<p>Cohesive players are a generalization of necessary players, where a player being a cohesive player means that his absence would result in the coalition’s worth being equal to the sum of the individual worths of its members. This paper proposes axioms on cohesive players to characterize the positively weighted Shapley values. The authors first suggest (weak) differential invariance for cohesive players and equal surplus of cohesive players to axiomatize the Shapley value. Then, using weak versions of these two axioms, the authors provide axiomatizations of the class of positively weighted Shapley values.</p>