On economic efficiency under non-convexity

This paper investigates economic efficiency under non-convexity. The analysis relies on a generalization of the separating hyperplane theorem under non-convexity. The concept of zero-maximality is used to characterize Pareto efficiency under non-convexity. We show the existence of a separating hypersurface that can be used to provide a dual characterization of efficient allocations. When the separating hypersurface is non-linear, this implies that non-linear pricing is an integral part of economic efficiency. Implications for the decentralization of economic decisions under non-convexity are discussed.     

Economists,social reformers,and prophets: a feminist critique of economic efficiency

This article examines the concept of Pareto optimality, bringing to light some of its implicit assumptions about the nature of human agency, work, and gender. It explores the androcentric character of the economic agent and the gendered nature of neoclassical models in relation to the historical development of the concept of economic efficiency during the late 1930s. The thrust toward the development of Pareto optimality as a scientific criterion of economic welfare was a response to the methodological tensions between the clearly political nature of economics and the scientific aspirations of economists. An examination of the debates from this period illuminates some of the values that became embedded in neoclassical economics, and which are now hidden by the masks of mathematics and abstraction.     

Efficiency and nonlinear pricing in nonconvex environments with externalities: A generalization of the Lindahl equilibrium concept

It is a well-known fact that if damaging externalities occur, nonconvexities will necessarily arise in the underlying economic environment rendering questionable the relevance of standard market approaches to the allocation problem. In response to this state of affairs, we define and study a generalization of the Lindahl Equilibrium concept that allows for nonlinear pricing systems in which the marginal outlay may depend on the quantity purchased. This “Generalized Lindahl Equilibrium” attains local pareto efficiency for its associated allocations and is able to support (in the usual sense) any pareto efficient allocation that satisfies a regularity condition.     

Dynamics of economic efficiency in tariff and trade

When the efficiency losses or gains as a result of an ad valorem import tariff are accounted for, the exisiting literature compares the equilibrium states before and after the tariff. However, after the imposition of an ad valorem tariff, the cost of the foreign producer to sell in the domestic market jumps upwards by the extent of the ad valorem tariff. This affects the quantity of imports, and the market is no longer in the initial equilibrium. The market then adjusts and after some efficiency loss, a new equilibrium state is arrived at. The mechanism of price adjustment has a basis of lack of coordination among buyers and sellers at the exisiting prices. The economic efficiency loss when the market is out of equilibrium is not taken into consideration in the literature, while deriving an optimal ad valorem tariff rate. In this article, an optimal ad valorem tariff schedule has been derived. From optimality, it should be construed that the economic efficiency losses get minimised when the market is adjusting and also during the equilibrium. A revenue constraint has to be met in addition.     

A coalition proof equilibrium for a private information credit economy

Summary This paper examines an economy in which agents with private information about their own productive capabilities seek to raise capital to fund their investment projects. We employ an equilibrium concept which is closely related to Coalition Proof Nash Equilibrium. In equilibrium, all agents who succeed in raising capital (entrepreneurs) are pooled; they all receive the same contract or consumption schedule. Entrepreneurs, however, are separated from those who fail to raise capital. This separation results in productive efficiency for the economy. If the economy has no viable alternative investment opportunity (other than agents' projects) then equilibrium allocations can be supported by a (non-intermediated) securities market. If there is a viable alternative, the equilibrium allocations cannot be supported by a securities market equilibrium. We interpret this case as suggesting the emergence of financial intermedary coalitions.     

Two-sided altruism, Lindahl equilibrium, and Pareto optimality in overlapping generations models

Summary. This paper extends the Samuelsonian overlapping generations general equilibrium framework to encompass a variety of altruistic preferences by recasting it into a Lindahl equilibrium framework. The First and the Second Welfare theorems hold for Lindahl equilibrium with respect to the Malinvaud optimality criterion but not with respect to the Pareto optimality criterion. A complete characterization of Pareto optimal allocations is provided using the Lindahl equilibrium prices.Received: 2 October 2003, Revised: 13 September 2004, JEL Classification Numbers: D51, D62, D64, C62.An earlier draft of the paper was prepared for presentation at the Sixth World Congress of the Econometric Society, 1990, Barcelona, Spain. Much of this work was done when I was at Yale University and University of California-San Diego. I am grateful to an anonymous referee of this journal and to Don Brown, Vince Crawford and Joel Sobel for many insightful comments and encouragements on an earlier draft of the paper.     

Voluntariness and efficiency in the provision of public goods

This paper presents a characterization of Lindahl allocations which makes no reference to personalized prices. Lindahl equilibria are characterized here by two conditions: Pareto efficiency and a voluntariness condition. Voluntariness requires that no consumer may benefit from a reduction in his contribution if this means that the vector of public goods must be reduced in the same proportion. The intersection of the (large) set of voluntary allocations and that of efficient ones turns out to be (under differentiability) the set of Lindahl allocations.     

Efficient propagation of shocks and the optimal return on money

We study optimal allocations in an environment in which money is essential due to lack of commitment and anonymity of individuals. Because the economy features aggregate preference shocks, we apply a notion of implementability that allows for allocations with non-trivial business-cycle dynamics for the propagation of shocks. We show that history dependence is predicted by the theory of second best and becomes necessary for optimality when the degree of patience is neither too low nor too high. Our analysis concludes with a discussion of whether there is a role for the propagation of shocks in alternative economic environments.     

Comparing Environmental Policy Instruments Within an Incomplete Contract Framework

This paper compares three different legal means—no environmental policy (the pollutee pays), full liability (the polluter pays), and pollution standards—to reduce and regulate neighborhood externalities within an incomplete contract framework. It turns out that the relative efficiency of these instruments depends, in general, on details. However, moderate standards are preferable to no environmental policy and tight (but not too tight) standards dominate liability. This provides under the given assumptions (neighborhood externalities, incomplete contracts) a justification for “sensible” standards for three reasons. First, unilateral allocations of property rights are biased that distort allocations even if ex post bargaining takes place. Second, a standard is superior in the following sense: if it is set equal to the outcome under any allocation of rights, it will be improved in the process of ex post bargaining. Third, unilateral property rights encourage strategic ex ante investments up to the point that committing to no bargaining would be beneficial (if possible).     

Games of Fair Division

We consider the problem of fairly allocating an indivisible good to one of several agents equally entitled to it when monetary compensations to the others are possible. Our primary normative concept is no-envy. First, we show that there is no non-manipulable selection from the no-envy solution. Then we study the direct revelation games associated with subsolutions of the no-envy solution. The set of equilibrium allocations of any one of them coincides with the set of envy-free allocations for the true preferences. Journal of Economic Literature Classification Numbers: C72, D63, D7l, D82.     

Two criteria for social decisions

This paper studies the ethical underpinnings of two social criteria which are prominent in the literature dealing with the problem of evaluating allocations of several consumption goods in a population with heterogenous preferences. The Pazner-Schmeidler criterion [Pazner-Schmeidler, Egalitarian equivalent allocations: a new concept of economic equity, Quart. J. Econ. 92 (1978) 671-687] and the Egalitarian Walras criterion [Fleurbaey and Maniquet, Utilitarianism versus fairness in welfare economics, in: M. Salles, J.A. Weymark (Eds.), Justice, Political Liberalism and Utilitarianism: Themes from Harsanyi and Rawls, Cambridge University Press, Cambridge, 1996, forthcoming] are prima facie quite different. But it is shown here that these criteria are related to close variants of the fairness condition that an allocation is better when every individual bundle in it dominates the average consumption in another allocation. In addition, the results suggest that the Pazner-Schmeidler criterion can be viewed as the best extension of the Walrasian criterion to non-convex economies.     

On Nash-Implementation in the Presence of Withholding

In this paper we construct a completely feasible and continuous mechanism whose Nash allocations coincide with Lindahl allocations when both preferences and initial endowments are unknown to the designer and unreported endowments are withheld. This mechanism extends the mechanism of Hong by allowing for semi-positivity of endowments for private goods economies and the mechanism of Tian by allowing for any number of private goods for public goods economies. Thus our mechanism improves all the existing mechanisms that implement Walrasian or Lindahl allocations. Journal of Economic Literature Classification Numbers: C72, D6l, D78, H41.     

Millian Efficiency with Endogenous Fertility

Should governments implement policies that affect fertility decisions on efficiency grounds? What is the correct notion of efficiency to use? To address these issues, this paper develops an extension of the notion of Pareto efficiency, referred to as Millian efficiency , to evaluate symmetric allocations in an overlapping generations setting with endogenous fertility. This extension is based on preferences of those agents who are actually alive, and exclusively allows for welfare comparisons of symmetric allocations. First, we provide necessary and sufficient conditions to determine whether an allocation is Millian efficient or not, and we show that the sufficient conditions for dynamic efficiency offered by Cass (1972) and Balasko and Shell (1980) cannot be directly applied when fertility decisions are endogenous. Second, we characterize Millian efficient allocations as the equilibria of a decentralized price mechanism, and we present a sufficient condition for dynamic efficiency that uses the sequence of prices associated to such decentralized equilibria. Finally, we analyse how intergenerational policies should be designed to restore efficiency and achieve net welfare gains in two different settings in which markets yield inefficient allocations: dynamic inefficiencies and financial market incompleteness regarding human capital. In the former, a pay-as-you-go social security system eliminates dynamic inefficiencies, provided pensions are explicitly linked with fertility decisions. In the latter, a specific link between social security and public education becomes a necessary condition for Millian efficiency.     

Toward a Horizonal Theory of Justice: Efficiency,Equity, Rights and Capabilities in a Free Market Economy

The theory of planning horizons and their relation to pricing, conscience and learning has been explored in some detail in terms of efficiency attributes and ecological health (Jennings 2003, Journal of Economic Issues 39:365-373, 2005, 2007a, b, 2008a). This paper addresses the equity implications of planning horizons in terms of the social role and importance of justice, rights and capabilities in a free market economy. From my earlier work, cooperation—not competition—is seen as the means to longer and broader horizons in an efficiency frame, mitigating any alleged tradeoff against equity issues. The impact of longer horizons on fairness and justice in terms of intentions and outcomes along with rights and capabilities still remains unexplored. This paper reviews the normative aspects of planning horizons, showing how ethical and ecological conscience spreads with horizon effects, strengthening goals of fairness and the internalization of social effects. In this setting, capabilities and empowerment are enhanced by respect for human rights, as social conscience spreads through interhorizonal complementarities. The features of a long-horizon world differ from myopic contexts, specifically in the relation of efficiency to other goals. This paper examines that difference in terms of its equity aspects, with regard to social justice and the role of rights and capabilities in economic cultures.     

A reformulation of the foundations of welfare economics

Neoclassical welfare economics takes an outcome-oriented approach that uses Pareto optimality as its benchmark for welfare maximization. When one looks at the remarkable improvements in economic welfare that have characterized market economies, most of those improvements in welfare have been due to economic progress that has introduced new and improved goods and services into the economy, and innovations in production methods that have brought costs down, leading to higher real incomes. Pareto optimality is only peripherally related to actual economic welfare, and no economist would argue that people are materially better off today than a century ago because the economy is closer to Pareto optimality. After analyzing the actual factors that lead to improvements in welfare, this paper suggests a reformulation of the foundations of welfare economics to replace the almost irrelevant outcome-oriented concept of Pareto optimality as the benchmark for evaluating welfare with a process-oriented benchmark based on factors that generate economic progress. The paper then explores some implications of this reformulation.

Optimal redistributive capital taxation in a neoclassical growth model

This paper provides a counterexample to the simplest version of the redistribution models considered by Judd (1985) in which the government chooses an optimal distortionary tax on capitalists to finance a lump-sum payment to workers. I show that the steady-state optimal tax on capital income is generally non-zero when the capitalists’ utility is logarithmic and the government faces a balanced-budget constraint. With log utility, agents’ optimal decisions depend solely on the current rate of return, not any future rates of return or tax rates. This feature of the economy effectively deprives the government of a useful policy instrument because promises about future tax rates can no longer influence current allocations. When combined with a lack of other suitable policy instruments (such as government bonds), the result is an inability to decentralize the allocations that are consistent with a zero-limiting capital tax. I show that the standard approach to solving the dynamic optimal tax problem yields the wrong answer in this (knife-edge) case because it fails to properly enforce the constraints associated with the competitive equilibrium. Specifically, the standard approach lets in an additional policy instrument through the back door.     

Aid allocation rules

This paper studies an aid allocation rule used by major development agencies, and investigates optimal allocations when recipients are neoclassical economies undergoing transition dynamics. When recipients face aid absorption constraints, allocations that favor poorer recipients are not always optimal, contrary to what is assumed in assessments of donor performance. The most quantitatively significant factors that determine the optimal sensitivity to recipient characteristics are the generosity of the aid budget and the extent of absorption constraints. In neoclassical recipients, aid can only accelerate growth where there is already growth, so the optimal rule places little weight on growth and optimality is largely a matter of balancing recipient need against absorption constraints.     

Walrasian analysis via two-player games

We associate to any pure exchange economy a game with only two players, regardless of the number of consumers. In this two-player game, each player represents a different role of the society, formed by all the individuals in the economy. Player 1 selects feasible allocations trying to make Pareto improvements. Player 2 chooses an alternative from the wider range of allocations that are feasible in the sense of Aubin. The set of Nash equilibria of our game is non-empty and our main result provides a characterization of Walrasian equilibria allocations as strong Nash equilibria of the associated society game.     

Gaming-simulation of the functioning of economic systems

This article attempts to provide a structure-functional analysis of economic activity and propositions based on this analysis about applications of gaming-simulation for an institutionalist study of the functioning of economic systems. Modern institutionalism in contrast to neoclassical economics, which is to a great extent mathematicized, does not actually use any quantitative methods and models. Simulation games represent such models that can be designed and promote the implementation of research in the spirit of neoinstitutional economics. In this sense, gaming-simulation may be considered as institutional modeling. In this work we shall, first be concerned with a ‘static’ structure of economic activity deriving from the three-level scheme by Parsons. Next, a ‘dynamic’ structure of economic activity will be analyzed in terms of the concept of limited rationality by Simon. In the final section, we characterize the methods of reflection of different components of economic systems in gaming simulation models, as well as ways of implementing the research on such models.     

Coalitional fairness in interim differential information economies

In this paper we propose a concept of coalitional fair allocation in order to solve the tension that may exist between efficiency and envy-freeness when agents are asymmetrically informed and the equity of allocations is evaluated at the interim stage.