| The goals of this course are, first, to understand the process of game-theoretic modelling and to appreciate its power, scope and limitations; second, to gain some exposure toand develop increased proficiency inthe kinds of intricate and sometimes lengthy calculations that typify game-theoretic analysis (including, where necessary, appropriate use of mathematical software); and third, to become more proficient at communicating mathematics in writing. The primary audience is first-year graduate students in mathematics |
| Course page: | ON CAMPUS: http://www.math.fsu.edu/~mesterto/G-TM.html (this
page) OFF CAMPUS: http://www.math.fsu.edu.proxy.lib.fsu.edu/~mesterto/G-TM.html (with your FSUID username and password) |
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| Professor: | Mike Mesterton-Gibbons | |||
| Office: | 202B Love | |||
| Office hours: | Please check here | |||
| Phone: | (850 64) 42580 | |||
| Main website: | Professor M-G's Home Page Email: | |||
| Class meets: | in 102 LOV, Monday to Friday 11:00-12:20 | |||
| Text: | There is no required text. However, the
following book is highly recommended as a reference, and is on
reserve in Dirac Science Library: Broom & Rychtář, Game-Theoretical Models in Biology (CRC Press, 2013, ISBN 9781439853214) Other books on reserve in Dirac Science Library not only cover game-theoretic modelling or game theory, but also include background material on various aspects of animal behavior and social structure, as well as modelling in general. These books are as follows (the further down the list, the more peripheral to the course): Hofbauer & Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, 1998, ISBN 052162570X) Samuelson, Evolutionary Games and Equilibrium Selection (MIT Press, 1997, ISBN 0262193825) McElreath & Boyd, Mathematical Models of Social Evolution: A Guide for the Perplexed (University of Chicago Press, 2007, ISBN 9780226558271) Davies, Krebs & West, An Introduction to Behavioural Ecology (4th edition, Wiley-Blackwell, 2012, ISBN 9781405114165) Mesterton-Gibbons, A Concrete Approach to Mathematical Modelling (revised paperback edition, Wiley-Interscience, 2007, ISBN 9780470171073) Also, a potentially helpful introductory article for a general audience is available directly online: Mesterton-Gibbons & Adams, Animal Contests as Evolutionary Games (American Scientist 86, 334-341, 1998) |
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| Credit: | 3 semester hours. | |||
| Syllabus: | We shall do as much game-theoretic modelling as we have time for. Details of the syllabus will be an emergent property of the course. However, the range of topics that we cover will eventually correspond to the titles of the lectures to be posted here | |||
| Prerequisites: | Graduate-student status within the Department of Mathematics, or my consent | |||
| Communication: | I will send email to your FSU email account on a regular basis. It is your responsibility to check it regularly (or arrange to have my messages forwarded, if you prefer to read your email elsewhere) | |||
| Your name: |
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| Course format: | Lectures (typically the first hour or so of each period) and discussion (typically the last 20 minutes) | |||
| Grades: | Will be based on class participation (30%) and the preliminary (15%) and final (55%) drafts of a term paper. The term paper (see below) will contain the primary evidence, not only that you have understood and appreciated game-theoretic modelling, but also that you have increased your proficiency in the kinds of calculations that typify game-theoretic analysis and at communicating mathematics in writing | |||
| Term paper: | Select an area of interest within the
sphere of game-theoretic analysis (subject to my approval); within
that area, identify a question about animal (including human) behavior
that game theory has been used to address; and clearly
describein an essay whose preferred length is likely in the
vicinity of 15 to 25 pagesthe construction, analysis and
implications of at least one such game, including ways in which the
model could be developed further. Your paper may be based on either a
few related papers or a single paper of sufficient depth, but it must
include sufficient evidence that you have replicatedand are not
merely reportingthe calculations on which the results of your
source(s) are based. Most likely, you will corroborate the published
results; however, keep in mind that published work is (very)
occasionally wrong. A preliminary draft of your paper should be emailed to me as a pdf file no later than the beginning of Week 4 (July 15), and the final version of your pdf file should be emailed to me no later than the end of Week 6 (midnight on August 2). The final versions of all term papers will be posted here. The rationale behind making your term paper available to all is to maximize the extent to which other students can benefit from having had you in the class to enlighten them on your chosen topic (and, of course, so that they can also enlighten you), and thus to greatly reinforce overall appreciation of the scope of game-theoretic modelling |
University Attendance Policy:
Excused absences include documented illness, deaths in the family and other
documented crises, call to active military duty or jury duty, religious
holy days, and official University activities. These absences will be
accommodated in a way that does not arbitrarily penalize students who have
a valid excuse. Consideration will also be given to students whose
dependent children experience serious illness.
Academic Honor Policy:
The Florida State University Academic Honor Policy outlines the
University's expectations for the integrity of students' academic work, the
procedures for resolving alleged violations of those expectations, and the
rights and responsibilities of students and faculty members throughout the
process. Students are responsible for reading the Academic Honor Policy and
for living up to their pledge to ". . . be honest and truthful and . . .
[to] strive for personal and institutional integrity at Florida State
University." (Florida State University Academic Honor Policy, found at http://fda.fsu.edu/Academics/Academic-Honor-Policy.)
Americans With Disabilities Act:
Students with disabilities needing academic accommodation should:
(1) register with and provide documentation to the Student Disability
Resource Center; and
(2) bring a letter to the instructor indicating the need for accommodation
and what type. This should be done during the first week of class.
This syllabus and other class materials are available in alternative format upon request.
For more information about services available to FSU students with disabilities, contact the:
Student Disability Resource Center
874 Traditions Way
108 Student Services Building
Florida State University
Tallahassee, FL 32306-4167
(850) 644-9566 (voice)
(850) 644-8504 (TDD)
sdrc@admin.fsu.edu
http://www.disabilitycenter.fsu.edu.proxy.lib.fsu.edu/
RECOMMENDED LANGUAGE FOR SYLLABI:
Free Tutoring from FSU
On-campus tutoring and writing assistance is available for many courses at Florida State University. For more information, visit the Academic Center for Excellence (ACE) Tutoring Services' comprehensive list of on-campus tutoring optionssee http://ace.fsu.edu.proxy.lib.fsu.edu/tutoring or contact tutor@fsu.edu. High-quality tutoring is available by appointment and on a walk-in basis. These services are offered by tutors trained to encourage the highest level of individual academic success while upholding personal academic integrity.
Syllabus Change Policy
"Except for changes that substantially affect implementation of the evaluation (grading) statement, this syllabus is a guide for the course and is subject to change with advance notice.''
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