Short Answer Part 2 Consider the following sequential-move game: Player 1 Player 2 Player 3 Player 2 L Player 3 R L R Player 1 Player 3 R 2 3 5 4 5 4 L R L Player 3 R Find the backward-induction equilibrium of this game. L 5 5 2. 5 5 2 Player 2 R Player 3 R 5
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- 11) In the following game, list any dominant or dominated strategies. Then, solve the game Player 2 Left Center Right Player 1 Up 1,2 4,6 5,5 Down 6,3 2,4 3,1Consider the following simultaneous move game: Player 1 \ Player 2 Top Bottom Select one: Left Right 5,3 4,1 2,0 0,2 Player 2 has a dominant strategy in this game. Player 1 has a dominant strategy in this game. O This game has a Nash equilibrium in dominant strategies. This game does not have a Nash equilibrium in pure strategies. None of the statements is correct. OIn the following simultaneous-move game, what is player 1's maximin strategy? Player 2 OL OR OU OD Player 1 L R U 50, 50 0, -10 D -10, 0 0,0
- Consider the following simultaneous game: Player 1 U D Player 2 L 20,-10 -10, 20 R -10, 20 20,-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. Player 1's best response is D if player 2 plays R.5) Consider the following simultaneously move game. Player 1\Player 2 Top Middle Bottom Find Nash equilibrium. Left 2,2 1,3 3,1 Center 0,0 3,0 2,3 Right 1,3 1,0 2,21. Consider the following simultaneous move game Player 2 C D Player 1 A 4,3 4,-2 B 2,2 3,-1 C 3,0 4,0 a) Does player 1 have a strictly dominant strategy?
- GAME UUU B1 Player B B2 A1 7,13 5, 10 A2 3,8 9,16 Player A A3 5,8 4,7 In Game UUU (see table above), assuming players move simultaneously, Player A choosing A1 and Player B choosing B3 is a Nash equilibrium. Player A choosing A3 and Player B choosing B2 is a Nash equilibrium. Both Player A choosing A1 and Player B choosing B1 and Player A choosing A2 and player B choosing B2 are Nash equilibria in pure strategies Player A choosing A1 and Player B choosing B2 is a Nash equilibrium.A game involves two players: player A and player B. Player A has three strategies a1, a2 and a3 while player B has three strategies b1, b2 and b3. Player B b1 b2 b3 a1 -40,30 70,20 -10,120 Player A a2 40,60 80,80 60,20 a3 -30,40 -50,110 150, -70 Assuming that this is a one-time game, answer the following questions: Is there any dominant strategy for each player? What is the secure strategy of each player. What is the Nash equilibrium of the game?Consider the following game: Player 2 In Out Player 1 In -2,-2 2, 0 Out 0, 2 0, 0 (a) What is the Nash equilibrium of this game, or what are the Nash equilibriaof this game? (b) Does either firm have a dominate strategy (a strategy that is always abest response)? Which? (c) Suppose Player 1 could move before Player 2 and Player 2 could observe Player 1’s move. What do you think would happen?
- GAME 5 Player B B1 B2 Player A A1 7,3 | 5, 10 A2 3, 8| 9, 6 In Game 5 above, O Neither player has a dominant strategy. O Player B has a dominant strategy. O Player A has a dominant strategy. O Both players have dominant strategies.Left 2,4 6,5 Up Down Does either player have a dominant strategy? Player 1 Player 2 Yes, just player 2 has a strictly dominant strategy Both players have a strictly dominant strategy Neither have a strictly dominant strategy O Yes, just player 1 has a strictly dominant strategy Right 1,0 4,24. Iterated Elimination Give an example of a game where iterated elimination of dominated strategies cannot eliminate any actions.