The normal-form game bax belowoutlines a generic game for two players to illustrate basic principles. Each playerhas two strategies (top and bottom for player 1and leftand right forplayer 2. The lettersin the boves represent the payoffs ased on the combination of strategies chosen, so if the choices are (bottom left, player ireceives a payoff of eand player 2receives a payoff of Player 2 Game Matrix Left Right Top ab Player 1 Bottom ef gh - 1st attempt Part 1 ( O See Hint If (top, left is a dominant strategy equilibrium, which of the following must be true? Choose one or more: OA b>a O B. h>1 OC are O D. f>h OF. e

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Chapter17: Oligopoly
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The normal-form game bax below outlinesa genericgame for two players to illustrate basic principles. Each player has two strategies (top and bottom
for player 1and left and right for player 21. The lettersinthe boxes represent the payoffs based on the combination of strategies chosen, soif the
choices are (bottom, left), player 1 receives a payoff of eand player 2 receives a payoff of f.
Player 2
Game Matrix
Left
Right
Top
ab
Player 1
Bottom
ef
gh
1st attempt
Part 1 (
O See Hint
If (top, left) is a dominant strategy equilibrium, which of the following must be true?
Choose one or more:
O A b> a
O B. h>1
O C. are
O D. f> R
O E c8
O F. gC
Part 2
O See Hint
If (top, left) is a Nash equilibrium, what must be true?
Choose one or more:
O A a>e
O B. c78
a C. b>a
O D. f> h
Part 3
See Hint
Which of the following statements is true?
Choose one or more:
O A No Nashequilibriumis also a dominant strategy equilibrium.
O B. Every Nashequilibrium is also a dominant strategy equilibrium.
O C. No dominant strategy equilibrium is also a Nash equilibrium.
O D. Every dominant strategy equilibrium is also a Nash equilibrium.
Transcribed Image Text:The normal-form game bax below outlinesa genericgame for two players to illustrate basic principles. Each player has two strategies (top and bottom for player 1and left and right for player 21. The lettersinthe boxes represent the payoffs based on the combination of strategies chosen, soif the choices are (bottom, left), player 1 receives a payoff of eand player 2 receives a payoff of f. Player 2 Game Matrix Left Right Top ab Player 1 Bottom ef gh 1st attempt Part 1 ( O See Hint If (top, left) is a dominant strategy equilibrium, which of the following must be true? Choose one or more: O A b> a O B. h>1 O C. are O D. f> R O E c8 O F. gC Part 2 O See Hint If (top, left) is a Nash equilibrium, what must be true? Choose one or more: O A a>e O B. c78 a C. b>a O D. f> h Part 3 See Hint Which of the following statements is true? Choose one or more: O A No Nashequilibriumis also a dominant strategy equilibrium. O B. Every Nashequilibrium is also a dominant strategy equilibrium. O C. No dominant strategy equilibrium is also a Nash equilibrium. O D. Every dominant strategy equilibrium is also a Nash equilibrium.
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