GAME-THEORETIC MODELLING


MAP 5932-01, Section 01, Summer Session C 2013

(Class #01453)

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 to—and develop increased proficiency in—the 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)
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)
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:
      With only a few exceptions, 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. So (unless I already do know who you are), please take a sheet of card stock (or even paper), fold it in half, write your name in large letters on one side and stand it up on your desk so that I can see it. (Write what you want me to call you: if you're a William who likes to be called Dubya or a Margaret Jane who likes to be called Dee Dee, write Dubya or Dee Dee, not William or Margaret Jane.) Please bring your nameplate 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: 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 describe—in an essay whose preferred length is likely in the vicinity of 15 to 25 pages—the 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 replicated—and are not merely reporting—the 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

ALL SYLLABI ARE REQUIRED TO INCLUDE THE FOLLOWING STATEMENTS

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 options—see 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.''


Lectures

  1. Overview and Basic Concepts
  2. Signalling. Normal Versus Extensive Form
  3. Models of Vaccination Behavior
  4. Hawk-Dove Games and ESS Necessary Conditions
  5. Evolutionary Dynamics: The Replicator Equations
      
  1. Bourgeois Versus Anti-Bourgeois. Infinite Regress
  2. Territorial Conflict: Iterating the Hawk-Dove Game
  3. State-Dependent Dynamic Games
  4. The War of Attrition Without Assessment
  5. Threat Displays and Deceptive Communication
      
  1. Kleptoparasitism
  2. Recruitment to Food Bonanzas
    Discussion Problem Solutions
    References
    All in One

Term Papers

  1. Negative Campaigning
  2. Social Dominance
  3. Group Foraging
  4. Financial Crises
  5. Signalling Systems
  6. Financial Markets
      
  1. Dishonest Signalling
  2. Indirect Reciprocity
  3. Cheap Talk
  4. Kleptoparasitism
  5. The Handicap Principle
  6. Fighting for Food
      
  1. Insurance Pricing
  2. Spike-Based Decision Learning
  3. Basketball Finishing Strategies
  4. Seasonal Timing of Germination
  5. The Par 5 Dilemma in Golf
  6. Food Fights

Back to top of page                              HOME                              Back to top of page