Mohamed and Kate each pick an integer number between 1 and 3 (inclusive). They make their choicessequentially.Mohamed is the first player and Kate the second player. If they pick the same number each receives a payoffequal to the number they named. If they pick a different number, they get nothing. What is the SPE of the game?Select one:a. Mohamed chooses 3 and Kate is indifferent between 1, 2 and 3.b. Mohamed chooses 3 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2, and 3 if Mohamedchooses 3.O c. Mohamed chooses 1 and Kate chooses 1 if Mohamed chooses 1,2 if Mohamed chooses 2 and 3 if Mohamedchooses 3.Od. Mohamed chooses 3 and Kate chooses 3.

The objective of the question is to determine the Subgame Perfect Equilibrium (SPE) of the game. The…

Answered: Mohamed and Kate each pick an integer…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Use the following payoff matrix for a simultaneous-move one-shot game to answer the accompanying questions. Player 2 Strategy C D E F Player 1 A 9, 8 14, 14 18, 25 12, 19 B 23, 13 10, 18 14, 26 19, 21 a. What is player 1’s optimal strategy? multiple choice Strategy B Strategy A Player 1 does not have an optimal strategy. b. Determine player 1’s equilibrium payoff. Prev
Question 2. Two students are working together to submit their Microeconomics mid-semester group coursework. Each student i can put in the effort x; that costs c(x;), in which x; E [0, 1]. This gives each student the utility of u(x1, x2). Formu- late this situation as a strategic game.
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Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?
1
6. There are two players. The strategy of player 1 is x, the strategy of player 2 is y. The payoffs are U (x, y) = 2xy – x² and U2(x, y) = 12y + xy – y². What is the NE?
What are Nash Equilibria in the following game? Select all that apply. Pizza Jazz 7 meats Seafood Jazz Veggie 20,7 9,8 9,8 Tasty Pizza BBQ 20, 13 9, 12 18, 12 Prawn 20, 7 9,9 18, 17 (Veggie, 7 meats) (Veggie, Seafood) (Veggie, Jazz) (BBQ, 7 meats) (BBQ, Seafood) (BBQ, Jazz) (Prawn, 7 meats) (Prawn, Seafood) (Prawn, Jazz) (9,8) O (20,13) (18,7)
Player 2 Left Center 30, 40 6, 20 20, 20 Right 21, 24 32, 35 10, 5 Up Middle 5, 5 40, 11 Player 1 Down 38, 42 Use the information in the game matrix above to answer questions #3 and # 4. 3. If both Players move simultaneously, then a. Player 1 has a dominant strategy, and Player 2 does not. b. Player 2 has a dominant strategy, and Player 1 does not. c. There is more than one pure strategy Nash Equilibrium. d. Both players have a dominant strategy. e. There are no Nash Equilibria in pure strategies. 4. If Player 1 moves first, then is the subgame perfect equilibrium. a. (Up, Left) b. (Middle, Center) c. (Middle, Right) d. (Down, Left) e. (Down, Center)
Consider the payoff matrix for a game depicted below. Player 1 selects the row and Player 2 selects the column. Up Down Left 1, -1 -1, 1 Right -1, 1 1, -1 What is (are) the Nash equilibrium (equilibria)? Question 18Answer a. Player 1 plays right; Player 2 plays down b. Player 1 plays left; Player 2 plays down c. Player 1 plays down; Player 2 plays left d. Player 1 plays right; Player 2 plays up e. Player 1 plays up; Player 2 plays left f. There is no Nash equilibrium g. Player 1 plays down; Player 2 plays right h. Player 1 plays up; Player 2 plays right i. Player 1 plays left; Player 2 plays up

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