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Complete the missing parts to obtain the corresponding strategic games.
- ) Game with constant sum
- ) Leader's game
- ) Game of chicken
- ) Friendship game
Step by step
Solved in 2 steps
- The “research and development” game is best analyzed as a simultaneous move game, because the parties lack information about each other’s investment decisions. Which game (in the attachment) describes the “research and development game” properly? Remember that investment costs $6, and that this should be reflected, whenever appropriate, in the correct game matrix. (Note: Firm A chooses the row and Firm B chooses the column.)Player 1 is on the horizontal and Player 2 is on the vertical. Based on the following payoff matrix, what is a Nash Equilibrium strategy profile? C R (6,5) (4,1) (1,2) M (2,9) (7,5) (6,10) (3,1) (7,2) (4,3) O (B,L) O There is no Nash Equilibrium. O (B,C) O (M,R) O (M,L) Step 2None
- Question 3: Two cars roar at each other down the middle of a country road. Each driver has two possible actions: to Swerve or Not Swerve. Consider the possible outcomes and assign payoffs accordingly. Explain your reasoning. Then produce a game matrix, as we did in class. Identify any pure strategy Nash equilibrium points.Game theory: Consider a collective action game with thirty individuals (N = 30). When the number of participants in the joint project is n, each individual, including shirkers, receives a benefit of B(n) = 18n and each participant incurs a cost of C(n) = 32 − 2n. 1. Find all of the Nash equilibria, both stable and unstable ones. 2. Find the socially optimal outcome. 3. Check if any of the Nash equilibria is socially optimal. Explain your answer.Consider the following game tree. The players are P1 and P2. The strategies available to P1 are L, M, R. The strategies available to P2 are A and B. P1 L R M P2 (1,10) A В A B (0,0) (2,1) (0,0) (2,1)
- In game theory, what does the term "payoff" refer to? a) The amount of money each player has at the beginning of the game. b) The final outcome of the game. c) The utility or benefit that a player receives based on the outcome of the game. d) The number of strategies available to each player.Which of the following would be best understood with game theory? Group of answer choices How two car dealerships choose prices when the prices of one dealership affects the sales of the other. A person choosing among retirement plans offered at her job The decision of what foods to buy at a grocery storeUp 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 $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95
- Part 1 Sam and Ray do not like each other and will be miserable if they attend the same event. Both are going out Friday night to either the bar or a concert; and Sam will publicly tweet where he is going before Ray makes his plans. Each will get 6 payoff from going to a concert and 2 benefit from going to the bar if the other is not there. If both go to the same venue, they will get a payoff of zero. Write a game tree for this game and find the equilibrium strategy and equilibrium payoffs clearly labeling both. Part 2 Take the game from the question above and switch the order of the decisions. Write a game tree for this game and find the equilibrium strategy and equilibrium payoffs clearly labeling both. Has the equilibrium strategies and payoffs changed from the question above? Explain why.Consider a simultaneous game where player A has a dominant strategy and player B has two strategies (none of which is a dominant strategy). How many pure strategy Nash equilibria will this game have? A) Exactly 1 B) Exactly 2 C) Either 1 or 2 D) NoneImagine United Airlines deciding independently to reduce fares on its flights. Other competing airlines quickly matched the fare cuts. These actions might be interpreted as: a cooperative game. a competitive game. a constant sum game. a noncooperative game.
