SAC Group Business Plan A Business Plan B What is the Nash equilibrium in this game? OA. $1,-$5000. OB. There is no Nash equilibrium. OC. $2, $2. O D. $1, $10. OE. $2,$0. IVY Corp Business Plan Y $1. $10 $2. $0 Business Plan Z $1.-$5.000 $2. $2
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- 1. Find all subgame perfect nash equilibrium 2. Find a nash equilibrium that is not SPNE, and explain why it is not an SPNE.20) Given the payoff matrix in the figure, the Nash equilibrium outcome of this game is for: Ajinomoto Produce 30 Produce 40 million pounds million pounds Ajinomoto makes $180 million Ajinomoto makes $200 million Produce 30 million ADM makes $180 million ADM makes $150 million pounds Ajinomoto makes $150 million Ajinomoto makes $160 million Produce 40 million ADM makes $200 million ADM makes $160 million pounds O A. each firm to produce 30 million pounds. B. each firm to produce 40 million pounds. C. ADM to produce 30 million pounds and for Ajinomoto to produce 40 million pounds. D. ADM to produce 40 million pounds and for Ajinomoto to produce 30 million pounds. ADMConsider the payoff matrix of Hulu and Netflix. Why don't both firms just raise prices? NETFLIX HULU 15, 15 8, 20 20, 8 10, 10 O It is in each firm's profitable interest to lower prices, no matter what the other competitor does. O Raising prices is illegal in this case. O Firms are concerned about a third competitor entering at higher prices. O Higher prices will increase the number of customers beyond what the firms can handle.
- Game Theory. 1. Yuppie town has two food stores, LA Boulangerie, which sells bread, and La Fromagerie, whichsells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If LaBoulangerie's price is P 1 dollars per loaf of bread and La Fromagerie's price is P 2 dollars per pound ofcheese, their respective weekly sales, Q 1 thousand loaves of bread and Q 2 thousand pounds ofcheese, are given by the following equations: a) For each store, write its profits as a function of P 1 and P 2 , and find the Nash equilibriumprices in this game. b) Suppose that the two stores collude and set prices jointly to maximize the sum of theirprofits. Find the joint profit-maximizing prices for the stores.c) Provide an explanation for the differences between the Nash equilibrium prices and thosethat maximize joint profits.age Which of the following statements is the best description of a Nash equilibrium? Select one: O a. An equilibrium outcome achieved by cooperation between players in the game b. An outcome that is achieved when players in the game have jointly maximized profits and divided those profits according to market share of each player O c. An outcome where each player's strategy depends on the behaviour of its opponents d. An outcome where each player's best strategy is to maintain its present behaviour given the present behaviour of the other players Next page4. This problem is based on after chapter question 11. If you are not familiar with the rule of baseball game, just use the figure below. a. Find the subgame perfect Nash equilibrium. Note: like many sports games we discussed, the equilibrium is often about mixed-strategies. b. What are the equilibrium payoffs of two players? FIGURE PR9.11 The Suicide Squeeze Game Torre Suicide squeeze Torre 10 LaRussa 0 Pitchout No suicide squeeze 2 ∞0 N LaRussa 8 Suicide squeeze No pitchout Suicide squeeze 9 Pitchout No suicide squeeze 4 6 No suicide squeeze Torre LaRussa No pitchout Suicide squeeze 37 No suicide squeeze 5 55 5
- 1. Find Nash equilibrium and equilibrium of dominant strategies. а. N А b. L C P (3;1) (2;3) (10;2) (4;5) (3;0) (2;2) (5;4) U (4;8) (2;3) (3;7) U (6;4) M (0;3) (6;1) (2;2) L (12;3) (-1;5) (9;4) (4;6) (5;6) (4;5) (9;7) Elearn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. NoneOA OB OC Alpha's Price Policy OD. High Low A с Beta's Price Policy High Low $20 $30 $20 $10 B D $10 The diagram above shows potential outcomes for two oligopolistic competitors. Beta's profits are shown in the upper right corner of each box and Alpha's profits in the lower left corner. If Alpha and Beta engage in collusion (and do not cheat), where will they end up? $15 $30 $15
- 5. Using the data below determine if there is a Nash equilibrium. If so, what is it? Player B Left Right Player A Up -3 for A 12 for A 20 for B 10 for B 10 for A 10 for B 16 for B Down -2 for A A. A chooses Up, B chooses Right B. A chooses Up, B chooses Left C. A chooses Down, B chooses Right D. There is no Nash Equilibrium12. Consider a game where each player picks a number from 0 to 60. The guess that is closest to half ofthe average of the chosen numbers wins a prize. If several peopleare equally close, then they share theprize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers 13. Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30; (C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization. Can you help me answer number 13 please?1. Suppose the following prisoner's dilemma is played twice with the payoff for the entire game being the sum of the payoffs from the two stages. Assume there is no discounting. Player 1 B Player 2 B 2,6 3,3 A 5,5 6,2 a. What is the Nash equilibrium for stage two? b. Show what the game in stage 1 amounts to when the players anticipate the Nash equilibrium for stage 2. c. Provide the subgame-perfect outcome for this game.
