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...

The purpose of this paper is to offer an exposition of the results on the existence and optimality of equilibria when production sets are not assumed to be convex, in a general equilibrium framework. We aim at providing a formal and systematic account of the main results available, rather than...

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...

The purpose of this paper is to offer a characterization of a welfare index which depends positively on total income and negatively on Theil's first inequality measure. This welfare index belongs to a family of indicators which try to link measures of income and measures of welfare (real-income...