Two firms are competing in a market by simultaneously deciding the quality of their manufactured product. The payoff matrix for this competition is depicted in the image. Firm This game can be solved by deleting dominated strategies. Use this tactic to identify all bure-strategy Nash equilibria in this game. Low Medium High 53 54 66 Low A. Firm 1 chooses high and Firm 2 chooses high. 25 34 43 B. Firm 1 chooses low and Firm 2 chooses high. 43 68 77 O C. Firm 1 chooses medium and Firm 2 chooses medium. Firm 2 Medium D. Firm 1 chooses medium and Firm 2 chooses low. 12 45 50 O E. Firm 1 chooses low and Firm 2 chooses low. 74 96 89 F. Firm 1 chooses high and Firm 2 chooses low. High G. Firm 1 chooses medium and Firm 2 chooses high. 39 48 21 H. Firm 1 chooses low and Firm 2 chooses medium. DI. Firm 1 chooses high and Firm 2 chooses medium. ....

Two firms are competing in a market by simultaneously deciding the quality of their manufactured product. The payoff matrix for this competition is depicted in the image. Firm This game can be solved by deleting dominated strategies. Use this tactic to identify all bure-strategy Nash equilibria in this game. Low Medium High 53 54 66 Low A. Firm 1 chooses high and Firm 2 chooses high. 25 34 43 B. Firm 1 chooses low and Firm 2 chooses high. 43 68 77 O C. Firm 1 chooses medium and Firm 2 chooses medium. Firm 2 Medium D. Firm 1 chooses medium and Firm 2 chooses low. 12 45 50 O E. Firm 1 chooses low and Firm 2 chooses low. 74 96 89 F. Firm 1 chooses high and Firm 2 chooses low. High G. Firm 1 chooses medium and Firm 2 chooses high. 39 48 21 H. Firm 1 chooses low and Firm 2 chooses medium. DI. Firm 1 chooses high and Firm 2 chooses medium. ....

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Consider the following sequential move game of imperfect information. Consider the following sequential move game of imperfect information. In the event that Otis chooses Down, then they play the simultaneous move game shown in normal form (where Otis chooses between X and Y and Maeve simultaneously chooses between W and V). A (25,6) Maeve Up B (5,10) (12,5) Otis Middle Maeve Down w Otis (0, 0) (10, 10) Y (15, 15) (0, 0) Find all (pure strategy) subgame perfect Nash equilibria.
Consider the extensive form game shown here. The top payoff at a terminal node is for player 1. Find all subgame perfect Nash equilibria for the game below.
Consider a sequential-move game in which an entrant is considering entering an industry in competition with an incumbent firm. If the entrant does not enter ("Out"), the incumbent firm earms a payoff of 10, while the entrant earns a payoff of 0. If the entrant enters ("In"), then the incumbent can either accommodate or fight. If the incumbent accommodates, both eamn a payoff of 5. If the incumbent fights, then the entrant can either leave the industry ("Withdraw") or remain in it ("Stay"). If the entrant stays, both earn a payoff of -5. If the entrant withdraws, the entrant earns a payoff of - 1, and the incumbent earms a payoff of 8. The extensive form of the game is depicted in the following figure, where the payoffs are of the form (Entrant Payoff, Incumbent Payoff). Entrant In Out Incumbent Accommodate Fight O Entrant (5,5) (0,10) Stay Withdraw (-5,-5) (-1,8)
7. Solving for dominant strategies and the Nash equilibrium Suppose Felix and Janet are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Felix chooses Right and Janet chooses Right, Felix will receive a payoff of 7 and Janet will receive a payoff of 4. Felix Left Right Left 6,3 3,3 Janet Right 6,4 7,4 The only dominant strategy in this game is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Felix chooses and Janet chooses
6
3. The following is an interpretation of the rivalry between the United States (USA) and the Soviet Ünion (USSR) during the cold war. Each side has the choice of two strategies: Aggressive and Restrained. The payoff table is given as follows: USSR Restrained Aggressiveness Restrained 4,3 1,4 USA Aggressiveness 3,1 2,2 a) Consider this game when the two countries move simultaneously. Find all pure strategy Nash equilibria. b) Next consider three alternative ways in which the game could be played with sequential moves: (i) The USA moves first and the USSR moves second. (i) the USSR moves first and the USA moves second. (i) The USSR moves first, and the USA moves second, but the USSR has a further move after the USA moves. For each case, draw the game tree and find the subgame-perfect Nash equilibrium. c) What are the key strategic issues (commitment, credibility and so on) for the two countries. (Note: Be concise. Your answer should not exceed 300 words].
For the game in FIGURE 7.6, derive players’ best-reply functions, plot them as shown in Figure 7.5, and find the Nash equilibrium.
one two X, 14 three four Firm B Low Firm A Sell High 6, Y Buy Low Let X = 9, Y = 15 and Z=10. This game has 10, Z Firm B High 8,8 Nash equilibrium.
Up 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 $100 P2 gets $100 P1 gets $10 P2 gets $10 P1 gets $15 P2 gets $5 P1 gets $110 P2 gets $10
In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. GAME 33 Player A Player B B1 10, 12 A1 A2 9,3 A3 8, 10 In Game 33 above, B2 B3 8,8 12, 10 7,6 11, 1 9,4 14, 3 B1 is a dominated strategy for Player B B2 is a dominated strategy for Player B B3 is a dominated strategy for Player B Player B has no dominated strategies.
Please solve all
QUESTION 2 In the game above, what is/are the sub-game perfect Nash equilibrium? (up, up) (up, down) ( down, up) (down, down) No equilibrium exists QUESTION 2 Up Down Player 1 No equilibrium exists Up In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) □ (down, down) Down Up Down Player 2 P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95