Two firms are competing based on the quality of their products. If both choose low quality, each gets 1. f both choose high quality, each gets 5. If one chooses low quality, and the other chooses high quality, then the firm with low quality gets 3, and the other gets 0. (The low quality firm takes advantage of the customer experience that quality is sometimes high, but it can undercut the high-quality competitor due to its low cost.) Firm 2 High 3,0 5,5 Low 1,1 0, 3 Firm 1 Low High Find the two pure-strategy equilibria and the mixed-strategy equilibrium. Is a firm's expected payoff in the mixed-strategy equilbrium higher than its average payoff in the pure-stralegy equilibria? O Mixed-strategy equilbrium payoff is lower than the average pure-strategy equilbrium payof. CMixed-strategy equilibrium payoff is the same as the average pure-strategy equilibrium payof. Mixed-strategy equilibrium payoff is higher than the average pure-strategy equilbrium payof. It is indeterminate.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Two firms are competing based on the quality of their products. If both choose low quality, each gets 1. If both choose high quality, each
gets 5. If one chooses low quality, and the other chooses high quality, then the firm with low quality gets 3, and the other gets 0. (The low-
quality firm takes advantage of the customer experience that quality is sometimes high, but it can undercut the high-quality competitor due
to its low cost.)
Firm 2
High
3,0
Low
1,1
0, 3
Firm 1
Low
High
5, 5
Find the two pure-strategy equilibria and the mixed-strategy equilibrium. Is a firm's expected payoff in the mixed-strategy equilibrium higher
than its average payoff in the pure-strategy equilibria?
Mixed-strategy equilibrium payoff is lower than the average pure-strategy equilibrium payoff.
Mixed-strategy equilibrium payoff is the same as the average pure-strategy equilibrium payoff.
Mixed-strategy equilibrium payoff is higher than the average pure-strategy equilibrium payoff.
Ot is indeterminate.
Transcribed Image Text:Two firms are competing based on the quality of their products. If both choose low quality, each gets 1. If both choose high quality, each gets 5. If one chooses low quality, and the other chooses high quality, then the firm with low quality gets 3, and the other gets 0. (The low- quality firm takes advantage of the customer experience that quality is sometimes high, but it can undercut the high-quality competitor due to its low cost.) Firm 2 High 3,0 Low 1,1 0, 3 Firm 1 Low High 5, 5 Find the two pure-strategy equilibria and the mixed-strategy equilibrium. Is a firm's expected payoff in the mixed-strategy equilibrium higher than its average payoff in the pure-strategy equilibria? Mixed-strategy equilibrium payoff is lower than the average pure-strategy equilibrium payoff. Mixed-strategy equilibrium payoff is the same as the average pure-strategy equilibrium payoff. Mixed-strategy equilibrium payoff is higher than the average pure-strategy equilibrium payoff. Ot is indeterminate.
How many (pure or mixed-strategy) equilibria exist in the game below?
Player 2
R
1,-1
0,0
-1, 1
Player 1
U
-1, 1
2, 2
1, -1
M
None.
O One.
OTwo.
Three.
Transcribed Image Text:How many (pure or mixed-strategy) equilibria exist in the game below? Player 2 R 1,-1 0,0 -1, 1 Player 1 U -1, 1 2, 2 1, -1 M None. O One. OTwo. Three.
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