advantageous reallocations a constructive example this note shows how to construct smooth examples of a phenomenon noted by gale in which a pair of agents make themselves better off at the expense of a third agent by reallocating their own endowments walrasian stability prevails

labour demand and job to job movement the relationship between labour demand and job to job movement is investigated both theoretically and empirically at the macro level it concentrates on the role of the employment regime hiring do nothing or firing and the hiring and firing costs the exact upper bounds of the marginal hiring costs of an employed worker are derived for which job mobility between two firms yields a positive aggregate relationship between job to job movement and employment the relationship is estimated as a cointegration model for the netherlands it appears that the inclusion of the job to job mobility rate may provide a substantial improvement of the estimated labour demand equation

foreign ownership and the theory of trade and welfare some standard topics in the theory of international trade are reconsidered in this paper by distinguishing between national and aggregate income when fixed supplies of foreign inputs are present within the home country under conditions that would ensure a national welfare gain if foreign ownership were absent international transfer economic growth or tariff policy might cause a national welfare loss in the presence of foreign ownership the techniques developed could be applied to other domestic distinctions such as those based on race sex age or ethnicity and to the theory of customs unions in a three country world

intertemporal equilibrium and the transfer paradox the transfer paradox may occur in a world with only two countries at a dynamically stable intertemporal competitive equilibrium in a framework of overlapping generations with production and investment a transfer of income may immiserize the recipient while enriching the donor away from the golden rule a transfer may result in a pareto improvement

motivations for aid to developing countries abstract this paper attempts to identify the underlying principles of aid allocation and particularly the balance of motivations as between the needs of recipient countries and the interests of donor countries two alternative models are fitted by cross country regressions to bilateral and multilateral aid flows to some 80 developing countries in 1969 1970 and 1978 1980 the first recipient need model assumes that all aid is given to compensate for shortfalls in domestic resources this model provides a reasonable explanation for the distribution of multilateral aid but it is clearly not applicable for bilateral aid flows the second donor interest model assumes that all aid serves only donor interests defined to cover political security investment and trade interests this model gives generally good explanations of bilateral aid but is a poor fit for multilateral aid the relative importance of the various donor interests differs sharply among donors the paper ends with an analysis of the shift in the balance of aid over the 1970s towards the recipient need element and with a reference to the sharp change in policy in the 1980s towards increasing emphasis on donor interest aid

the generalized theory of transfers and welfare bilateral transfers in a multilateral world paul samuelson s 1952 1954 classic papers on the transfer problem addressed two separate analytical issues the positive effect of a transfer on the terms of trade and the welfare effect of the transfer on the donor and the recipient since then a considerable body of literature has grown up on the positive analysis while samuelson 1954 himself had extended the 2 x 2 x 2 free trade analysis to allow for tariffs and transport costs subsequent writers have analyzed other extensions of the model for example to allow for nontraded goods as with leisure in samuelson 1971 or general nontraded goods in john chipman 1974 and ronald jones 1970 1975 remarkably however the welfare analysis of transfers has not paralleled these developments since wassily leontief 1936 produced an example of immiserizing transfer from abroad and samuelson 1947 argued that the example required market instability the proposition that has monopolized attention has been that a transfer in the conventional 2 x 2 x 2 model in its free trade version cannot immiserize the recipient or enrich the donor as long as world markets are stable in the walras sense interestingly samuelson 1954 who did extend the positive analysis to include tariffs did not go on to ask whether immiserization of the transfer recipient and hence symmetrically enrichment of the donor in a two country model could now arise consistent with market stability recently the welfare analysis of transfers has been extended in two different directions both apparently unconnected and both yielding the conclusion that transfers from abroad can be immiserizing and that the donor may improve its welfare despite market stability one route to this conclusion has been the introduction of a third economic agent or country that is outside of the transfer process in the appendix of his 1960 paper analyzing the interaction between trade policy and income distribution harry johnson discussed the possibility of welfareparadoxical redistribution between two factor income classes capital and labor in an open economy thereby providing what can be interpreted as a treatment of the threeagent transfer problem for the case in which donor and recipient are both completely specialized in the ownership of a single different factor an independent analysis of the three agent transfer problem using a restrictive model with given endowments of goods and fixed coefficients in consumption was also undertaken in an important paper by david gale 1974 2 brecher and bhagwati bhagwati department of economics columbia university new york ny 10027 brecher department of economics carleton university ottawa on kis 5b6 hatta department of political economy the johns hopkins university baltimore md 21218 we thank the national science foundation grant no 524718 for partial financial support of the research underlying this paper the paper was written when brecher and hatta were visiting columbia university 1981 82 gratefully acknowledged are helpful comments and suggestions from john chipman avinash dixit jacques dreze robert feenstra jacob frenkel ronald jones murray kemp andreu mas colell michael mussa john riley lars svensson and robert willig from anonymous referees and from seminar participants at berkeley harvard minnesota rochester chicago and the university of california los angeles after the present paper was submitted for publication and following its presentation at rochester our attention was drawn to this appendix which was noticed by a student of ronald jones subsequently we learned from makoto yano that motoshige itoh had pointed out an important related paper by ryuotaro komiya and t shizuki 1967 whose condition 11 for the johnson case anticipated our equation 12 below we are grateful for having both of these references brought to our attention 2 gale constructs an example in which the donor is enriched along with the recipient furthermore this immediately implies that a reverse transfer will immis

foreign aid domestic investment and welfare this paper examines the welfare implications of temporary foreign aid in a simple two period two country model of trade domestic investment is endogenous providing an important link between aid in period one and the terms of trade in periods one and two transfer induced changes in the terms of trade redistribute present and future income between the donor and the recipient in the presence of barriers to international borrowing and lending such redistribution gives rise to the possibility of temporary aid being both potentially and strictly pareto improving

local risk aversion in the rank dependent expected utility model first order versus second order effects abstract we evaluate locally the risk premium of a lottery in the framework of the rdeu model as the sum of two terms the first is a measure of risk aversion while the second is a measure of spreading aversion

a generalization of pratt arrow measure to nonexpected utility preferences and inseparable probability and utility the pratt arrow measure of local risk aversion is generalized for then dimensional state preference model of choice under uncertainty in which the decision maker may have inseparable subjective probabilities and utilities unobservable stochastic prior wealth and or smooth nonexpected utility preferences local risk aversion is measured by the matrix of derivatives of the decision maker s risk neutral probabilities without reference to true subjective probabilities or riskless wealth positions and comparative risk aversion is measured without requiring agreement on true probabilities risk neutral probabilities and their derivatives are shown to be sufficient statistics for approximately optimal investment and financing decisions in complete markets for contingent claims

a schur concave characterization of risk aversion for non expected utility preferences abstract this paper extends machina s econometrica 50 1982 277 323 characterization of risk aversion for frechet differentiable non expected utility preferences to the class of continuous non expected utility preferences without imposing any differentiability requirement the necessary and sufficient condition for risk aversion is derived in terms of the schur concavity of the preference functional when evaluated on finite lotteries with equal probabilities the latter is characterized by its marginal rate of substitution between a high income state and a low income state being not less than unity correspondingly the more risk averse the preference ordering the greater is its marginal rate of substitution between a high income state and a low income state finally we apply our results to characterize individual as well as comparative risk aversion for the class of g teaux differentiable preferences in terms of the concavity of the g teaux derivative or local utility function this extends machina s frechet based local expected utility analysis to the larger class of g teaux differentiable preferences journal of economic literature classification number d81

unemployment in britain male unemployment in britain has risen from around 2 per cent in the 1950s to around 17 per cent in 1985 see figure 1 the figures are for male unemployment because there is no consistent series for women 1 even more remarkably unemployment has fallen in only three years out of the last twenty 1973 1978 and 1979 to account for this we need a model that explains both changes in the natural or non accelerating inflation rate of unemployment nairu and deviations from it we use a three equation supply side model centred on the labour market this has two main features the first concerns the determination of employment in the short run the labour demand function that we use cuts through the fruitless debate now raging especially in europe as to whether current unemployment is classical or keynesian according to the classical view employment is too high because real wages are too high according to the keynesian view real wages are not binding and unemployment is high because the product market does not clear with prices too high relative to nominal demand the whole debate is set in the framework of perfect competition yet in perfect competition prices are set by impersonal forces and it is not clear what could possibly stop prices clearing the market it is much more reasonable to think of prices as being set by imperfectly competitive firms existing prices being the best they can think of given the demand they face in this context firms demand for labour will depend on both the real product wage and the level of real aggregate demand this is the demand function we estimate and it conforms both to common sense and to the data however this does not imply that employment can be made to grow without limit by pumping up real demand for in the medium term when price surprises are eliminated our model determines three variables employment real wages and real demand on the basis of three equations an employment equation a price equation and a wage equation thus in the medium term there is a natural level of employment and corresponding to this a natural level of real aggregate demand the second key feature of our model concerns the medium term determination of unemployment in the medium term the planned mark up of wages over prices in wage settlements must be consistent with the mark up of prices over wage costs in employers pricing behaviour for if wage setters try to set real product wages higher than is consistent with employers pricing behaviour this generates ever increasing inflation thus the key to understanding unemployment in the medium term is the behaviour of wage setters if events occur that push them towards too high real wages then unemployment has to rise to offset these influences we shall call these influences wage pressure variables or push factors and they are clearly crucial in understanding unemployment the variables here include the social security system employment protection

optimal foreign aid and tariffs this paper investigates the optimal choice of foreign aid when trade policies are decided in a non cooperative fashion three alternative scenarios depending on the timing of the actions and on whether aid is tied are analyzed it is shown that in the case where aid is decided before tariffs untied aid can lead to the reduction of the recipient s optimal trade tax when the donor can tie the aid to a reduction in the recipient s tariff the optimal aid level is always positive and the world can always achieve a pareto efficient equilibrium

hourly wages and working time in the dutch market sector 1962 1995 this article analyses the joint behaviour of hourly wages and standard hours in the netherlands with respect to the development of full time hours to different hypotheses are suggested work sharing or productivity sharing under the work sharing hypothesis high unemployment would lead to reduced hours whereas under productivity sharing increased productivity leads to higher wages or reduced hours the evidence is in favour of the productivity hypothesis there is no direct impact of unemployment on the evolution of hours moreover although reduced hours tend to increase hourly wages in the short run this is not the case in the long run

valuing risky projects option pricing theory and decision analysis in the academic literature and professional practice there are a number of alternative and apparently competing methods for valuing risky projects in this paper we compare and contrast three different approaches risk adjusted discount rate analysis option pricing analysis and decision analysis focusing on the last two we show that in contrast to some of the claims made in the real options literature when both option pricing and decision analysis methods are correctly applied they must give consistent results we also explore ways in which option pricing and decision analysis methods can be profitably integrated in particular we show how option pricing techniques can be used to simplify decision analysis when some risks can be hedged by trading and conversely how decision analysis techniques can be used to extend option pricing techniques to problems with incomplete securities markets

the welfare effects of targeted export subsidies a general equilibrium approach a three country model of export subsidies is developed with an exporter an importer and a neutral country which can act on either side of the market when the neutral country is an exporter the country offering a targeted export subsidy always suffers a welfare loss however when the neutral country is an importer the possibility of a paradoxical result that the subsidizing country can gain and the subsidized country can lose is shown to exist and the conditions under which this result occurs are derived the model fails to provide justification on national welfare grounds for widespread use of targeted export subsidies such as the export enhancement program

an explorative empirical analysis of the influence of labour flows on wage formation this study presents an explorative econometric analysis of the influence of labour market flows on wage formation it applies the vector cointegration and common trends methodology of johansen likelihood based inference in cointegrated vector autoregresssive models oup oxford 1995 according to this approach a combination of the flow of layoffs flow from employment to unemployment and the flow of filled vacancies successful matches appears to be an adequate alternative to the unemployment rate as indicator of labour market tightness in the wage equation for the netherlands

welfare effects of aid under quantitative trade restrictions the paper examines the effects of tied aid on the welfare of both the donor and the recipient countries we depart from the previous literature by assuming preexistence of quantitative trade distortions to mitigate these distortions the donor country provides aid that is tied to the rationed good conditions for the presence of the transfer paradox and of the enrichment of both countries are derived and interpreted under the stability of the system furthermore we show that whereas untied aid cannot increase global welfare tied aid unambiguously does so

foreign aid and public goods abstract most less developed countries ldcs use foreign economic aid to finance public consumption goods or public intermediate inputs this paper constructs a two country general equilibrium trade model where an income transfer that takes place between the two countries is used by the recipient to finance a public consumption good within this framework the paper identifies the conditions under which the income transfer improves or deteriorates the donor country s terms of trade and shows that the transfer can be welfare enriching for the donor and welfare immiserizing for the recipient country the paper also demonstrates that the transfer can raise reduce world welfare in which case a welfare increase decrease in both the donor and the recipient country is possible

a more robust definition of subjective probability the goal of choice theoretic derivations of subjective probability is to separate a decisionmaker s underlying beliefs subjective probabilities of events from their preferences attitudes toward risk classical derivations have all relied upon some form of the marschak samuelson independence axiom or the savage sure thing principle which imply that preferences over lotteries conform to the expected utility hypothesis this paper presents a choice theoretic derivation of subjective probability in a savage type setting of purely subjective uncertainty which neither assumes nor implies that the decisionmaker s preferences over lotteries necessarily conform to the expected utility hypothesis copyright 1992 by the econometric society

risk aversion in the theory of expected utility with rank dependent probabilities expected utility with rank dependent probability theory is a model of decision making under risk where the preference relations on the set of probability distributions is represented by the mathematical expectation of a utility function with respect to a transformation of the probability distributions on the set of outcomes this paper defines based on g teaux differentiability measures of risk aversion for such preferences which characterize the relation more risk averse and applies these measures to the analysis of unconditional and conditional portfolio choice problems

the invention of the independence condition for preferences this paper discusses the history and interrelations of three central ideas in preference theory the independence condition in decision under risk the sure thing principle in decision under uncertainty and conjoint independence for multiattribute decisions and consumer theory independence was recognized as an important component of decision under risk in the late 1940s by jacob marschak john nash herman rubin and norman dalkey and first appeared in publication in marschak marschak j 1950 rational behavior uncertain prospects and measurable utility econometrica18 111 141 and nash nash j f 1950 the bargaining problem econometrica18 155 162 the sure thing principle can be credited to savage savage l j 1953 une axiomatisation du comportement raisonnable face i l incertitude colloq internal centre national rech sci 40 econometrie 29 40 savage l j 1954 the foundations of statistics wiley new york 2nd edn dover new york 1972 conjoint independence for consumer theory was introduced by sono sono m 1943 the effect of price changes on the demand and supply of separable goods in japanese kokumin keisai zasshi74 1 51 and leontief leontief w w 1947a a note on the interrelation of subsets of independent variables of a continuous function with continuous first derivatives bull amer math soc 53 343 350 leontief w w 1947b introduction to a theory of the internal structure of functional relationships econometrica51 361 373 a form of it can also be recognized in samuelson samuelson p a 1947 foundations of economic analysis harvard university press cambridge ma presented earlier in samuelson samuelson p a 1940 foundations of analytical economics the observational significance of economic theory ph d dissertation harvard university boston ma independence and the sure thing principle are equivalent for decision under risk but in a less elementary way than has sometimes been thought the sure thing principle for decision under uncertainty and conjoint independence are identical in a mathematical sense the mathematics underlying our three preference conditions has an older history the independence condition for decision under risk can be recognized in the characterization of associative means and conjoint independence for multiattribute decisions in solutions to the generalized associativity functional equation

changes in background risk and risk taking behaviour economic decision making under uncertainty often takes place in the presence of multiple risks and in markets that are less than complete as a consequence choices about endogenous risks sometimes must be made while simultaneously facing one or more immutable exogenous background risks that are not under the control of the agent and that are independent of endogenous risks it is somehow natural to assume that an exogenous deterioration in background wealth will cause an individual to take more care elsewhere if we define a deterioration for example as making the individual poorer by removing a fixed amount of initial wealth we know from pratt 1964 that decreasing absolute risk aversion dara of an individual s von neumann morgenstern utility function yields this natural result if on the other hand background wealth becomes riskier due to the addition of a zero mean risk that is also statistically independent of all other risks behavior will be more risk averse if and only if preferences are risk vulnerable as defined by gollier and pratt 1996 risk vulnerability described below in section 4 is a stronger notion than dara and includes proper risk aversion pratt and zeckhauser 1987 and standard risk aversion eeckhoudt and kimball 1992 kimball 1993 as particular cases but a deterioration in background wealth may encompass more complicated distribution changes than the introduction of another statistically independent risk in this paper we examine background wealth deteriorations that take the form of both general firstand second degree stochastic dominance changes in risk fsd and ssd respectively in particular we determine conditions that are both necessary and sufficient for each of these two types of background risk changes to imply more risk averse behavior on the part of the individual for the case of fsd changes this condition turns out to be ross stronger characterization of decreasing absolute risk aversion in the case of general ssd changes in the distribution of background wealth the condition derived is a stronger version in ross sense of the conditions characterizing preferences that are locally risk vulnerable in the sense of gollier and pratt the necessary and sufficient conditions derived are fairly restrictive upon preferences however if we take as positive behavior that individuals act in a more risk averse manner whenever the distribution of background wealth deteriorates these conditions place canonical limits upon appropriate utility representations at the very least they

some stronger measures of risk aversion in the small and the large with applications the arrow pratt measures of risk aversion for von neumann morgenstern utility functions have become workhorses for analyzing problems in the microeconomics of uncertainty they have been used to characterize the qualitative properties of demand in insurance and asset markets to examine the properties of risk taking in taxation models and to study the interaction between risk and life cycle savings problems to name just a few applications equally importantly they have generated the linear risk tolerance class of utility functions which has provided canonical examples in such diverse areas as portfolio theory and the theory of teams despite these successes there have been a number of areas for which the results have been weaker than hoped it is natural to use the risk aversion measures to compare the behavior of individuals in risky choice situations for example consider the individual portfolio choice problem in a two asset world with a riskless asset and a risky asset if individual a has a uniformly higher arrow pratt coefficient of risk aversion than individual b then b will always choose a portfolio combination with more wealth invested in the risky asset but suppose that both assets are risky now there is no obvious sense in which the more risk averse individual can be said to hold a less risky portfolio but it seems strange that such a simple alteration should destroy the analytics which support the basic intuition similarly consider the basic insurance problem if one individual a is more risk averse than another b in the arrow pratt sense it follows that a will pay a larger premium to insure against a random loss than will b typically though an individual evaluates partial rather than total insurance that is only some gambles can be insured against and others must be retained in this case even when the gambles which are retained are independent from those which are insured it is no longer true that the individual whose arrow pratt measure of risk aversion is higher will pay a larger insurance premium the situation is no better when we consider comparative statics exercises for a single individual decreasing absolute risk aversion in the sense of arrow and

transfers the terms of trade and capital accumulation in the context of a two sector overlapping generations model it is demonstrated that a steady state transfer paradox may arise under commodity trade with stability and without distortions or bystanders the existence of the paradox is due to the effect of the transfer on world capital accumulation which is shown to always i e for any ranking of factor intensities and savings rates improve the donor s terms of trade transfers may also improve steady state welfare for both donor and recipient and produce paradoxical welfare results along the transition path la litterature en statique du commerce international a conclu que en l absence de distorsions ou de tierces parties les mouvements des termes d echange induits par les transferts ne peuvent pas etre suffisamment importants quand il y a stabilite walrasienne pour engendrer le paradoxe du transfert on a tire la conclusion de modeles dynamiques a un secteur que le paradoxe du transfert est possible mais en comptant sur la mobilite internationale du capital et sur les mouvements dans le niveau mondial du taux d interet plutot que sur les prix et les marches des biens dans un modele dynamique a deux secteurs ou les generations se chevauchent ce qui permet des effets a la fois statiques et intertemporels dans les termes d echange le commerce des biens peut engendrer un paradoxe du transfert en regime permanent quand il y a stabilite walrasienne sans distorsions et tierces parties l existence du paradoxe est attribuable a l effet du transfert sur l accumulation du capital qui toujours pour tout ordre des intensites de facteur et des taux d epargne ameliore les termes d echange du donneur les transferts peuvent aussi ameliorer le bien etre du donneur et du recipiendaire en regime permanent et produire des resultats paradoxaux de bien etre dans le sentier de transition

a definition of uncertainty aversion a definition of uncertainty or ambiguity aversion is proposed it is argued that the definition is well suited to modelling within the savage as opposed to anscombe and aumann domain of acts the defined property of uncertainty aversion has intuitive empirical content behaves well in specific models of preference multiple priors and choquet expected utility and is tractable tractability is established through use of a novel notion of differentiability for utility functions called eventwise differentiability

immiserizing transfers from abroad abstract this paper shows that an international transfer payment may paradoxically immiserize the recipient country or increase the donor country s welfare even when world markets are stable despite the traditional view that such a paradox theoretically requires market instability to demonstrate this paradoxical possibility the paper extends the conventional trade theoretic analysis to admit exogenous distortions created by tax cum subsidies in domestic production or endogenous distortions due to additionality requirements imposed by the donor on the recipient this analysis of immiserizing transfers from abroad immediately suggests significant implications for important policy issues including the evaluation of real benefits from foreign aid

cyclical variation in vacancy durations and vacancy flows an empirical analysis abstract this paper presents an empirical analysis of vacancy durations and vacancy flows in the netherlands over the years 1980 1988 we distinguish vacancies according to required occupation and educational levels we derive estimates of average vacancy durations and we use these to derive estimates of vacancy flows we find that vacancy durations generally increase with the required educational level moreover vacancy flows tend to be more responsive to the business cycle at lower educational levels while vacancy durations are more responsive at higher educational levels the number of vacancies generated by employers has not decreased during the recession in the early 80s which points to a dominant role of the supply of applicants in explaining the cyclical pattern of vacancy durations

precautionary saving in the small and in the large the theory of precautionary saving is shown to be isomorphic to the arrow pratt theory of risk aversion making possible the application of a large body of knowledge about risk aversion to precautionary saving and more generally to the theory of optimal choice under risk in particular a measure of the strength of the precautionary saving motive analogous to the arrow pratt measure of risk aversion is used to establish a number of new propositions about precautionary saving and to give a new interpretation of the dreze modigliani substitution effect copyright 1990 by the econometric society