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Game Theory Research
Game theory is the formal study of conflict and cooperation. Game theoretic concepts apply whenever the actions of several agents are interdependent. These agents may be individuals, groups, firms, or any combination of these. The concepts of game theory provide a language to formulate, structure, analyse and understand strategic scenarios.
Individual faculty interests are listed below, along with our Research students.
Dr Galit Ashkenazi-Golan
Repeated games; Markov decision processes and stochastic games; Borel games; games with incomplete information; games with imperfect monitoring
Professor Olivier Gossner
Game theory; economics of information; bounded rationality and complexity; repeated games
Professor Andrew Lewis-Pye
Logic; computability; discrete mathematics; algorithmic randomness; network science; complex systems; distributed computing; cryptocurrencies
Dr Grammateia Kotsialou
Liquid democracy; distributed ledger technology; mechanism design; decentralised governance structures; algorithmic economics
Dr Katerina Papadaki
Multiagent learning in pricing games; search and patrolling games; robust optimisation; combinatorial optimisation; approximate dynamic programming algorithms; applications in wireless networks, transportation, energy efficiency, scheduling, and financial portfolio optimisation
Professor Bernhard von Stengel
Game theory; efficient computation of equilibria; theory of online algorithms; extensive form games; correlated equilibria; pivoting algorithms in linear programming; polytope theory
Johannes Brustle
Masha Dalirrooyfard
Sahar Jahani
Edward Plumb
Seminar on Combinatorics, Games and Optimisation
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Game Theory: A New Tool for Economists
In the last 25 years, many if not most significant innovations in economics have been driven by this methodological innovation.
November 01, 2000
In the last 25 years, many and perhaps most significant innovations in economics have been driven by the use of game theory, which provides economists with a language and analytical tools to study many economic interactions that older tools, such as price theory, couldn’t touch. These interactions involve dynamics, private information, small numbers, and non-market institutions. “The impact on economics has been very dramatic,” says David Kreps, the Paul E. Holden Professor of Economics.
While the roots of game theory go back to the 19 th century, modern developments trace largely from after World War II. Among the pioneers were business school academics John Harsanyi, now at Berkeley, and Howard Raiffa, currently at Harvard. But the explosive adoption of game theory by economists began in the early 1970s, led in particular by Stanford’s Robert Wilson, the Adams Distinguished Professor of Management.
“Bob Wilson, especially in his work on competitive bidding and the winner’s curse [of often bidding more than something is worth], showed how game theory can be used to analyze difficult economic problems,” says Kreps. “And his students have been instrumental in extending his ideas.” Wilson continues to innovate. With Business School professor John McMillan, Paul Milgrom of the Stanford Economics Department, and University of Texas professor Preston McAfee, Wilson played a leading role in the design of auctions to sell spectrum rights for U.S. wireless communication. “The spectrum auctions are a rare example of public policy flowing directly from academic research,” McMillan says. “They’ve been a success, generating more than $20 billion. They’ve helped validate the idea that market incentives are an important tool of public policy.”
Wilson has also been at work designing decentralized markets for electricity supply, demand, and transmission for the State of California. “Bob has been the single most influential individual in this methodological innovation in the world, as well as being one of the true intellectual leaders of the Business School,” says Kreps.
The rise of game theory is an example of a match between methodology and subject matter, he says. The early 1970s was also the time when information economics was developed. This branch of economics, which focuses on topics such as incentives and market signaling, numbers among its most influential founders the School’s former dean A. Michael Spence. Information economics provided the contextual puzzles, and game theory provided the key to unlock those puzzles. Much of the unlocking took place at business schools, with Stanford and Northwestern in the vanguard.
Today, these ideas permeate the curriculum of business schools: Subjects that were dramatically changed by these innovations include strategic management, human resource management, managerial accounting, and business and the environment.
Game theory also can be found outside the classroom. Regulators in the Antitrust Division of the U.S. Department of Justice, at the Federal Trade Commission, and in agencies that regulate financial markets rely heavily on game theory to frame their arguments and analyses. “We’re at the point where game theory really dominates the modern analysis; it’s essential in a job like mine,” says Jeremy Bulow, the School’s Richard A. Stepp Professor of Economics, on leave to serve as chief economist at the FTC’s Bureau of Economics.
Three decades ago, the government’s chief focus in antitrust policy was to preserve competitors, not competition. But things are more sophisticated now. One example, Bulow notes, is a predatory practices case being prepared by the Justice Department against American Airlines. Using game theoretic models, economists can examine to what extent taking losses in entry markets will help the airline build a reputation for toughness that will deter entry by competitors. Game theory also can assess so-called “switching costs.” For example, airlines create frequent flyer programs to make switching costs high for consumers. In the case of bundling software such as Microsoft Office or packaging car options, consumers sometimes get features at lower cost, but bundling can also deter entry of worthy competitors.
Game theory also has proved useful in analyzing corporate strategy, both in terms of showing firms how to “play” the game in which they are enmeshed and how they might change the rules to their benefit. “One of the messages that game theory gives you is that you need to forecast accurately the beliefs, the expectations, and the behavior of other parties with whom you’re interdependent in terms of profits and payoffs,” says John Roberts, the Jonathan B. Lovelace Professor of Economics at the School.
For example, when chip maker Intel Corp. built its first microprocessor, the 086, it gave up its monopoly position and created a second source. Intel figured that customers would hesitate to develop products using the 086 if they had only one supplier. By creating a second source-its own competitor-Intel ensured demand for microprocessors would take off. “Something that’s hard to understand suddenly makes sense when you think about it in game-theoretic terms,” says Roberts.
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Stanford Online
Game theory.
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Stanford School of Engineering
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Matthew O. Jackson, Professor of Economics, Stanford University
Kevin Leyton-Brown, Professor of Computer Science, The University of British Columbia
Yoav Shoham, Professor of Computer Science, Stanford University
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Game Theory
Kyle Bagwell
B. Douglas Bernheim
Liran Einav
Peter J. Hammond
Matthew O. Jackson
Jonathan Levin
Andrzej Skrzypacz
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- Prof. Mihai Manea
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API-303: Game Theory and Strategic Decisions
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Pınar Doğan
This course uses game theory to study strategic behavior in real-world situations. It develops theoretical concepts, such as incentives, strategies, threats and promises, and signaling, with application to a range of policy issues. Examples will be drawn from a wide variety of areas, such as competition, bargaining, auction design, and voting behavior. This course will also explore how people actually behave in strategic settings through a series of participatory demonstrations.
Students may receive credit for both API-303 and API-110 or API-112 only if API-303 is taken first.
Open Yale Courses
You are here, game theory.
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 signaling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere.
This Yale College course, taught on campus twice per week for 75 minutes, was recorded for Open Yale Courses in Fall 2007.
A. Dixit and B. Nalebuff. Thinking Strategically , Norton 1991
J. Watson. Strategy: An Introduction to Game Theory , Norton 2002
P.K. Dutta. Strategies and Games: Theory And Practice , MIT 1999
Who should take this course? This course is an introduction to game theory. Introductory microeconomics (115 or equivalent) is required. Intermediate micro (150/2) is not required, but it is recommended. We will use calculus (mostly one variable) in this course. We will also refer to ideas like probability and expectation. Some may prefer to take the course next academic year once they have more background. Students who have already taken Econ 156b should not enroll in this class.
Course Aims and Methods. Game theory is a way of thinking about strategic situations. One aim of the course is to teach you some strategic considerations to take into account making your choices. A second aim is to predict how other people or organizations behave when they are in strategic settings. We will see that these aims are closely related. We will learn new concepts, methods and terminology. A third aim is to apply these tools to settings from economics and from elsewhere. The course will emphasize examples. We will also play several games in class.
Outline and Reading. Most of the reading for this course comes from the first ten chapters of Dutta or from the first two parts of Watson. There will be a reading packet for weeks 6-7. The readings are not compulsory, but they will help back up the class material.
Problem sets: 30% Midterm examination: 30% Final examination: 40%
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We have 15 game theory PhD Projects, Programmes & Scholarships
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game theory PhD Projects, Programmes & Scholarships
Design, implementation and evaluation of non-cooperative game theoretic models for cyber security, phd research project.
PhD Research Projects are advertised opportunities to examine a pre-defined topic or answer a stated research question. Some projects may also provide scope for you to propose your own ideas and approaches.
Self-Funded PhD Students Only
This project does not have funding attached. You will need to have your own means of paying fees and living costs and / or seek separate funding from student finance, charities or trusts.
Strategic Macroeconomic Policy Interactions and the Optimal Design of Institutions
Collaborative probabilistic machine learning, competition funded phd project (students worldwide).
This project is in competition for funding with other projects. Usually the project which receives the best applicant will be successful. Unsuccessful projects may still go ahead as self-funded opportunities. Applications for the project are welcome from all suitably qualified candidates, but potential funding may be restricted to a limited set of nationalities. You should check the project and department details for more information.
Machine Learning for Energy System Analytics
Integrated high altitude platform: leo satellite mega-constellations for next generation non-terrestrial networks, artificial intelligence enabled distributed edge-centric cellular networks, 6g wireless communications for connected and autonomous vehicles in challenging environments, digitalisation of energy systems, towards trustworthy and responsible llms through verification and validation, phd program in economic analysis and business strategy, awaiting funding decision/possible external funding.
This programme is waiting to confirm funding from a university or external source. This may depend on attracting suitable students and applications are welcome. Please see the programme details for more information.
Spain PhD Programme
A Spanish PhD takes 3 years (this is usually the maximum length of time students can enrol). You will focus on independent research towards your thesis, but some programmes may also require you to complete additional classes and courses. Your doctoral thesis will eventually be examined at a public defence. Most programmes are delivered in Spanish, but some universities offer English-language teaching.
Computing and Information Sciences Doctor of Philosophy (Ph.D.) Degree
Funded phd project (students worldwide).
This project has funding attached, subject to eligibility criteria. Applications for the project are welcome from all suitably qualified candidates, but its funding may be restricted to a limited set of nationalities. You should check the project and department details for more information.
Exploring innovative clinical teaching strategies and their implementation through the use of technology enhanced leaning: A case study of two medical schools, in Dundee and Iraq
Sustainable and robust federated learning for cyber threats detection in 5g networks.
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Game Theory
Professor: Marrone Units: 1.0 Elective Course Concentrations: Economic Analysis and Quantitative Methods
This course provides students with an introduction to game theory. It covers the four main types of games: (1) static games of complete information, (2) dynamics games of complete information, (3) static games of incomplete information, and (4) dynamic games of incomplete information. Numerous applications and topics are explored including asymmetric information, moral hazard, bargaining and auctions. Examples are drawn from economics, political science, and biology as well as other fields depending on student interest.
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Books for game theory
I recently attended some Game Theory talks and fell in love with it. I would like to find some books, online courses, general resources of any kind to self-study this (securely) wonderful subject.
My background is in pure mathematics with emphasis in discrete mathematics (graph theory, cryptography, coding theory, combinatorics), so I would like to start by something that is actual and "mathematical" if possible. I really enjoy reading academic books with a proper introduction to the subject (i.e., by talking a bit about the history behind it and explanations of why it is interesting to get in this topic).
I also hate Bourbaki's style, so I would be grateful if we can avoid resources like those.
- reference-request
- game-theory
- 1 $\begingroup$ arielrubinstein.tau.ac.il/books.html $\endgroup$ – Rodrigo de Azevedo Commented Aug 4, 2020 at 9:21
2 Answers 2
There are many books on game theory. I am mostly familiar with those written by economists. The fact that books listed below are (mostly) written by economists does not mean they are not rigorous! But it means that certain aspects are taken for granted, for example, in the choice of examples covered.
Undergraduate books:
- Osborne "An Introduction to Game Theory" - Probably the most comprehensive introduction to game theory. It is undergraduate but uses math.
- Gibbons "Game Theory for Applied Economists" - Another good introduction.
These are probably the most mathematical and most complete undergraduate textbooks (though I might be unfamiliar with some newer ones).
Graduate books:
There are three classic textbooks for graduate level game theory.
- Fudenberg and Tirole - Game Theory
- Myerson - Game Theory: Analysis of Conflict
- Rubinstein and Osborne - A Course in Game Theory
Out of these three I personally recommend the last one. It is the shortest of the three, but the most elegant. It covers standard topics taught to PhD students in economics in the 1st year of PhD and you might be able to get it for free from Ariel Rubinstein's website. Fudenberg Tirole covers broader set of topics than Rubinstein and Osborne. Importantly, it covers mechanism design and auctions (also core topics). But is covers a lot of material and some it is is outside of what I would call the "core". I have not used the book by Myerson so can't comment on it, but heard it is a nice companion to either of the two.
More advanced books:
- Maliath Samuelson - Repeated Games and Reputations: Long-Run Relationships
- Bolton Dewatripont - Contract Theory
- Zamir, Maschler & Solan - Game Theory
- Krishna - Auction Theory
Once you learned the basic of game theory it is time to choose more specialized topics. Maliath and Samuelson focuses on a more recent developments in repeated games with particular focus on the role of reputation. Bolton and Dewatripont, as the name suggests, focus on design of optimal contracts. The book Zamir, Maschler & Solan is a great modern reference. It is really a encyclopedia of Game Theory and I would never suggest to anyone going through all of it. I doubt thee are more than a handful researchers that know ALL of that stuff. But it is a great way to get a quick start on a particular topic of interest. Finally, the book by Krishna is the reference for Auction theory, which has found a lot of applications outside academia.
Another good reference is the "Handbook of Game Theory" which consists of three volumes. Again, it is really a reference for researchers who want a quick introduction to a particular topic rather than a textbook to learn from it.
P.S. This guide is written from a perspective of economist.
Best book I've seen so far: Zamir, Maschler & Solan ( https://books.google.fr/books/about/Game_Theory.html?id=lqwzqgvhwXsC&source=kp_book_description&redir_esc=y ).
The book is very in-depth, touches many subjects within game theory and multi-leveled mathematical (the deep of the mathematics depends on you. Some can be skipped, some even PhD students in the field will struggle with).
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Lecture Notes
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Game Theory Research. Game theory is the formal study of conflict and cooperation. Game theoretic concepts apply whenever the actions of several agents are interdependent. These agents may be individuals, groups, firms, or any combination of these. The concepts of game theory provide a language to formulate, structure, analyse and understand ...
Using game theoretic models, economists can examine to what extent taking losses in entry markets will help the airline build a reputation for toughness that will deter entry by competitors. Game theory also can assess so-called "switching costs.". For example, airlines create frequent flyer programs to make switching costs high for consumers.
This class is a PhD-level introduction to game theory, which provides fundamental tools for analyzing strategic incentives in economics and political science. The course introduces basic concepts of game theory with an emphasis on applications in political economy. Topics include elements of decision theory, strategic-form games and Nash ...
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Game Theory. Konstantin Sonin. Tuesday, Thursday. 9:30am-10:50am. Syllabus. This course introduces students to games of complete information through solving problem sets. We will cover the concepts of dominant strategies, rationalizable strategies, Nash equilibrium, subgame perfection, backward induction, and imperfect information.
t. e. Game theory is the study of mathematical models of strategic interactions. [ 1] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [ 2] Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...
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Graduate books: There are three classic textbooks for graduate level game theory. Fudenberg and Tirole - Game Theory. Myerson - Game Theory: Analysis of Conflict. Rubinstein and Osborne - A Course in Game Theory. Out of these three I personally recommend the last one. It is the shortest of the three, but the most elegant.
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