On 1979, he published a seminal paper in Econometrica introducing the notion of dominance solvable games.
2.
The prisoner's dilemma is an example of a max-solvable game ( as it is also dominance solvable ).
3.
It may come by surprise then that "'weakly max-solvable games "'do not necessarily converge to a pure Nash equilibrium when using the best-reply dynamics, as can be seen in the game on the right.
4.
As in the previous part one can define respectively the notion of "'weakly max-solvable games "', which are games for which a game with a single strategy profile can be reached by eliminating "'weakly max-dominated strategies " '.