This paper explores the relative progressivity of the main bankruptcy rules in taxation problems. A rule F is more progressive than a rule G when the after-tax income vector generated by F Lorenz dominates that generated by G. We focus our analysis on four classical rules (proportional,...

This paper deals with the measurement of efficiency differences among countries within a federation. The key tool is the use of a suitable interpretation of the non-substitution theorem in order to get a natural technological standard. Two alternative indices are proposed. One provides a...

It is shown in this paper how for any parametrically given rate of profits p, a price vector and an allocation exist such that: (a) Consumers maximize their preferences subject to their budget constraints; (b) Firms maximize profits; (c) Al1 active firms are equally profitable (with a rate of...

An economy with l commodities, m consumers and n firms is considered. Consumers are modelled in a standard way. It is assumed that the jth firm has a closed and comprehensive production set, Y with O E Y. The equilibrium of firms appears associated to the notion of a pricing rule (a mapping...

This paper extends the notion of valuation equilibrium which applies to market economies involving the choice of a public environment. Unlike some other recent work, it is assumed here that consumers and firms evaluate alternative environments taking market prices as given (hence this notion is...

This paper provides a new characterization of the Talmud rule by means of a new property, called securement. This property says that any agent holding a feasible claim will get at least one nht of her claim, where n is the number of agents involved. We show that securement together with a weak...

This paper analyzes the existence of equilibrium in a market economy with increasing returns to scale. Consumers and firms are modelled as payoff maximizers at given prices within their feasible sets. Firms are to be thought of as created by a set of consurners willing to operate some of the...

This paper considers market economies involving the choice of a public environment when there are nonconvexities in production. It discusses the decentralization of efficient allocations by means of valuation equilibrium, adapting to many private goods the notion due to Mas-Colell (1980) which...

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 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...