In　this　paper,　we　propose　a　new　kind　of　players　as　a　compromise　between　the　null　player　and　the　A-null　player.　It　turns　out　that　the　axiom　requiring　this　kind　of　players　to　get　zero-payoff　together　with　the　well-known　axioms　of　efficiency,　additivity,　coalitional　symmetry,　and　intra-coalitional　symmetry　characterize　the　Shapley-solidarity　value.　This　way,　the　difference　between　the　Shapely-solidarity　value　and　the　Owen　value　is　pinpointed　to　just　one　axiom.　(C)　2017　Elsevier　B.V.　All　rights　reserved.