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MATH420 - Game Theory and Decision Models

Course Details

Course Code: MATH420 Course ID: 4556 Credit Hours: 3 Level: Undergraduate

“A Beautiful Mind” is a movie that helped popularize game theory. It is a biographical film about the life of John Nash who is known for his work in game theory. “Game theory is the study of mathematical models of conflict and cooperation between intelligent and rational decision makers.” This course examines game theories and their applications commonly found in economics, business, political science, and law and how to model games to make informed decisions. Topics include dominance solutions, Nash equilibrium, backward induction, subgame perfect equilibrium, repeated games, dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, and signaling. (Prerequisites: MATH410 and MATH415)


Course Schedule

Registration Dates Course Dates Session Weeks
05/21/21 - 10/29/21 11/01/21 - 12/26/21 Fall 2021 Session I 8 Week session
08/31/21 - 02/04/22 02/07/22 - 04/03/22 Winter 2022 Session I 8 Week session

Current Syllabi

After completing the course, the student should be able to accomplish these Course Objectives (CO):

CO-1 Explain game theories and models used in business, industry, government and the military.
CO-2 Solve problems under certainty and uncertainty conditions.
CO-3 Analyze decision models using Microsoft Excel.
CO-4 Solve problems using decision models and strategies.
CO-5 Evaluate “what if” sensitivity results using decision models.
CO-6 Justify decision model results and analyses in writing and orally.

Forum Assignments: The University requires weekly contact from each student. This requirement can be met by taking the Unit Tests and by participating in the Forums. A total of 10% of the final grade will be based on participation in the weekly Forums. Forum postings are expected to be written in complete sentences using correct grammar and spelling unless otherwise directed. Any posting which requires research must be accompanied by a citation of the references used.

Homework: Homework problems are assigned for each section of the book that we study. Unlike many lower-level courses, the homework here is a guide to help you focus your study efforts. Although they may not directly impact your grade, they are still an important factor in your success at mastering the subject. Math is not a spectator sport - one learns math by putting the pencil to the paper!

Research Paper: During this course, you will be asked to research an application related to the theory contained in this course and prepare a formal analysis of the subject. This is a formal paper, and is expected to be produced in either MLA or APA format, to include proper documentation of outside sources. This assignment will account for 10% of the final grade.

Excel Project: During this course, we will study several topics that involve calculations that will become repetitive in nature. In this project, you will use Excel to assist in these computations.

Tests: There will be a graded test at the end of each part of the course. Each will be a timed, open-book, open-note exam. You may not consult with any other person while taking the exam. A total of 45% of the final course grade comes from these three tests.

Final Exam: The final exam will count as 30% of the final grade. It will also be an open-book, open-note exam. You may not consult with any other person while taking the exam. This examination will be based on all material covered during the semester. Please coordinate with the professor for any special arrangements. Unless the professor approves alternate arrangements, students should plan to take the final examination during the last week of the course. You will not need a proctor to take this exam.

NameGrade %
Honor Code 1.00 %
APUS Honor Code and Pledge 1.00 %
Forums 10.00 %
W1: Introduction 1.00 %
W1: A Guessing Game 0.33 %
W2: Defining Strategic Form Games 1.00 %
W3: Expected Payoffs of Mixed Strategies 1.00 %
W3: An Investment Game 0.33 %
W4: Extensive Form Games and Backward Induction 1.00 %
W5: Midterm Reflection 1.00 %
W5: Infinitely Repeated Games and the Grim Trigger 1.00 %
W6: Moral Hazard 1.00 %
W7: Signaling 1.00 %
W7: Auction Game 0.33 %
W8: Final Debriefing 1.00 %
Projects 15.00 %
W6: Research Paper 10.00 %
W8: Excel Assignment 5.00 %
Tests 45.00 %
Test 1: Strategic Form Games 15.00 %
Test 2: Extensive Form Games 15.00 %
Test 3: Asymmetric Information Games 15.00 %
Final Examination 30.00 %
Final: Game Theory and Design v2 30.00 %

Please visit and search for additional resources for this course.

Book Title:Strategies and Games: Theory and Practice-E-book is available in the APUS Online Library
Publication Info:Library of Congress Lib
Author:Prajit K. Dutta
Unit Cost:$93.00
Book Title:To find the library e-book(s) req'd for your course, please visit to locate the eReserve by course #.
Author: No Author Specified

Previous Syllabi

Not current for future courses.