We investigate the distributional properties of the uniform rule for the problem of allocating an infinitely divisible commodity among a group of is the only subsolution of the convex no-envy and Pareto solution. Next, we show that the uniform rule offers the greatest upper bound when there is...

The bankruptcy problem is concerned with how to divide the net worth of the bankrupt firm among its creditors. In this paper, we investigate the logical relations between various axioms in the context of bankruptcy. Those axioms are: population-and-resource monotonicity, consistency, converse...

We investigate the implications of converse consistency in the context of bargaining. A solution is conversely consistent if whenever for some problem, a feasible alternative has the property that for all proper subgroups of the agents it involves, the solution chooses the restriction of the...

A quasi-linear social choice problem is concerned with choosing one among a finite set of public projects and determining side payments among agents to cover the cost of the project, assuming each agent has quasi-linear preferences. We first investigate the logical relations between various...

We consider the class of binary social choice problems. A society must choose one of two public projects, money being available to perform side payments and each agent having quasi-linear preferences. Moulin [1987a] formulates the problem and characterizes the egalitarian solution on the basis...