Before revision:  Thus, most algorithms seek to obtain a certain notion of local }  min-max point where, roughly speaking, each player optimizes her payoff in a local sense .
After revision:  Thus, most algorithms seek to obtain a certain notion of local } min-max point may be computationally intractable. There is a long line of work that seeks computationally tractable algorithms for alternatives to the min-max point where, roughly speaking, each player optimizes her payoff in a local sense .