For each of the questions below you will be asked to state whether it is true or false, offering an answer that contains either a counterexample or a proof. The goal of these questions is to test your conceptual under- standing of the underlying content of the main notions we use, and their relationship. While you should be as precise as you can, you should not worry about whether "every detail is in place." B. No strategy in a mixed Nash Equilibrium can put positive probability to a pure strategy that is strictly dominated.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For each of the questions below you will be asked to state whether it is
true or false, offering an answer that contains either a counterexample or
a proof. The goal of these questions is to test your conceptual under-
standing of the underlying content of the main notions we use, and their
relationship. While you should be as precise as you can, you should not
worry about whether "every detail is in place."
8. No strategy in a mixed Nash Equilibrium can put positive probability to
a pure strategy that is strictly dominated.
9. (Harder Question) If a player has a pure strategy s; that is strictly domi-
nated by a mixed (non-pure) strategy o, then s; is also strictly dominated
by another mixed (non-pure) strategy o; 0j.
Transcribed Image Text:For each of the questions below you will be asked to state whether it is true or false, offering an answer that contains either a counterexample or a proof. The goal of these questions is to test your conceptual under- standing of the underlying content of the main notions we use, and their relationship. While you should be as precise as you can, you should not worry about whether "every detail is in place." 8. No strategy in a mixed Nash Equilibrium can put positive probability to a pure strategy that is strictly dominated. 9. (Harder Question) If a player has a pure strategy s; that is strictly domi- nated by a mixed (non-pure) strategy o, then s; is also strictly dominated by another mixed (non-pure) strategy o; 0j.
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