Hello!I am looking for help with this assignment please! I tried to figure it out but my assignment failed and I can only resubmit once! The instructor didn’t tell me what failed-or if it all did, but I attached my attempt as well as the worksheet and rubric for the assignment. Thank you so much!!!! I truly appreciate it!This competency will allow you to demonstrate your ability and skill in analyzing nonzero-sum games and synthesizing optimal strategies within them. Instructions A telecom company is considering upgrading their infrastructure in your city and they have hired G&B Consulting. The telecom company would be willing to invest in upgraded lines that offer higher speeds and bandwidth, but it is costly to do so and they are afraid they might make the investment but not have customers willing to upgrade their services which would be needed to recoup their profits. The alternative would be to keep the old infrastructure, but there are already a high amount of service complaints from the customer base. The telecom company needs to determine if investing in the improved service will pay off for them by having a sufficient amount of customers buy the upgraded service. You have been tasked with helping them determine their optimum strategy. What to Submit To complete this assignment, you must first download the word document Your step-by-step breakdown of the problems, including explanations and all work shown, should be present within the PowerPoint you create. Do not submit the Word document with instructions.Deliverable 06 – Worksheet
The market research team working on this project creates this payoff matrix that
represents the scaled values that customers give to the different levels of service and the
corresponding payoffs for the telecom company:
Telecom
Company
Customer
Buy
Don’t Buy
Upgrade
(2, 2)
(0, 1)
Don’t Upgrade
(3, 0)
(1, 1)
You recognize that the payoff matrix is not the best way to analyze this scenario. You
will construct a game tree to model the scenario and perform backwards induction to find the
optimum strategy, explaining all of your reasoning along the way.
Slide 1
•
•
Explain why a game tree must be used in this scenario instead of a payoff
matrix.
Identify who will go first in the game
Slide 2
•
•
Draw the game tree that represents the scenario using the payoff matrix given
above.
Identify and explain any non-credible threats.
Slide 3
•
•
Redraw the game tree with any non-credible threats removed.
Identify and explain where the first step of backwards induction will occur.
Slide 4
•
•
Using the game tree from slide 3, perform the first step of backwards induction.
Explain your reasoning behind the step you took.
Slide 5
•
•
Redraw the game tree after the first step of backwards induction.
Identify where the next step of backwards induction occurs.
Slide 6
•
•
Slide 7
Using the game tree from slide 5, perform the next step of backwards induction.
Explain your reasoning behind the step you took.
•
•
Redraw the game tree after the step you took in slide 6.
Identify the optimum strategy of the game.
Contruct & Analyze
A Game Tree
Joni Filibeck
Rasmussen College
Mathematics of Games
Submitted on 15June2020
Scenario
The market research team working on this project creates this payoff matrix that represents the
scaled values that customers give to the different levels of service and the corresponding
payoffs for the telecom company
You recognize that the payoff matrix is not the best way to analyze this scenario. You will
construct a game tree to model the scenario and perform backwards induction to find the
optimum strategy, explaining all of your reasoning along the way
Step 1
In this scenario a game tree has to be used because the
information has a finite extension form and also sequential
The customer is this will go first because he determines
whether or not he will buy or not buy; therefore the decision
to upgrade is dependent on the customer’s choice to buy.
Step 2
Game Tree representing scenario in above matrix
Telecom
Company
Upgrade
Don’t Upgrade
Customer
Customer
Buy
Don’t Buy
Buy
Don’t Buy
(2,2)
(0,1)
(3,0)
(1,1)
The non credible threats in this scenario is don’t buy for the customer who is
upgrading because whether the Telecom company upgrades or does not upgrade
the don’t buy customer will not be affected and both parties stand to gain nothing.
Step 3
Game Tree with Non Credible Threats Removed
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The first backward induction will start at the customer deciding to buy the
product because either way the customers have to buy for the company to gain.
Step 4
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The red lines are marked to indicate that the customer who will not buy is
eliminated to narrow down the tree and maximize the customers payoff with the
given information set.
Step 5
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
After the first reduction the next step of backwards induction will occur at
upgrade since the customers who buy the product would like it when it’s
upgraded.
Step
The customers who buy have remained after eliminating
those who don’t buy, the next step is determining whether to
upgrade or not. According to the customers the upgraded
product will be in high demand; eliminating the don’t
upgrade choice.
Step 6
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The optimum strategy of the telecom company will choose to upgrade while the
customers choose to buy.
Telecom company upgrades the products; customers buy the products.
Contruct & Analyze
A Game Tree
Scenario
The market research team working on this project creates this payoff matrix that represents the
scaled values that customers give to the different levels of service and the corresponding
payoffs for the telecom company
You recognize that the payoff matrix is not the best way to analyze this scenario. You will
construct a game tree to model the scenario and perform backwards induction to find the
optimum strategy, explaining all of your reasoning along the way
Step 1
In this scenario a game tree has to be used because the
information has a finite extension form and also sequential
The customer is this will go first because he determines
whether or not he will buy or not buy; therefore the decision
to upgrade is dependent on the customer’s choice to buy.
Step 2
Game Tree representing scenario in above matrix
Telecom
Company
Upgrade
Don’t Upgrade
Customer
Customer
Buy
Don’t Buy
Buy
Don’t Buy
(2,2)
(0,1)
(3,0)
(1,1)
The non credible threats in this scenario is don’t buy for the customer who is
upgrading because whether the Telecom company upgrades or does not upgrade
the don’t buy customer will not be affected and both parties stand to gain nothing.
Step 3
Game Tree with Non Credible Threats Removed
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The first backward induction will start at the customer deciding to buy the
product because either way the customers have to buy for the company to gain.
Step 4
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The red lines are marked to indicate that the customer who will not buy is
eliminated to narrow down the tree and maximize the customers payoff with the
given information set.
Step 5
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
After the first reduction the next step of backwards induction will occur at
upgrade since the customers who buy the product would like it when it’s
upgraded.
Step
The customers who buy have remained after eliminating
those who don’t buy, the next step is determining whether to
upgrade or not. According to the customers the upgraded
product will be in high demand; eliminating the don’t
upgrade choice.
Step 6
Upgrade
Telecom
Company
Don’t Upgrade
Customer
Customer
Buy
Buy
Don’t Buy
(2,2)
(3,0)
(1,1)
The optimum strategy of the telecom company will choose to upgrade while the
customers choose to buy.
Telecom company upgrades the products; customers buy the products.
Grading Rubric
F
F
с
B
A
0
1
2.
3
4
No
No Pass
Competence
Proficiency
Mastery
Pass
Not
Did not correctly solve a
Correctly solved a majority of the correctly solved almost all
All problems are
Submitted majority of the problems or
problems.
the problems.
solved correctly.
at least one problem not
completed.
Not
Very few steps are
Fairly complete and detailed
Mostly complete and
Complete and detailed
Submitted provided to explain how to
steps are provided to explain
detailed steps are provided
steps are provided to
solve the problem OR the
how to solve the problem OR the
to explain how to solve the
explain how to solve
steps provided have
steps provided have some
problem.
the problem.
several errors.
errors.
Not
Explanations generally lack
Explanations demonstrate a
Explanations demonstrate
Explanations
Submitted
a basic understanding of
basic understanding of most of
a proficient understanding
demonstrate a mastery
the concepts or lack of
the concepts and terminology,
of most of the concepts
of understanding of the
proper terminology.
but some explanations may be
and terminology, but with
concepts and
incomplete or incorrect.
small errors.
terminology
Not
The majority of
The majority of mathematical
Almost all mathematical
All mathematical
Submitted
mathematical expressions
expressions and any graphs or
expressions and any
expressions and any
and any graphs or tables
tables are properly formatted.
graphs or tables are
graphs or tables are
are not properly formatted
properly formatted.
properly formatted.
OR some are not present.
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