Question

The normal-form game box below outlines a generic game for two players to illustrate basic principles. Each player has two strategies (top and bottom for player 1 and left and right for player 2). The letters in the boxes represent the payoffs based on the combination of strategies chosen, so if the choices are (bottom left), player 1 receives a payoff of eand player 2 receives a payoff off.

Player 2
Game Matrix Left Right
Player 1 Top a,b c,d
Bottom e, f g h
If (top, left) is a dominant strategy equilibrium, which of the following must be true?
a) A hf.
b) g> C.
c) b>d.
d) c>g.
e) aze.
Which of the following statements is true?
A. No Nash equilibrium is also a dominant strategy equilibrium.
B. No dominant strategy equilibrium is also a Nash equilibrium.
C. Every dominant strategy equilibrium is also a Nash equilibrium.
D. Every Nash equilibrium is also a dominant strategy equilibrium.

Answer 1

1. c) b>d

d) c>g

2. No dominant strategy equilibrium is also a Nash equilibrium.

Step-by-step explanation:

Payoff matrix are used in business as it represent the possible outcomes of the decisions made. In the given scenario player 1 and player 2 have different outcomes based on the game matrix. The player 1 will get best possible payoff when he falls in Top Left matrix. This is dominant strategy which must be Nash equilibrium.