This is an introduction to the Iterated Prisoner's Dilemma. It allows the reader to play against three strategies, and discusses what is learnt about co-operation and forgiveness by egotists. It ends with discussion questions and further reading suggestions.
Subjects in Game Theory
Nineteen video lectures, of about an hour each, from a 2008 course that uses game theory and other formal models to analyse politics. This index is provided by The Open Academy, who provide titles, previews and descriptions of each lecture. The main sections of the course are "Sequential games", "Simultaneous move games", "Mixed strategy equilibirium", "Repeated interaction", and "Voting".
Part of the Open Yale service, this course is an introduction to game theory and strategic thinking. Ideas such as dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, and signalling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere. It is taught by Ben Polak and features videos, audio, course syllabus and lecture notes.
Detailed notes and slides from a course of 18 lectures are archived here by MIT's Open CourseWare project. The course was given in 2000, 2001 and 2002. The course covers, "Analysis of strategic behavior in multi-person economic settings. Introduction to Nash equilibrium and its refinements: subgame-perfect equilibrium and sequential equilibrium. Applications drawn from labor economics, the economics of organization, industrial organization, international trade, and macroeconomics."
Detailed lecture notes, slides, problem sets and exam questions from Muhamet Yildiz's 'Economic applications of game theory' course in 2004. The syllabus, lecture notes, slides, exams and problem sets are available to download as PDF files. It includes supplementary notes on rationaliazability, partnership games and forward induction.
PDF of over 800 pages including an extensive bibliography, released in 2010. "The analysis of market interactions, business strategies and public policy is performed using the standard framework of game theory and the recent advances of contract theory and information economics. The book is written from a European perspective, set side by side with the US experience."
This video is the first in a course of 23 lectures given at the University of Canterbury in New Zealand. It uses Dixit and Skeath's textbook Games of Strategy as a basis. Videos are delivered by John Fountain. The pace is rather slow but friendly and it could provide ideas for similar lectures or teaching methods on the subject.
This is a collection of video clips which teach all aspects of game theory to undergraduates. There were created by William Spaniel, a PhD student at University of Rochester, USA. They cover strategic form games and the Nash Equilibrium, extensive form games, infinite games and bargaining. Possibly good for reinforcing student learning, or for direct use in a class. Each lasts between about four and nine minutes.
A series of twenty lectures from a free online course that ran in 2012. Each is broken into chunks of about ten minutes. The video format shows the speaker's face along with slides that he annotates live. Topics include decision theory, economic growth, Markov chains, fitting lines to data, linear and non-linear models, agent-based models, co-ordination problems in game theory, networks, random walks, and auctions, among others.
Five hours of lectures from a free online course that ran in 2012, broken up into chunks of about ten minutes. The video format combines a live-annotated slide presentation with a small window showing the speaker.
This 39-page PDF document is a draft of an encyclopedia entry and has been released as a research report by LSE's Centre for Discrete and Applicable Mathematics. It has ten sections and includes a glossary. The final version was published in volume 2 of the Encyclopedia of Information Systems in 2002.
From a game theory course taught at the LSE Maths department, this page collects exercises and solution sets (in different HTML files) and old exam papers in PDF. It also includes a comprehensive set of notes on game theory, available as a PDF download of over 150 pages. There are links to audio and video of lectures, but these are only available to members of the LSE.
A short version (nine minutes) and a long version (22 minutes) video introduces the Prisoner's Dilemma using slides and commentary. It is in ASX streaming format which requires Windows Media Player.
This 134-page PDF booklet was compiled from lecture notes for a course in Game Theory at the University of Kaiserslautern. The course was delivered in Winter 2003/04 and the manuscript was released in March 2007. After an introductory chapter discussing two-person games, the chapters are "Brouwer's Fixed Point Theorem and Nash's Equilibrium Theorem", "More general Equilibrium Theorems", "Cooperative Games", and "Differential Games".
This is 15-minute audio programme first aired on the BBC on 31 October 2003 and covers game theory and its applications. It is presented by Simon Singh and is part of his Radio 4 series "Another 5 Numbers," which looks at the mathematical, social and scientific history and significance of five numbers.
This site hosts a set of online interactive games which can be customised by lecturers and then played by groups using web browsers. Lecturers then have access to statistics for student performance. The site is free to use for one course per term.
Dating from 2006, this is an online game creator/solver that runs in a web browser. Enter payoffs into a matrix and click the buttons to identify saddle points or dominated strategies.
The test contains 20 true/false questions. The score is calculated as you go along. This site accompanies the authors' textbook, "Finite Mathematics," one chapter of which is on game theory. It has been produced by Stefan Waner and Steven R. Costenoble of Hofstra University.
This is a set of three Java models to illustrate the iterated Prisoner's Dilemma.
About 150 entries are given quite full, cross-referenced definitions, each of which is linked to further learning material. This glossary of game theory terms ranges from Absolute Auction to Zero Sum.
This is a nine-question self-test in which the user answers multiple-choice questions about equilibria in games that are set out in normal form.
Three questions involving games in extensive form, with equilibria to be found be backwards induction.
Nine multiple-choice questions about mixed strategy equilibria are presented in this interactive self-test.
This companion page for the game theory book "Co-opetition" provides some simple interactive games connected to themes in the book. Games available are: Test your decision making, Settlement Escrows (a negotiation tool), Guessing game, Performance Review, Target Practice, and Production Forecasting.
Graphic representations of various concepts in microeconomics (e.g. monopoly, consumer and producer surplus, Edgeworth Box), macroeconomics (e.g. Solow growth model, Keynesian cross, Lorenz Curve and Gini coefficient), game theory (e.g. Nash equilibrium in 3x3 game, binomial tree) and financial theory (e.g. net present value, price-yield curve). Submitted by various authors in Mathematica, with short explanation of underlying theory, and options to manipulate the diagram by changing the different variables. To do this, and view the demonstrations in the browser, requires download of the Mathematica Player browser plug-in which is available for Windows, Linux or Mac. These form part of the Wolfram Demonstrations Project, hosted on the website of independent scientist Stephen Wolfram as a development of his popular Mathematica program.
The Nobel Foundation makes available a great deal of material on each of the Economics prize winners, including video of each Prize Lecture since Robert Mundell in 1999. As well as a lay introduction to each prize winner's research, there are "Advanced information" links giving a more technical explanation. This link is to the Economics Network's quick index of lecture videos and related materials on the site. Each video is a full lecture (usually between 40 and 60 minutes) with good audio and video quality, and pitched at a non-technical audience. Transcripts of each lecture are available.
A set of configurable, graphically appealing, online interactive games that work across laptops, iOS (Apple) and Android devices. Instructors can customise the games, or use default settings, and students join by entering a class code. The instructor gets a graphical analysis of outcomes immediately at the end of the session, for use in class discussion. The site has course guides that suggest how to sequence the games in different Economics courses, and each game has references to relevant papers. The site's apps can also be used to administer individual survey or assessment questions online.
Ten multiple-choices questions based on two numerical examples of pay and effort, from a course on game theory.
From a principles course originally distributed on CD-ROM, this seven-section tutorial uses spoken and written text with animated graphs and definitions of key terms. There are approximately 35 minutes of material in this tutorial.
This set of talks was given on 8 January 2009 as part of the PhD seminar series organised by the School of Economics and Finance of the University of St Andrews. Prof. Thomas Lux speaks on how economic systems can be seen as evolutionary models, where agents interact with each other and a selection process favours the most successful. He introduces underlying dynamical systems as well as the necessary game theoretic concepts. Video can be downloaded in WMV format and presentation slides / handouts are also available.
Archived handouts, slides and exercises from a 2009 course, organised around 21 lectures. The course contains many case studies.
This document lists historical milestones in the development of game theory up to the awarding of the Nobel Prizes to Nash, Harsanyi and Selten (1994) and Aumann and Schelling (2005). Entries are short paragraphs within a timeline. It includes bibliographical notes for reference.
This site hosts Java tools which enable you to create, play and analyse games in strategic or extensive form. The given examples include games from Roy Gardner's book "Games for Business and Economics". Extensive instructions are given on how to create the games, which require no programming. The extensive form module requires you to use Sun's latest version of Java rather than the browser's version, so you may need to download a large Java plug-in. The strategic form module allows several students to play across a network, moderated by a lecturer.
At the foot of this page are extensive notes from 15 lectures by a philosopher on game theory and rational choice. Topics include the Allais and Ellsburg paradoxes, criteria of rationality and evolutionary considerations.
Sonderforschungsbereich 504 is an interdisciplinary research group combining economists with social psychologists. This glossary provides well-written short articles in English on the basic concepts of economics and econometrics, as well as the psychology of decision making and social judgement. Covers most of the 'heuristics and biases' causing deviations from rational choice, e.g. availability, representativeness, risk aversion, anchoring-and-adjustment. Also covers behavioural finance, game theory, experimental economics, auction theory; and applications to life-cycle savings decisions. Essays are cross-referenced to entries in the site's bibliography.
Al Roth's game theory, experimental economics and market design page includes introductory articles called: Game-Theoretic Models of Bargaining, Two-Sided Matching Models, Experimental Economics, Is Economics a Science?, and Matching and Allocation in Medicine and Health Care.
Game Theory : an introductory sketch by Roger A. McCain presents nearly twenty sections of an introductory game theory textbook. The site uses frames so that the index page and a content page are always presented together. The examples of game theory applications include queuing, college applications and marriage vows.
Modeling bounded rationality is a textbook on advanced game theoretic models of bounded rationality, written by Ariel Rubinstein in 1998. It "provides potential material for a one-term graduate course. The choice of material is highly subjective. Bibliographic notes appear at the end of each chapter. The projects that follow those notes contain speculative material and ideas that the reader should consider with caution." The book is available as a single PDF file of 220 pages to download.
Current and past materials from an introductory Game Theory course. It includes recommended readings, problem sets, a 95-page PDF booklet of lecture notes, and past exam papers with answers.
This 21-page PDF, dated December 2011, is intended as a basic introduction to game theory for students in "courses [which] assumed familiarity with game theory but did not require it as a prerequisite." The first section introduces normal-form games up to the concept of a Nash Equilibrium. The other section discusses sequentiality and backward induction. The booklet concludes with some exercises.
Course page for a 2014 course based around Dixit and Susan Skeath's text Games of Strategy. Includes a 95-page PDF booklet of detailed lecture notes and problems, reading list for the 12-week course, and problem sets and tests with answers.