Game Theory Resources

Here are some resources on game theory. See also the Gambit Ideas page http://www.gambit-project.org/doc/ideas.html .

• "Game Theory Basics", by Bernhard von Stengel, most relevant are chapters 2, 3, 4, 6.

• B. von Stengel (2007), Equilibrium computation for two-player games in strategic and extensive form. Chapter 3, Algorithmic Game Theory, eds. N. Nisan, T. Roughgarden, E. Tardos, and V. Vazirani, Cambridge Univ. Press, Cambridge, 53-78. Lemke-Howson, integer pivoting, sequence form are all explained here. http://www.maths.lse.ac.uk/Personal/stengel/TEXTE/agt-stengel.pdf

• D. Avis, G. Rosenberg, R. Savani, and B. von Stengel (2010), Enumeration of Nash equilibria for two-player games. Economic Theory 42, 9-37. http://www.maths.lse.ac.uk/Personal/stengel/ETissue/ARSvS.pdf