This handout contains the information you need to get going on your project. There are two parts to the handout. This first part has information about due dates for the project, the report you will be preparing, grading criteria, and a list of students doing the project to help you in forming a group if you choose to do so. The second part has a brief summary of your topic and a list of key words to help you head in the right direction. In the next couple of weeks you will get one more handout which will contain problems for you to solve as part of your project.
The material I'm giving you really is just a bare-bones minimum to help direct you. You are responsible for finding references and doing your own investigating and learning. However please feel free to contact me, in person or by email, for help finding references or working the problems or for general guidance about the projects, and to give me feedback about how it is going.
Due Dates
There are two due dates for the project: October 30th, November 22nd. On October 30th, you should turn in:
1. At least two references which you have found for your project.
2. An explanation or definition of at least two of the key words for your topic.
Turning this material in on time will count towards points in the determination of your total grade on the project.
On Wednesday, November 22nd your overall project report is due.
Each person will be responsible for preparing his/her own report, including writing up his/her own solutions to the problems.
Reports and Grading Criteria Your report should include some version of the following 5 parts. They do not have to be arranged the way I list them here, but all should be included in your report in some form or another.
Introduction
In this project we shall try to understand some of the basic ideas of
the Theory of Games in which there are two players and see how Probability and Linear Algebra enter into understanding how the game will proceed.
Key words to learn:
http://www.math.ubc.ca/~athreya/302/projects/gametheory.html
The theory of games is used to model all
kinds of relationships which arise in the real world in which various
players have to make decisions, and depending on what they all
decide at each stage of the game , various players have to make
payoffs to other players. The process is then repeated from the new starting point which arises after the payoffs are made. The players can formulate strategies so as to maximize what is important to them. Sometimes there is an element of chance involved in the game. There maybe events which occur with a certain predetermined probability. These ideas are used in describing payoff's and strategies for players.
[Math 302 -Projects page]
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