The normal form of a game uses a matrix to depict the strategic interactions of the players.
True/False
The normal form of a game uses a matrix to depict the strategic interactions of the...
Represent the following strategic interactions using payoff matrix/matrices: Three players are playing the following game: Each of them will put a penny (1 cent in the US) down simultaneously, each choosing between head and tail. If players 1's and 2's penny are on the same side (i.e., both heads or both tails), then player 1 takes over player 2's penny. If player 1's and 2's penny are mismatched (i.e., one head, one tail), player 2 takes over player 1's penny....
Player I and Player 2 compete in the simultaneous game illustrated by the normal form game below Playoffs listed (Player 1, Player 2). Player 2 Middle Right High Medium OW Player I 8. 2 2.8 3.6 16, 7 What strategy is Player 1 playing in this game's equilibrium? a. High b. Mediunm c. Low What strategy is Player 2 playing in this game's equilibrium? a. Left b. Middle c. Right True or False: There exists a non-equilibrium intersection of strategies...
consider the following game in normal form:
Consider the following game in normal form: Player B BY B2 B3 9,9 2,4 1,11 Player A 3,2 11,0 2,7 A3 10,3 4,2 9,11 Which of the following is TRUE? O A3 dominates A2 O B3 is a dominant strategy for Player B. O A3 is a dominant strategy for Player A. The game has dominant equilibrium A3, B3.
3. The extensive form of a 2-person game is as follows: 1/ 2 020210 0 0-25-210 (a) What are the pure strategy sets for players I and II. (b) Derive the normal (strategic) form of the game? (c) Find the Nash Equilibrium(a) of the game (d) Is there any sub-game non-perfect equilibrium? Explain.
4 Game Theory II (40 points) Using the following infromation about normal-form game payoff matrix to answer the questions from (a) to (). Tony Confess Silent (4,-1) (3,3) (11) (-14) Confess Jane Silent (a) Identify pure strategy NE. What is the name for this type of game? What is the main issue of this game? (4 points) (b) Suppose this game is repeated infinitely and each time the probability of game end in that game is 1 -g where 0<8<1...
Consider the following normal form game: U D LR 7,7 4,8 8,4 5,5 a. Are there dominant actions for any of the players? b. Find all Nash equilibria of this game. c. Suppose we repeat this game 10 times, specify a subgame perfect equi- librium of this finitely repeated game. d. Suppose this game is repeated infinitely: Identify a subgame perfect equilibrium of this game which gives an average (normalized) dis- counted payoff of 7 to both players. Clearly identify...
In the strategic view of bargaining, it entails that bargaining should be taken as a game of sequential moves which when combined together result in an outcome. The game must however, be very clearly and precisely advised that way the rules are very well respected. Strategic bargaining involves very calculated moves which are respected amongst both parties. A perfect example of this can be any organization done between unions and employers. In this situation, all the necessary factors are present...
Froblem #5: Convert extensive-form to strategic-form, find Nash equilibria and subgame. perfect Nash equilibria (12pts) Consider the following extensive-form game: Veto Y Don't Veto In this game, Players 1 and 2 are deciding on a course of action, which may be X, Y, or Z Player 2 is the one who actually makes the choice, but first Player may choose to veto Y, which is the option Player 1 prefers the least. a) List all the strategies available to Player...
Economists use ________ theory to better understand what might happen in situations where strategic interactions are involved. a)competitive b)complexity c)strategic d)game e)noncompetitive
Game Theory: Put the given game in strategic form, Find all pure
strategy Nash equilibriam, Change a single outcome so that B weakly
dominates A for player I.
Please Explain what the lines mean and explain each step
in how to do this problem!
1,1,4 II 2,2,2 -2,-2,-2 3,2,0 5,-1,4 0,0,0 a) Put the given game in strategic form. b) Find all pure strategy Nash equilibria. c) Change a single outcome so that B weakly dominates A for player I