There is none.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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2 questions refer to the games above. (Fun fact, as an aside: the payoffs reflect the frequencies of the letter pairs formed by the names of the strategies in the English language, per 10,000 words.)

ii
Row Player
Row Player
ECON
G
O
N
4,92
106, 60
G
15, 28
0,2
7,23
92,4
Column Player
A
24, 18
16,1
Column Player
A
110,0
31, 33
16,1
40, 181
M
47, 68
0,1
48, 29
7,2
S
9,4
28, 57
R
169, 133
11, 10
84,55
3, 16
H
35, 1
11, 49
S
115, 74
1, 17
28, 57
33, 10
In game i, if there is a Nash equilibrium in mixed strategies, what is it?
O There is none.
Every strategy is played with probability 1/2.
Row plays O with certainty; Column plays (N, A, S, H) with probabilities (1/2, 1/4, 1/6, 1/12).
Row plays (G, O) with probabilities (9/10, 1/10); Column plays (N, S) with probabilities (4/5, 1/5).
In general, a Nash equilibrium in mixed strategies requires that ...
O Players are risk-averse.
Expected payoffs with mixed strategies yield a higher payoff than any possible combination of pure strategies.
Each player takes a different action from the one that the other player anticipated.
Players get the same expected payoff from any strategy they play with non-zero probability.
Transcribed Image Text:ii Row Player Row Player ECON G O N 4,92 106, 60 G 15, 28 0,2 7,23 92,4 Column Player A 24, 18 16,1 Column Player A 110,0 31, 33 16,1 40, 181 M 47, 68 0,1 48, 29 7,2 S 9,4 28, 57 R 169, 133 11, 10 84,55 3, 16 H 35, 1 11, 49 S 115, 74 1, 17 28, 57 33, 10 In game i, if there is a Nash equilibrium in mixed strategies, what is it? O There is none. Every strategy is played with probability 1/2. Row plays O with certainty; Column plays (N, A, S, H) with probabilities (1/2, 1/4, 1/6, 1/12). Row plays (G, O) with probabilities (9/10, 1/10); Column plays (N, S) with probabilities (4/5, 1/5). In general, a Nash equilibrium in mixed strategies requires that ... O Players are risk-averse. Expected payoffs with mixed strategies yield a higher payoff than any possible combination of pure strategies. Each player takes a different action from the one that the other player anticipated. Players get the same expected payoff from any strategy they play with non-zero probability.
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