Constrained welfare egalitarianism in surplus-sharing problems

Abstract The constrained equal welfare rule, f C E , distributes the surplus according to uniform gains method and, hence, equalizes of agents subsequent allocation process, subject making nobody worse off. We show that is unique rule on domain surplus-sharing problems satisfies efficiency, monotonicity, path independence, and weak less first imposing an egalitarian bound for allowing positive payoffs particular players. provide additional axiomatization employing consistency, a classical invariance property with respect changes population. Finally, we set efficient solutions cooperative TU games support egalitarianism, i.e., distribute increments in worth grand coalition characterized by aggregate monotonicity bounded pairwise fairness requiring player can only gain if his initial payoff does not exceed any other amount be divided.