Meta-frontier　directional　distance　function　(DDF)　is　an　important　method　to　evaluate　the　efficiency　of　decision-making　units　(DMUs)　with　technical　heterogeneity.　However,　this　method　can　only　use　exogenous　technology　to　determine　the　direction,　because　the　application　of　endogenous　technique　has　the　theoretical　dilemma　that　DMUs　have　two　frontiers　with　different　data　characteristics.　According　to　this　dilemma,　game　theory　is　introduced　to　balance　the　relationship　between　group-frontier　and　meta-frontier,　and　then　their　data　characteristics　can　be　unified.　Sequentially,　Stackelberg　game　and　non-cooperative　game　are　gradually　applied　to　construct　the　meta-frontier　DDF　with　endogenous　technique,　and　their　convergence,　uniformity　and　optimality　are　proved;　while　their　advantages　and　relationship　are　discussed,　respectively.　Compared　with　traditional　methods,　the　new　meta-frontier　DDF　methods　uses　an　endogenous　technique　to　determine　the　unified　improvement　direction　of　DMUs　based　on　different　frontiers,　and　then　the　results　can　be　more　objective　and　reasonable.　Finally,　an　empirical　example　is　used　to　illustrate　the　effectiveness　of　these　new　methods.