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I'm going to teach an undergraduate game theory course next quarter. I can do whatever I want, limited by the fact that the students have only had one quarter of multivariable calculus.

I won't pick just one book; I'll take material from anything that looks good. The syllabus says "Covers two-person zero-sum games, minimax theorem, and relation to linear programming. Includes non-zero-sum games, Nash equilibrium theorem, bargaining, the core, and the Shapley value. Addresses economic market games." However, I'd like to do some evolutionary game theory.

Today I checked out three books for inspiration:

• J. D. Williams,

• Andrew M. Colman,

• Thomas L. Vincent and Joel S. Brown,

**What books do you suggest? And do you know any good ways to actually play 2-person games in class, or against a computer online?**I won't pick just one book; I'll take material from anything that looks good. The syllabus says "Covers two-person zero-sum games, minimax theorem, and relation to linear programming. Includes non-zero-sum games, Nash equilibrium theorem, bargaining, the core, and the Shapley value. Addresses economic market games." However, I'd like to do some evolutionary game theory.

Today I checked out three books for inspiration:

• J. D. Williams,

*The Compleat Strategyst*.• Andrew M. Colman,

*Game Theory and its Applications in the Social and Biological Sciences*.• Thomas L. Vincent and Joel S. Brown,

*Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics*.View 69 previous comments

- Given one of my classes was rescheduled to 6:40-8pm, I've decided to buckle up for a 20 unit quarter and take this (4 units of research, a Lapidus Fourier Analysis class, grad topology, linear algebra, and this can't be too terrible, right?). I'm interested to see what you make out of this, and it sounds fun!

Hopefully you can get to some of that more advanced material! Having been through a class with Dr. Lapidus where students came in with a wide variety of backgrounds, I'm definitely cognizant of the fact it's tough to get through much interesting material without losing a whole lot of the class, but he managed to do it in a way that most people end up able to follow by developing all the background material; granted, the course ended up going a little slow as a result. I know pretty much nothing about game theory, so I don't have much in the way of suggestions, but good luck! If you can't get to evolutionary game theory to a degree you find satisfactory, I think you should create an experimental course in the subject! Lapidus has had a monopoly on experimental courses for long enough! ;-)Dec 15, 2012 - I'm glad you'll be there, +Reeve Garrett. I'll keep this course pretty easy mathematically, but game theory changes your whole view of the world, just like mathematical logic does, or probability theory, or evolutionary biology. It's one of the 'big ideas' that hit the 20th century.Dec 15, 2012
- There are at least 3 distinct notions of game that i know about: von Neumann, Conway and Abramsky-Hyland-Ong. Which notion(s) of game are you going to teach?Jan 2, 2013
- In a typical undergraduate game theory course, which is roughly what I'll be teaching, you start with the von Neumann-Morgenstern theory of two-player games and the minimax solution. Then you go to multi-player games and the ideas of 'coalition', 'core', and 'stable set'. I will also try to talk about evolutionary game theory for two-player games.

So, nothing about Conway and Abramsky-Hyland-Ong.Jan 2, 2013 - It sounds like good fun! Let me recommend Vicious Circles, by Barwise and Moss. They introduce some bridging concepts between the two worlds -- which help to see the relationship between games and bisimulation.

http://www.amazon.com/Vicious-Circles-Center-Language-Information/dp/1575860082Jan 3, 2013 - Sounds interesting!Jan 4, 2013