Connectivity and Equilibrium in Random Games

@article{Daskalakis2007ConnectivityAE,
  title={Connectivity and Equilibrium in Random Games},
  author={Constantinos Daskalakis and Alexandros G. Dimakis and Elchanan Mossel},
  journal={CoRR},
  year={2007},
  volume={abs/math/0703902}
}
We study how the structure of the interaction graph of a game affects the existence of pure Nash equilibria. In particular, for a fixed interaction graph, we are interested in whether there are pure Nash equilibria arising when random utility tables are assigned to the players. We provide conditions for the structure of the graph under which equilibria are likely to exist and complementary conditions which make the existence of equilibria highly unlikely. Our results have immediate implications… CONTINUE READING

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