Solution-Soccer game ends in a tie, it goes into a penalty

Soccer game ends in a tie, it goes into a penalty kick

Reference no: EM13887141

If a soccer game ends in a tie, it goes into a penalty kick shootout in which each team chooses five players to take penalty kicks. The team that makes the most subsequent penalty kicks wins the game. In a penalty kick shootout, the shooter and the keeper each decide simultaneously on a direction to move. They can choose left, right, or middle.These strategies yield the following game theory table, where the first value is the shooter's probability of scoring and the second value is the keeper's probability of stopping the shot:

969_272-M-S-Q-M (494).png

This is an example of a constant sum game since each pair of entries in the game theory table sums to 1. This can be analyzed in the same manner as a zero sum game.
a. Use dominance to reduce the game to a 2-2 game. Which strategies are dominated?
b. What is the solution to this game for the shooter and for the keeper?
c. What is the shooter's expected probability ofscoring?

Reference no: EM13887141

Questions Cloud

Find nas-cournot equilibrium level of output for each firm : Suppose two firms (Firm 1 and Firm 2) are competing against each other in a (duopoly) market. Suppose further that the demand is given by the equation P= 700-30(q1+q2), where P is the price of the good, q1 is the quantity sold by firm 1, and q2 is th..

Will peters prevail on his federal securities-law claims : Will Peters prevail on his federal securities-law claims? Will Peters prevail on his common-law claims? Will Ira likely prevail on his claim under the Securities Act of 1933?

Suppose insurance companies know with certainty driver type : Suppose there are two types of drivers on the road. Speed Racers have a 7% chance of causing an accident per year, while Low Riders have a 2% chance of causing an accident per year. Suppose the insurance companies know with certainty each driver’s ty..

Long-run average total costs-to restrict the market entry : long-run average total costs-to restrict the market entry of new competitors

Soccer game ends in a tie, it goes into a penalty kick : If a soccer game ends in a tie, it goes into a penalty kick shootout in which each team chooses five players to take penalty kicks. The team that makes the most subsequent penalty kicks wins the game.

Develop a simple urban constructed wetland design : Develop a simple urban constructed wetland design guidelines and drawings. Your report should include the following:I. Data required for the design II. Types of constructed wetlands III. Components of a constructed wetland

Will the change in price be smaller or larger : If interest rates fall from 6 percent to 5 percent, the price of the bond in the above problem will increase. Will the change in price (regardless of sign) be smaller or larger than in the above problem? Show how much by using the PV formula, Equatio..

Equivalent equal monthly payment series in constant dollars : Suppose that you barrow $17,000 at 15% compounded monthly over four years. Knowing that the 15% represents the market interest rate, you realize that the monthly payment in actual dollars will be $473.12. If the average monthly general inflation rate..

Stress-strain relationship for alloy : Measurements on the surface of a deformed sheet after unloading indicate that e1 = 0.154 and e2 = 0.070. Assume that the von Mises criterion is appropriate and that the loading was proportional (i.e., the ratio α = σy/σxremained constant during loadi..

User Account

All Pages

Soccer game ends in a tie, it goes into a penalty kick

Reference no: EM13887141

Reference no: EM13887141

Questions Cloud

Reviews

Write a Review

Basic Statistics Questions & Answers

A large corporation receives express mail deliveries at its

Use the standard normal table to find the z-score that

Confidence interval for the expected value

Explanantion of t-test with interpretation of results

Determine whether families with income

Probability that popcorn kernel takes seconds to pop

Difference for effect of treatment by gender

Conduct nonparametric test that machine is mixing nuts

Type of sampling technique

Description of regression analysis problem

Determine production schedule using linear programming model

Use of testing of hypothesis

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT