1. Consider the zero-sum game given by 3 1 2 A = 4 0 2 1 2 -2 3 1 (a) Calculate the gain floor and loss ceiling for A. (b) Without using dominance, use the Equilibrium Theorem to determine whether it is possible for A to have a mixed Nash Equilibrium where player two's strategy is of the form (a, b, c, 0) with a, b, c > 0.

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Chapter17: Oligopoly
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1. Consider the zero-sum game given by
3 1
2
A =
4
0 2 1
2
-2 3 1
(a) Calculate the gain floor and loss ceiling for A.
(b) Without using dominance, use the Equilibrium Theorem to determine
whether it is possible for A to have a mixed Nash Equilibrium where
player two's strategy is of the form (a, b, c, 0) with a, b, c > 0.
Transcribed Image Text:1. Consider the zero-sum game given by 3 1 2 A = 4 0 2 1 2 -2 3 1 (a) Calculate the gain floor and loss ceiling for A. (b) Without using dominance, use the Equilibrium Theorem to determine whether it is possible for A to have a mixed Nash Equilibrium where player two's strategy is of the form (a, b, c, 0) with a, b, c > 0.
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