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The Coach of the Offensive Football Team Has Two Options

question 11

Essay

The coach of the offensive football team has two options on the next play.He can run the ball or he can pass.His rival can defend either against the run or against the pass.Suppose that the offense passes.Then if the defense defends against the pass, the offense will make zero yards, and if the defense defends against the run, the offense will make 25 yards.Suppose that the offense runs.If the defense defends against the pass, the offense will make 10 yards, and if the defense defends against a run, the offense will gain 2 yards.
a.Write down a payoff matrix for this game.
b.Is there a Nash equilibrium in pure strategies for this game? If so, what is it? If not, demonstrate that there is none.


Definitions:

Trading Costs

Expenses incurred in the process of buying or selling securities, including commissions, spreads, and slippage.

Marketable Securities

Financial instruments that can be quickly converted into cash at market value, such as stocks, bonds, and Treasury bills.

Daily Interest Rate

The interest rate applied to a loan or investment for a single day, often used for calculating interest over short periods.

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