategic form 2. Determine the set of all pure-strategy nash equilibria 3. Determine the set of all subgame perfect equilibria 4. Is there a unique subgame perfect equilibrium ง C C 2 A 1 B 2,1 Ꭰ E F 0,2 3,1 1,2
- Consider the attached game depicted in Normal Form. Find one Nash equilibrium and verify that it is a Nash equilibrium. Note: 1. Remember to express the Nash equilibrium in the form of a strategy profile. 2. Use the definition of Nash equilibrium to verify that the strategy profile you find is really a Nash equilibrium."Set up the oligopoly method and explain the strategies and you reach the nash equilibrium? "This table shows a game played between two players, A and B. The payoffs in the table are shown as (Payoff to A, Payoff to B). B Left Right (3, 1) (5,7) (4, 3) Center (1, 4) (2, 2) (3, 2) (6, 2) (4, 6) (5, 5) Up Middle Down Which of the following outcomes represents a Nash equilibrium in the game? (Up, Center) (Middle, Right) (Down, Left) (Down, Center)
- Use the following one-shot, normal-form game to answer the following questions a. Find each player’s dominant strategy, if it exists. b. Find each player’s secure strategy. c. Find the Nash equilibrium.Game theory. Explain Nash equilibrium in pure strategies elaborately with a case study/problem (first define it) covering everything under a single problem (handwritten).Find any Nash equilibria in the game below. Firm B Co-operate Don’t co-operate Firm A Co-operate 60 60 0 80 Don’t co-operate 80 0 10 10 a. There is one Nash equilibrium: both firms don't co-operate. b. There are no Nash equilibria. c. There are two Nash equilibria: one firm co-operates and the other firm doesn't co-operate. d. There are two Nash equilibria: (i) both firms co-operate and (ii) both firms don't co-operate.
- X Y (ZERO-SUM GAME) Consider the game x [1 aj. What are the values of a that will make: Y a. (X,X) a Nash equilibrium (NE)? b. (X,Y) a Nash equilibrium (NE)? c. If a=-1, set-up the linear programming models that will solve the mixed Nash equilibria of the given game.What is meant by dominant strategy?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?