SODA Conference 2019 Conference Paper
Theorems of Carathéodory, Helly, and Tverberg without dimension
- Karim A. Adiprasito
- Imre Bárány
- Nabil H. Mustafa
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SODA Conference 2019 Conference Paper
FOCS Conference 2005 Conference Paper
We consider Nash equilibria in 2-player random games and analyze a simple Las Vegas algorithm for finding an equilibrium. The algorithm is combinatorial and always finds a Nash equilibrium; on m /spl times/ n payoff matrices, it runs in time O(m/sup 2/n log log n + n/sup 2/m log log m) with high probability. Our main tool is a polytope formulation of equilibria.