## References 

[1] Nabil I. Al-Najjar and Rann Smorodinsky. Pivotal players and the characterization of influence. J. Econom. Theory , 92(2):318–342, 2000. 

[2] Noga Alon and Joel H. Spencer. The probabilistic method . Wiley-Interscience Series in Discrete Mathe- matics and Optimization. John Wiley & Sons Inc., Hoboken, NJ, third edition, 2008. With an appendix on the life and work of Paul Erd˝ os. 

[3] Guilherme Carmona. On the purification of Nash equilibria of large games. Econom. Lett. , 85(2):215– 219, 2004. 

[4] Guilherme Carmona. Purification of Bayesian-Nash equilibria in large games with compact type and action spaces. J. Math. Econom. , 44(12):1302–1311, 2008. 

[5] Guilherme Carmona and Konrad Podczeck. On the existence of pure-strategy equilibria in large games. Journal of Economic Theory , 144:1300–1319, 2009. 

[6] Guilherme Carmona and Konrad Podczeck. Ex–post stability of Bayes–Nash equilibria of large games. Games and Economic Behavior , 74(1):418–430, 2012. 

[7] Edward Cartwright and Myrna Wooders. On equilibrium in pure strategies in games with many players. Internat. J. Game Theory , 38(1):137–153, 2009. 

[8] Constantinos Daskalakis and Christos Papadimitriou. Computing equilibria in anonymous games. 48th Annual IEEE Symposium on Foundations of Computer Science , pages 83–93, 2007. 

[9] Joyee Deb and Ehud Kalai. Stability in large bayesian games with heterogeneous players. Working paper , 2010. 

[10] Ronen Gradwohl and Omer Reingold. Partial exposure in large games. Games and Economic Behavior , 68(2):602–613, 2010. 

[11] Matthew O. Jackson. Social and economic Networks . Princeton University Press, 2008. 

[12] Ehud Kalai. Large robust games. Econometrica , 72(6):1631–1665, 2004. 

[13] Michel Ledoux. The concentration of measure phenomenon , volume 89 of Mathematical Surveys and Monographs . American Mathematical Society, Providence, RI, 2001. 

[14] Paul Milgrom and John Roberts. Rationalizability, learning, and equilibrium in games with strategic complementarities. Econometrica , 58(6):1255–1277, 1990. 

[15] Dov Monderer and Lloyd S. Shapley. Potential games. Games Econom. Behav. , 14:124–143, 1996. 

[16] The Leisure of the Theory Class. Brouwer, tarski and the existence of nash equilibrium. http://theoryclass.wordpress.com/2010/10/05/brouwer-tarski-and-the-existence-of-nash-equilibrium/, 2010. 

