| Game Theory and Applications will be taught from the perspective of an applied mathematician, i.e., it will focus on game-theoretic modelling (as opposed to rigorous proofs of existence and uniqueness theorems). The course will cover, in a unified way, both classical and evolutionary game theory, and should be of interest not only to mathematics majors but also to students in the life, management or social sciences. It will include numerous applications |
| Professor: | Dr M-G | ||||
| Office: | 202B Love (in which I hold office hours) | ||||
| Phone: | (850 64)4 2580 | ||||
| Email: | mesterto@math.fsu.edu | ||||
| Web site: | http://www.math.fsu.edu/~mesterto | ||||
| Course goal: | To introduce game theory and some of its applications | ||||
| Class meets: | In 106 LOV on Mondays, Wednesdays and
Fridays at 2:303:20p.m. |
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| Text: | No required text | ||||
| Credit: | 3 semester hours. Mathematics majors may take MAP 4180 as an elective counting toward credit for graduation | ||||
| Syllabus: |
Nash equilibrium and other solution concepts for noncooperative
games Evolutionary stability and other criteria for equilibrium selection Cooperative games in strategic form Cooperative games in characteristic function form The prisoner's dilemma and the rationality of cooperation Population games Further applications, as determined by student needs or interests | ||||
| Prerequisites: |
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| Communication: | It is your responsibility to have registered here for an FSU computer account so that I can send you email, which you are expected to check regularly. If you prefer to read your email elsewhere then you can arrange to have messages forwarded, but you must still obtain an FSU account in the first instance | ||||
| Your name: | I don't know who you are, but because everything works so much better when I do, I would like to learn your name as soon as possible. Please take a sheet of paper, fold it in half, write your first name in large letters on one side and stand it up on your desk so that I can see it. (Write whatever you want me to call youif you're a William who likes to be called Dubya, write Dubya, not William.) Please bring your name plate to every class until I have finally learnt your name (which will take significantly longer than it used to take when I started out) | ||||
| Course format: | The course will be based on assigned readings (which I will email to you
as PDFs), interspersed by much interactive problem solving, on which we
will spend most of our time in class. I will always assume that you
have both read (not necessarily understood) any assigned passages and
at least attempted (not necessarily completed) any associated
problemsin other words, I will assume that you have done your
homework. (And needless to say, you should always have pencil and paper
handy when you read an assigned passage, so that you can fill in steps
by yourself where necessary.) Accordingly, a typical class will proceed as follows. It will begin with a very brief summaryon a characteristic time scale of seconds, as opposed to minutesby me of the assigned reading, the purpose of which is in essence to jog your memory. There will follow an opportunity for you to ask questions about the reading, and for me to attempt to clarify anything you may not have understood. We will then proceed to solving a problem or problems, with as much interaction as possible from you. Questions may be asked at any timeand should be, if there's anything you don't understand. Please note that the readings are copyrighted material, sent to you on the understanding that they are solely for your personal use and must not be shared (with anyone who is not registered for the course). |
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| Grades: | Will be based on four written assignments (25% each) in the first instance; however, in exceptional cases, part of an ongoing research project may be substituted for the final assignment. Note that quality of presentation is extremely important, and so there will be penalties (commensurate with degree of infraction) for badly presented work. It is not enough merely to produce an answer: the method by which you obtain it must be sound, and you must clearly demonstrate that you understand it. In borderline cases, a smaller number of completely correct solutions will carry more weight than a proportionate number of fragmentary answers, and later scores will carry more weight than earlier scores. Partial credit is awarded only when part of a solution is completely correct (not when all of a solution is partially correct, whatever that means, if anything). Assignments will be due at the beginning of class on the designated day. Late assignments will be viewed as badly presented, and very late assignments will not be graded (i.e., will achieve a grade of zero). | ||||
| Attendance policy: | You are expected to attend class regularly, and bear the full responsibility for learning anything covered during any class that you miss. On the other hand, it would be extremely anti-social to attend class if you either have, or are coming down with, a contagious disease. So please familiarize yourselves with the Thagard Student Health Center's advice on H1N1 flu and keep me apprised (by email) of any illness or other emergency, so that I can make any necessary adjustments (and please make friends within the class as soon as possible if you haven't done so already, so that there is someone you can call upon to borrow notes if the need should arise). | ||||
| Etiquette: | You are firmly bound by Florida State University's Academic Honor Code (briefly, you have the responsibility to uphold the highest standards of academic integrity in your own work, to refuse to tolerate violations of academic integrity in the University community, and to foster a high sense of integrity and social responsibility on the part of the University community). Although you may discuss assignments with others in general terms, the solutions you present must be your very own work ("in general terms" means that discussion is oral and nothing is copied down). | ||||
| Helpline: | If you get stuck between classes then consider using my Homework Helpline. Just send me your question by email. As soon as I possibly can (which might be as soon as within half an hour, but might also be a day or so laterI have a life, too, you know), I will reply, not to you, but rather to the class alias (after carefully concealing your identity, just in case you are inexplicably bashful about being perceived as smart enough to ask questions). | ||||
| Disabilities: | If you have a disability requiring academic accommodations, then not only should you register with the Student Disability Resource Center (SDRC), but also you should bring me written confirmation from SDRC during the first week of class. |
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