In　this　paper,　we　propose　two　axioms　based　on　the　idea　of　fair　distribution　of　surplus.　We　prove　that　these　two　axioms　uniquely　determine　an　efficient　extension　of　the　Myerson　value.　Moreover,　we　also　show　that　another　efficient　extension　of　the　Myerson　value,　the　efficient　egalitarian　Myerson　value,　can　be　characterized　with　one　of　our　axioms　and　the　fair　distribution　of　surplus　axiom.　2018　Elsevier　B.V.　All　rights　reserved.