This paper provides a comparative analysis of some classical solutions to bankruptcy problems from an axiomatic viewpoint. These rules are the constrained equal-awards rule, the constrained equal-losses rule, the proportional rule and the Talmud rule. The purpose of this study is to facilitate...

This paper focuses on two new properties for bankruptcy rules: preeminence and sustainability. Theypertain to situations when the claims of some agents are much larger than the claims of otheragents. They differ in the way the recommend agents with small claims to be treated. Preeminencerequires...

This paper deals with the analysis of allocation problems with single peaked preferences, under the condition of agenda-independence (that is, when the allocation rule yields the same final outcome, no matter how the problem is subdivided into partial problems). Since the Uniform rule does not...

The problem of distributing a given amount of a divisible good among a set of agents which may have individual entitlements is considered here. A solution to this problem, called the Rights-Egalitarian Solution, is proposed and characterized. This allocation rule divides equally among the agents...

A diagonal image may be defined as a point in the image of agiven mapping, whose components are all equal. This paper investigates sufficient conditions for a set-valued mapping to have quasi-diagonal images(in an extended sense). More specifically, we shall show that anupper-hemicontinuous...

This paper provides a criterion to evaluate the overall performance of a given number of groups whose members can be of different types, out of the analysis of their relative frequencies. Assuming that types can be ordered from best to worse, the starting point is that of dominance relations in...

This paper provides a cardinal welfare measure for the allocation of a bundle of goods among a group of people. Social welfare is measured as the sum of n partial indices, one for each good, each of which consists of a function of the amount of the good availabe and its dispersion, measured by...

This paper analyzes a family of solutions to bankruptcy problems that generalizes the Talmud rule (T) and encompasses both the constrained equal-awards rule (A) and the constrained equal-losses rule (L). We study the structural properties of this family of rules and provide a characterization...

This paper introduces the notion of Market Equilibrium With Active Consumers (MEWAC), in order to characterize the efficiency of market outcomes in production economies. We show that, no matter the behaviour followed by the firms, a market equilibrium is efficient if it is a MEWAC. And also that...

This paper analyzes the existence of efficient equilibrium allocations in an economy with many convex and non-convex firms. A Social Equilibrium is defined as a price vector and an allocation satisfying the following properties: a) Consumers satisfy their preferences, subject to their budget...