The constrained equal welfare rule, f CE, distributes the surplus according to the uniform
gains method and, hence, equalizes the welfare of the agents subsequent to the allocation
process, subject to making nobody worse off. We show that f CE is the unique rule on the
domain of surplus-sharing problems that satisfies efficiency, welfare monotonicity, path
independence, and weak less first imposing an egalitarian bound for allowing positive
payoffs to particular players. We provide an additional axiomatization employing�…