[3 Consider the zero-sum game 4 2 and the mixed strategies 7 5 -2 1/5 p = [2/3 1/3 for Rose and q = |2/5| for Colin. Compute the ex- 2/5 pected payoff when the players use the following strategies: (a) Rose plays row 2; Colin plays column 2. (b) Rose plays row 1; Colin plays q. (c) Rose plays p; Colin plays column 3. (d) Rose plays p; Colin plays q.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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[3
Consider the zero-sum game
4
2
and the mixed strategies
7
5 -2
1/5
p = [2/3 1/3 for Rose and q = |2/5| for Colin. Compute the ex-
2/5
pected payoff when the players use the following strategies:
(a) Rose plays row 2; Colin plays column 2.
(b) Rose plays row 1; Colin plays q.
(c) Rose plays p; Colin plays column 3.
(d) Rose plays p; Colin plays q.
Transcribed Image Text:[3 Consider the zero-sum game 4 2 and the mixed strategies 7 5 -2 1/5 p = [2/3 1/3 for Rose and q = |2/5| for Colin. Compute the ex- 2/5 pected payoff when the players use the following strategies: (a) Rose plays row 2; Colin plays column 2. (b) Rose plays row 1; Colin plays q. (c) Rose plays p; Colin plays column 3. (d) Rose plays p; Colin plays q.
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