Note that
Also,
The only strategy common in these sets is When player 1 selects High, player 2 selects middle. This is the only Nash equilibrium
1) High 2) Middle 3) True. This is (Low, Right) where payoff is more to both (16, 7).
Player I and Player 2 compete in the simultaneous game illustrated by the normal form game...
1. Assume two players (ie. Florent and Bernard) compete in a one-shot simultaneous move game. Florent can choose up or down, whereas Bernard can choose left, middle or right. Assume the following payoff matrix Bernard Florent Up 6,8 3,2 Down 3.2 4.4 Payoff: (Florent, Bernard) a) Identify the dominant strategy equilibrium(s), if any. (3 marks) b) Identify the Nash equilibrium(s), if any. (3 marks) c) If the players could sign a binding contract as to the actions of each player,...
2. consider the following simultaneous move game. Player B LEFT RIGHT Player A UP 4,1 1,4 DOWN 2,3 3,2 a. If there is a Nash equilibrium in pure strategies, what is it and what are the payoffs? b. If there is a Nash equilibrium in mixed strategies, what is it and what are the expected payoffs? 3. Continue with the previous game but suppose this was a sequential game where Player A got to go first. a. Diagram the game...
Check my work In a two-player, one-shot simultaneous-move game each player can choose strategy A or strategy B. If both players choose strategy A, each earns a choose strategy B, each earns a payoff of $200. If player 1 chooses strategy A and player 2 chooses strategy B, then player 1 earns $100 and player 2 earns $600. If player 1 chooses strategy Band player 2 chooses strategy A, then player 1 earns $600 and player 2 earns $100. payoff...
True or False for each blank Consider the following simultaneous game: R Player 2 L 30.10 -10,20 Player 1 U 10, 20 D 5,-10 Please indicate whether each of the following statements is true or false. Player 1 has a dominant strategy. This game has a Nash equilibrium. < This game has a Nash equilibrium in pure strategies. V Player 1's best response is D if player 2 plays R. <
simultaneous move game. Find all equilibrium of this game. Player 2 Left Right Player 1 Left 1, -2 -1, 2 Right -2, 1 2, -1
Question 1 (15 polnts) Consider the following simultaneous-move game Player 2 ILIR T15. 2 | 2,0 B 3,30, 5 A. Find the pure-strategy Nash equilibrium of this game. Player M B. Can player 2 help himself by employing a simple unconditional strategie move? If so, what action will player 2 choose to commit to? What are the players' new payoffs? C. Answer the following question only if your were not able to find an unconditional strategic move. Can player 2...
Question 2(10 marks): The table below represents the pay-offs in a one-shot, simultaneous move game with com- plete information. (Player As pay-offs are given first) Top Player A Middle Bottom Left 7,17 10,5 4,4 Player B Middle 21,21 14,4 7,3 Right 14,11 4,3 10,25 • Find the Nash equilibria in pure strategies for the game whose py-offs are represented in the table above. • What is the likely focal equilibrium and why?
Consider the following simultaneous game: Player 2 L R Player 1 U 30,20 -10-10 D -10-10 20.30 Please indicate whether each of the following statements is true or false. Player 1 has a dominant strategy. This game has two Nash equilibria in pure strategies. Player 1's payoff in each of the Nash equilibria is 30.
Problem 1: Consider the following simultaneous move game with two players, denoted by 1 and 2: 1 2 T B L 1,0 0,2 M R 0,1 5,0 2,1 1,0 1. Is there a strategy for any of the players which a player would never choose? 2. If there is a strategy which a player never chooses (it is called, a dominated strategy), and this fact is known among the players, find the equilibria of the game. Hint: In a mixed...
Player Il Player lI Player lI A 2,3,1 3,1,0 В 3,2,11,32 Player I A 1,3,3 -1,3,2 Player l В 3,1,0 0,0,4 The game above is a simultaneous three player game between players 1, 2, and 3. Player 1 chooses between A and B, Player 2 between C and D and Player 3 between E and F. In the game above, the strategy profile in which Player 1 plays and Player 3 plays Player 2 plays is a Nash Equilibrium profile.