Consider the following game matrix, where a and c are some fixed numbers strictly between 1 and 1: 1 -2 2 0 2 -2 0 -1 -1 C 2 0 -1 0 2 1 2 1 1 0 -2 a -1 20 Argue that an optimal mixed strategy of the column player is y* = (1/2, 0, 0, 1/2,0),

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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4. Consider the following game matrix, where a and c are some fixed numbers strictly
between -1 and 1:
1
-2
-1
-2 -1
C
2
2
-1
-1
1
1
1
-2
a
Argue that an optimal mixed strategy of the column player is
y* = (1/2,0, 0, 1/2,0),
and write down an optimal mixed strategy of the row player with exactly 3 nonzero
entries (probabilities).
2.
Transcribed Image Text:4. Consider the following game matrix, where a and c are some fixed numbers strictly between -1 and 1: 1 -2 -1 -2 -1 C 2 2 -1 -1 1 1 1 -2 a Argue that an optimal mixed strategy of the column player is y* = (1/2,0, 0, 1/2,0), and write down an optimal mixed strategy of the row player with exactly 3 nonzero entries (probabilities). 2.
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