the competitive effects of vertical agreements for many years there were few distinctions drawn between horizontal and vertical agreements both were considered anticompetitive and subject to per se condemnation under the antitrust laws recently however this approach has come under attack and what was once the conventional wisdom is no longer so indeed there is growing acceptance of the view that vertical agreements can rarely have anticompetitive consequences per se legality would then be the appropriate standard in this paper we investigate the competitive implications of a particular vertical agreement the imposition of exclusive dealing requirements by a manufacturer on his distributors however to maintain the focus of the analysis we do not consider ultimate welfare gains or losses in an early application of economic analysis to this practice aaron director and edward levi 1956 suggest that exclusive dealing would be anticompetitive if it raised entry costs for rivals our object following this conjecture see their p 293 is to examine the market conditions under which exclusive dealing impedes entry howard marvel 1982 dealt with the practice of exclusive dealing he provides an efficiency rationale for exclusive dealing ignores the prospect that anticompetitive effects may follow and concludes that exclusive dealing ought therefore to be treated as legal per se p 25 this paper examines the possible anticompetitive effects neglected by marvel i market conditions for exclusive dealing

international comparisons of welfare and poverty dominance orderings for ten countries inference based stochastic dominance procedures are applied to luxembourg income study data to rank ten western countries in terms of standards of living and poverty first order dominance comparisons ranks more than 50 percent of all pairwise comparisons and second order generalized lorenz dominance adds another 25 percent truncated dominance analysis is used to make inferences about poverty and up to 98 percent of the truncated distributions are ordered the results differ substantially from those obtained when only relative incomes and inequality are considered

derivative pricing using multivariate affine generalized hyperbolic distributions abstract in this paper we use multivariate affine generalized hyperbolic magh distributions introduced by schmidt et al 2006 to show how to price multidimensional derivatives when the underlying asset follows a magh distribution we also illustrate the approach using market data from the bovespa sao paulo stock exchange and the exchange rate of the brazilian real vs us dollar to price some multidimensional derivatives

when different market concentration indices agree abstract the herfindahl hirschman entropy and n firm indices may not agree when comparing market concentrations for different oligopoly markets the majorization pre ordering is shown to be both necessary and sufficient for all to agree

the impossibility of a progressive tax structure abstract when households are identical in all respects other than income a non decreasing average tax rate is both necessary and sufficient for post tax incomes to be always at least as equal as pre tax incomes this paper investigates whether this well known result can be extended to households with different needs a tax structure which never increases inequality in the lorenz sense is shown to be unable to discriminate between household types if in addition the tax structure never reduces the relative income of the poorest member of the neediest group of households then the same proportional tax must be applied to all households and redistribution is impossible either within or between groups of households with differing needs a similar conclusion is reached using conventional equivalence scale arguments and also applies when the parameters of the tax schedules are determined endogenously we discuss the significance of this impossibility result and its implications for tax design

rank dominance and international comparisons of income distributions abstract the rank dominance criterion for comparing income distributions assumes the pareto principle anonymity and population size invariance this paper applies rank dominance to compare international income distributions empirically rank dominance is a powerful tool for ordering income distributions our results suggest that much of the power of generalized lorenz dominance is due to efficiency preference and equity preference adds only marginally to the ability to order income distributions

the impact of food stamps on us poverty in the 1980s a marginal dominance analysis the relative effectiveness of the us food stamp program in reducing the incidence and depth of poverty is compared at a number of poverty lines across time the analysis is based upon an extension of dominance methods for ordering poverty recently developed statistical inference procedures and a merged data set that permnits an unusually comprehensive measure of income the comparative effectiveness of the food stamp program in reducing headcount poverty over time is contingent on the poverty line selected however the reduction in poverty gaps is greater in 1990 than in 1982 regardless of the poverty line chosen the sensitivity of the results to the income concept equivalence scale and time period used for measuring income are also considered

the competitive effects of vertical agreements comment in a recent paper comanor and frech 1985 cf claim that a manufacturer enjoying a product differentiation advantage could impose exclusive dealing on distributors while also raising its wholesale price the two consumer groups in the model would then pay higher prices than under nonexclusive dealing cf also suggest that exclusive dealing is more likely to emerge when product differentiation is relatively strong cf s analysis does not carefully incorporate the constraints imposed by dealer rationality doing so within cf s model i reach opposite conclusions exclusive dealing will be accepted only if the manufacturer reduces its wholesale price to dealers relative to nonexclusive dealing price rises to one group of consumers but falls to the other moreover exclusive dealing is more likely to emerge when product differentiation is relatively weak

the measurement of inequality and poverty a policy maker s guide to the literature abstract mathematical measures of poverty and inequality embody values that reflect the historical political social intellectual and ethical forces prevalent at the time of their formulation so that policy makers may select measures of poverty and inequality that are consistent with their values it is important to make explicit the value judgements implicit in the measures models designed to measure poverty and inequality fall into four categories absolute poverty measures absolute income measures relative poverty measures and relative inequality measures this article examines the principal models within each category and discusses the assumptions limitations and values implicit in the models

testing for marginal changes in income distributions with lorenz and concentration curves asymptotically distribution free statistical tests for comparing absolute and relative lorenz and concentration curves are provided the procedures do not require independent samples and can be used to test for marginal changes in income distributions the tests are illustrated using a large sample of tax returns that have been randomly selected for audit by the internal revenue service the tests reveal the marginal effects of systematic underreporting of income and tax liabilities on the u s income distribution copyright 1994 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

ranking income distributions a large variety of policy questions involve choices between social states and a consequent ordering of the feasible alternatives when these social states are related to the levels of welfare experienced by individuals or households two central issues stand out in determining the relative desirability of different social outcomes one of these is the essentially positive exercise of achieving comparability between households with different characteristics such as composition or preferences operating in different environments for example facing different price structures the other concerns the normative judgments implicit in the evaluation of alternative allocations of resourcesthe emphasis placed on inequality between households and the extent to which greater inequality can be compensated by higher average living standards this paper focuses on the second of these issues and in doing so we abstract from the problem of household comparability by considering a population of n households identical in all respects except for their incomes the question of ordering social states then becomes one of ranking income distributions over a group of anonymous households or individuals borrowing the usual assumptions imposed on consumer preferences we may suppose that a social ordering of income distributions can be represented by a welfare function 2

ethically robust comparisons of bidimensional distributions with an ordinal attribute abstract we provide foundations for robust normative evaluation of distributions of two attributes one of which is cardinally measurable and transferable between individuals and the other is ordinal and non transferable the result that we establish takes the form of an analogue to the standard hardy littlewood polya theorem for distributions of one cardinal attribute more specifically we identify the transformations of the distributions which guarantee that social welfare increases according to utilitarian unanimity provided that the utility function is concave in the cardinal attribute and that its marginal utility with respect to the same attribute is non increasing in the ordinal attribute we establish that this unanimity ranking of the distributions is equivalent to the ordered poverty gap quasi ordering introduced by bourguignon 12 finally we show that if one distribution dominates another according to the ordered poverty gap criterion then the former can be derived from the latter by means of an appropriate and finite sequence of such transformations

the design of direct taxation and family benefits abstract the subject of this paper is the design of the personal income tax and social security benefits that vary with the size of the family it is concerned with the analytical problems of policy design that arise from constraints on the instruments which may be used from differences in social judgements about the desirability of redistribution and from differences of view about the disincentive effects of taxation the paper considers these issues in the context of the french tax benefit system and the implications of the french system being harmonised towards certain features of the british system

information sharing in union firm relationships large firms often negotiate wage rates with labor unions when they do an ex ante agreement to share information should make it more likely that they will reach an agreement and capture the gains from trade however if the firm refuses to share information the union may shade down its wage demand to increase the probability of acceptance this reduction in the wage can increase the joint surplus of the agents and increase social welfare as a result there are some circumstances in which bargaining with incomplete information can be better for the agents and society than bargaining with complete information many firms and their input suppliers form long term relationships in which they periodically negotiate their terms of trade as has long been recognized the presence of private information can cause negotiations to break down on occasion resulting in an inefficient disruption of production for example the united auto workers with superior knowledge of its strike fund and or its member s outside options may call for a strike against general motors if the firm is unwilling to meet its wage demands and the firm s unwillingness to concede may be due to its superior knowledge of demand productivity and or its stock of inventories theoretically such disruptions could be avoided if the agents would simply agree to reveal their private information before the negotiations begin 2 whether or not this will occur is unclear however since some agents may be unwilling to enter into such an agreement if it sufficiently weakened their bargaining position the literatures on noncooperative bargaining and mechanism design have already dealt with many of the issues that arise in this environment in the bargaining literature it is generally assumed that the agents already possess the private information and then the implications of different bargaining processes are examined see ausubel et al 2002 for a survey in the mechanism design literature one of the questions addressed is whether the agents can find a way to commit to ex

the absence of deprivation as a measure of social well being an empirical investigation abstract the generalised lorenz criterion is widely used for making welfare comparisons within and across countries on the basis of their income distributions experimental studies have challenged this way of proceeding by showing that the principle of transfers which underlies the generalised lorenz criterion does not meet with widespread agreement among the public that theorists would have expected we propose to substitute the non deprivation quasi ordering introduced by chakravarty 1997 for the generalised lorenz criterion this criterion is less demanding than the generalised lorenz criterion as it builds on a weaker version of the principle of transfers and it is therefore more likely to be accepted by the public we use income data from the luxembourg income study for 17 countries in order to contrast the generalised lorenz and the non deprivation criteria although the non deprivation quasi ordering is less decisive than the generalised lorenz criterion it is shown that the former approximates the latter surprisingly well

testing the significance of income distribution changes over the 1980s business cycle a cross national comparison using kernel density estimation we describe the distribution of household size adjusted real income and how it changed over the business cycle of the 1980s in the united states and the united kingdom we confirm previous studies that show income inequality increased in the two countries and the middle of the distribution was squashed down using a series of statistical tests however we find that while the mass in both tails of the distribution increased significantly in both countries over the period by far the greatest gains were in the upper tail copyright 1999 john wiley sons ltd

dollars and dreams a reduced middle class alternative explanations we decompose annual earnings into hours of work and hourly earnings and analyze male female differences in earnings inequality using canadian data our results indicate that the larger female inequality in earnings is due to a greater inequality in the

on the rank generalized lorenz and overtaking criteria for evaluating stochastic income regimes this essay is concerned with the evaluation of income regimes that is a set of income classes and the stochastic process which governs the individual s position among the income classes we follow champernowne 4 theil 21 shorrocks 18 19 bartholomew 2 geweke marshall and zarkin 9 and conlisk 5 in characterizing mobility as a markov chain here states of a markov chain correspond to positions in the income classes utilizing the ergodic theorem for markov chains and propositions from the theory of decisionmaking under uncertainty we derive necessary and sufficient conditions on the income classes for one such income regime to be preferred to another in terms of the overtaking criterion specifically we show that the rank dominance condition saposnik 17 is necessary and sufficient for there to be a critical time at which overtaking occurs for each agent this time depends on the agent s von neumann morgenstern utility function which is merely required to be monotone increasing in income moreover versions of the generalized lorenz criterion shorrocks 20 provide necessary and sufficient conditions for there to be a time at which uniform overtaking occurs this time being the same for all agents provided the agents are risk averse among the applications of this model to individual choice one may consider a new college graduate deciding among employment opportunities in addition to starting salaries an applicant should consider the firms entire salary schedules as well as prospects for promotion within each firm alternatively one may consider a musician who must choose between a back section position with a leading orchestra or a more prominent position with a less highly regarded orchestra again one may be wise to consider the entire compensation schedule as well as the prospects for

aversion to health inequalities in healthcare prioritisation a multicriteria optimisation perspective abstract in this paper we discuss the prioritisation of healthcare projects where there is a concern about health inequalities but the decision maker is reluctant to make explicit quantitative value judgements and the data systems only allow the measurement of health at an aggregate level our analysis begins with a standard welfare economic model of healthcare resource allocation we show how under the assumption that the healthcare projects under consideration have a small impact on individual health the problem can be reformulated as one of finding a particular subset of the class of efficient solutions to an implied multicriteria optimisation problem algorithms for finding such solutions are readily available and we demonstrate our approach through a worked example of treatment for clinical depression

relative undernutrition in puerto rico under alternative food assistance programmes in the early 1980s puerto rico experienced a conversion from the food stamp program fsp to the nutrition assistance program nap and a severe recession to compare relative undernutrition in puerto rico in 1977 and 1984 stochastic dominance methods and statistical inference procedures are applied to nutrient distributions to separate the effect of the recession from the effect of converting food coupons to cash benefits a multiple regression model of nutrient consumption is also estimated in the dominance comparisons every improvement in nutrition status between 1977 and 1984 is statistically significant at the lowest quintile while no case of worsening undernutrition is significant at the lowest quintile the multiple regression model provides some evidence that the conversion from food coupons to cash might have reduced nutrition status in the lowest quintile but a larger proportion of food assistance was allocated to low income households under the nap than under the fsp no evidence of signi

multidimensional welfare distributions empirical application to household panel data from vietnam this article explores the empirical application of theoretical multidimensional welfare distribution analysis techniques to real household welfare distributions the article operationalizes recent conceptual developments in multidimensional distribution theory and assesses their usefulness for the measurement of multidimensional household inequality the results strongly highlight the importance of bringing nonmonetary aspects of household welfare into the forefront of inequality analysis agreement over the various approaches to the measurement of multidimensional inequality entails however nontrivial decisions that may limit the practical usefulness of these measures we suggest that the use of multidimensional inequality ranges and the application of restrictive dominance criteria to multidimensional welfare distributions may open significant scope for further developments in the empirical analysis of multidimensional inequality

lorenz dominance and welfare changes in the u s distribution of income 1967 1986 this paper examines income inequality in the untied states over the period 1967 86 using recently developed tests for differences in lorenz curves the authors are able to rank eighteen of nineteen annual comparisons in contrast standard techniques are able to rank only twelve these results suggest that the lorenz dominance principle is more empirically relevant than previously thought the tests reveal a sharp rise in u s inequality between 1978 and 1982 as well as a shift toward greater inequality over the entire period the authors also examine changes in economic welfare using the joint mean lorenz dominance principle copyright 1991 by mit press

statistical inference for the measurement of the incidence of taxes and transfers we establish the asymptotic sampling distribution of general functions of quantile based estimators computed from samples that are not necessarily independent the results provide the statistical framework within which to assess the progressivity of taxes and benefits their horizontal inequity and the change in the inequality of income which they cause by the same token these findings characterise the sampling distribution of a number of popular indices of progressivity horizontal inequity and redistribution they can also be used to assess welfare and inequality changes using panel data and to assess poverty when it depends on estimated population quantiles we illustrate these results using micro data on the incidence of taxes and benefits in canada

sharing the cost of a public good an incentive constrained axiomatic approach we study the problem of provision and cost sharing of a public good in large economies where exclusion complete or partial is possible we search for incentive constrained efficient allocation rules that display fairness properties population monotonicity says that an increase in population should not be detrimental to anyone demand monotonicity states that an increase in the demand for the public good in the sense of a first order stochastic dominance shift in the distribution of preferences should not be detrimental to any agent whose preferences remain unchanged under suitable domain restrictions we give an explicit characterization of all incentive constrained efficient allocation rules we then show that there exists a unique incentive constrained efficient and demand monotonic allocation rule the so called serial rule in the binary public good case the serial rule is also the only incentive constrained efficient and population monotonic rule

calculation and decomposition of income inequality in low and middle income countries a survey data analysis this article estimates income inequality in a sample of four low and middle income lmi countries namely albania nepal tajikistan and tanzania using the household survey data nepal living st

nutrition and nonparticipation in the us food stamp programme microdata from the national food consumption survey are used to test for differences in caloric and protein intake distributions we compare poor households that participate in the us food stamp programme to eligible households that do not participate tests for stochastic dominance provide unambiguous evidence that eligible nonparticipants suffer from relative undernutrition compared to participating households probit analysis is used to identify characteristics of participating and nonparticipating households

income distribution in the dynamic two factor trade model the issue of the effects of trade on personal income distribution has remained largely unexamined this paper describes an overlapping generations 2 x 2 model with a bequest motive and heterogeneous agents in order to examine the problem in this dynamic setting trade leads to both short run and long run reductions increases in inequality in labor capital abundant countries if the investment good is capital intensive if the consumption good is capital intensive the short run effects continue to hold but the long run effects are ambiguous copyright 1992 by the london school of economics and political science

discount chains and brand policy retail chains are observed in many industries the question addressed here is whether retail chains can exploit buyer power by excluding some brands in a theoretical model with two differentiated producers and a single retailer we show that a retailer will require exclusivity exclude a brand if the brands are sufficiently symmetric in demand potential exclusivity will increase welfare if the excluded brand is a close substitute for the brand carried by the retailer our theoretical results are also set in relation to some findings from the norwegian grocery industry jel classification l12 l42

household inequality social welfare and trade abstract working with sen social welfare functions meaning explicit separability between mean income and income dispersion we develop a generalized dual approach to tracking household inequality aspects of social welfare in general equilibrium we highlight how household equity can be examined analytically alongside production efficiency in duality based models using our dual framework to explore potential trade offs between efficiency and equity effects of trade policy our results complement the set of standard inequality results in trade theory focused on functional rather than household inequality we also find that the relative distributional impact of tariffs on welfare is conditional on the initial level of inequality

equilibrium incentives for exclusive dealing in a differentiated products oligopoly we consider the incentives for oligopolistic manufacturers to adopt exclusive dealing manufacturers producing differentiated brands can choose to distribute through exclusive retail dealerships or nonexclusive dealerships with nonexclusive dealing manufacturers face an interbrand externality because brand enhancing investments made by one manufacturer may benefit the brands of other manufacturers although exclusive dealing eliminates this externality oligopolistic manufacturers may not choose exclusive dealing exclusive dealing enhances the incentive to invest but the promotional investments are a form of competition between manufacturers thus manufacturers might earn higher profits with nonexclusive dealing making lower promotional investments we find cases in which nonexclusive dealing is a dominant strategy we also find cases in which some but not all manufacturers adopt exclusive dealing moreover even if adoption of exclusive dealing by all manufacturers is the equilibrium it can arise from a prisoner s dilemma in that each manufacturer would prefer nonexclusive dealing

marginal conditional stochastic dominance this paper introduces the concept of marginal conditional stochastic dominance mcsd which states the conditions under which all risk averse individuals when presented with a given portfolio prefer to increase the share of one risky asset over that of another mcsd rules also answer the question of whether all risk averse individuals include a new asset in their portfolio when assets returns are correlated mcsd criteria are expressed in terms of the probability distributions of the assets and of the underlying portfolio an empirical application of mcsd is provided using stocks traded on the new york stock exchange mcsd rules are used to show that in the long run one cannot assert that the market portfolio is inefficient

nontaxable income and necessary consumption the rousseau s paradox of fiscal egalitarianism this article compares a tax method featuring flat rates and fixed allowances equal for all taxpayers surplus income tax method sitm procedure with a tax method featuring also flat rates and increasing personal allowances ipas to meet the amounts of necessary consumption required by the different living standards discretionary income tax method ditm procedure our results show that the ditm procedure generates an after tax income distribution less unequal and superior in terms of social welfare moreover the assumption for comparison purposes of identical total tax revenues leads to the corollary that the flat tax rate under the ditm is necessarily larger than the one under the sitm being thus the former taxmethod is more progressive than the latter these results imply an obvious paradox considering the commonly accepted principle that basic necessities are the same for everyone rousseau 1755 based on the results obtained in this article we have labelled this paradox as the rousseau s

some classes of functions that preserve the inequality and welfare orderings of income distributions abstract we identify in the paper those classes of functions that preserve the ranking of distributions according to three welfare criteria introduced recently by a f shorrocks economica 50 1983 3 17 we prove that a necessary and sufficient condition for a function to preserve the generalized lorenz ordering of distributions is that it be increasing and concave requiring welfare improvements to be compatible with more equality we obtain linear resp affine functions when emphasis is placed on relative resp absolute income differentials