More on game theory

The death of John Nash with his wife Alicia in a car accident is a sad, sad end to a remarkable life. The story of Nash’s genius, madness and recovery is well known thanks to the movie based on Sylvia Nasar’s wonderful biography, . There have been many obituaries and appreciations. This VoxEU column is an excellent outline of why Nash’s work was so important for economics.** John Cassidy has a nice New Yorker column. is certainly worth a go – there are pdfs of the introductory material on the Princeton University Press website – and there is plenty of material on the Nobel prize website.

[amazon_image id=”0691095272″ link=”true” target=”_blank” size=”medium” ]The Essential John Nash[/amazon_image]   [amazon_image id=”0571212921″ link=”true” target=”_blank” size=”medium” ]A Beautiful Mind[/amazon_image]

For more on game theory, one very enjoyable historical perspective – looking too at other uses of mathematics in economics – is Paul Strathern’s . It starts with John Von Neumann (giving the impression that Peter Sellers as Dr Strangelove only slightly overacted the role), and Morgenstern ad Von Neumann’s and ends with John Nash. Interestingly, Strathern focuses on the difference between co-operative and non-cooperative games rather than zero and non-zero sum. As for the uses of game theory in life, rather than just economics, my favourite book is Dixit and Nalebuff’s – it has a website where you can read an excerpt.

Step one in using game theory in life is just to think about how other people will react to your actions – something so easy to say, yet so rarely done.*  And how paradoxical that something that seems like common sense had its roots in unusually tortured genius.

[amazon_image id=”0140299866″ link=”true” target=”_blank” size=”medium” ]Dr. Strangelove’s Game: A Brief History of Economic Genius[/amazon_image]  [amazon_image id=”0691130612″ link=”true” target=”_blank” size=”medium” ]Theory of Games and Economic Behavior (Princeton Classic Editions)[/amazon_image]  [amazon_image id=”0393337170″ link=”true” target=”_blank” size=”medium” ]The Art of Strategy: A Game Theorist’s Guide to Success in Business and Life[/amazon_image]

Dr Strangelove, an atypical economist

Dr Strangelove, an atypical economist

*I remember once saying to a room full of policy economists that figuring out the Nash equilibrium in the context of a decision different EU governments were making at the same time meant our policy advice was a no-brainer; not all of them got the point.

** Update for econ anoraks: Note the nice description here of Nash’s bargaining solution as a Possibility Theorem, published at the same time Arrow developed his Impossibility Theorem. I think it’s the unrestricted domain axiom that makes the difference.

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Introducing game theory

A question in the comments: what books are suitable to introduce game theory to a young reader? I asked on Twitter and got loads of good replies – huge thanks to all who made suggestions:

Ariel Rubinstein’s  (I loved this book so much it was the Enlightened Economist Book of the Year in 2012)

[amazon_image id=”1906924775″ link=”true” target=”_blank” size=”medium” ]Economic Fables[/amazon_image]

 Fiona Carmichael

 by William Poundstone

[amazon_image id=”038541580X” link=”true” target=”_blank” size=”medium” ]Prisoner’s Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bomb[/amazon_image]

 by Ken Binmore, or his

[amazon_image id=”0669246034″ link=”true” target=”_blank” size=”medium” ]Fun and Games: A Text on Game Theory[/amazon_image]

or  by Avinash Dixit and Barry Nalebuff (I’ve read these, too, and they’re pitched at a business audience so very accessible)

A critique of game theory,  Shaun Hargreaves Heap and Yanis Varoufakis

Finally, some recommended online lectures – Ben Polak’s Yale course.

 

 

 

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