Gettysburg University has a nice webpage on Counterfactual Regret. Counterfactual Regret was used by the University of Alberta to solve the heads up limit Holdem poker game. (See e.g. the pokernews.com article).
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Dr Xu at Penn State introduced me to Richardson Extrapolation way back in the early 90’s. We used it to increase the speed of convergence of finite element analysis algorithms for partial differential equations, but it can be used for many numerical methods.