Introduction to Strategic Form Games -- Dominance -- Rationalizability -- Nash Equilibrium -- Perfect Equilibrium -- Evolutionary Stable Strategies -- Correlated Equilibrium -- Bayesian Nash Equilibrium -- Introduction to Extensive Form Games -- Subgame Perfect Nash Equilibrium -- Sequential...

The literature on the computation of Nash equilibria in n-person games is dominated by simplicial methods. This paper is the first to introduce a globally convergent algorithm that fully exploits the differentiability present in the problem. It presents an everywhere differentiable homotopy to...