deriving a flexible mixed demand system the normalized quadratic model this article deals with the specification of a locally flexible and theory consistent system of mixed demand functions a framework that allows for a rich set of possibilities about what is assumed as exogenous in a demand model a coherent mixed demand system is derived by using the restricted expenditure function typically studied in the related area of rationed demands the method is implemented by a new normalized quadratic nq parameterization of the restricted expenditure function the resulting nq mixed demand system is illustrated with an application to a nine good model of the italian demand for vegetables

optimal insurance in incomplete markets this paper examines the theory of optimal insurance purchasing in the presence of uninsurable background risk existing theorems concerning the optimal level of insurance and the optimal form of an insurance contract are shown to hold only under restricted market and risk assumptions in particular conditions sufficient for the optimality of full coverage or sufficient for the optimality of deductible policies depend on the correlation between insurable and uninsurable risks these results may provide a partial explanation why existing theory is often contradicted by observable behavior

generalized models of japanese demand for fish given a relative lack of knowledge about japanese consumer preferences for fish japanese fish demand is modeled using both marshallian ordinary and inverse demand systems each of which nests a number of competing specifications results indicate that the inverse demand systems dominate the ordinary demand systems in forecasting performance and in nonnested tests the inverse system suggests that japanese fish prices are less responsive to changes in consumption than found in previous studies

optimal risk sharing with background risk this paper examines qualitative properties of efficient insurance contracts in the presence of background risk in order to get results for all strictly risk averse expected utility maximizers the concept of stochastic increasingness is used different assumptions on the stochastic dependence between the insurable and uninsurable risk lead to different qualitative properties of the efficient contracts the new results obtained under hypotheses of dependent risks are compared to classical results in the absence of background risk or to the case of independent risks the theory is further generalized to nonexpected utility maximizers

the risk averse and prudent newsboy the effects of risk and risk aversion in the single period inventory newsboy problem are examined comparative static effects of changes in the various price and cost parameters are determined and related to the newsboy s risk aversion the addition of a random background wealth and of an increase in the riskiness of newspaper demand are also examined although many of the comparative effects generally are ambiguous some fairly simple restrictions on preferences and or risk increases are shown to lead to qualitatively deterministic results

clean and productive empirical evidence from the german manufacturing industry abstract in view of the controversial policy debate on green growth and corresponding stimulus packages we empirically investigate the production effects of environmental investment as well as of environmental and energy expenditures using a panel dataset of german manufacturing sectors our econometric analysis identifies a positive impact of environmental investment on production growth in contrast our estimation results cannot support the hypothesis of positive production impacts induced by environmental or energy expenditures we thus conclude that environmental regulation should in particular stimulate environmental investment in order to be compatible with the pursuit of production growth

the determination of optimal climate policy abstract analyses of the costs and benefits of climate policy such as the stern review evaluate alternative strategies to reduce greenhouse gas emissions by requiring that the cost of emission cuts in each and every year has to be covered by the associated value of avoided damage discounted by a an exogenously chosen rate an alternative is to optimize abatement programmes towards a stationary state where the concentrations of greenhouse gases are stabilized and shadow prices including the rate of discount are determined endogenously this paper examines the properties of optimized stabilization it turns out that the implications for the evaluation of climate policy are substantial if compared with evaluations of the present value of costs and benefits based on exogenously chosen shadow prices comparisons of discounted costs and benefits tend to exaggerate the importance of the choice of discount rate while ignoring the importance of future abatement costs which turns out to be essential for the optimal abatement path numerical examples suggest that early action may be more beneficial than indicated by comparisons of costs and benefits discounted by a rate chosen on the basis of current observations

do environmental benefits matter evidence from a choice experiment among house owners in germany residential buildings strongly contribute to global co2 emissions due to the high energy demand for electricity and heating particularly in industrialised countries within the eu decentralised heat generation is of particular relevance for future climate policy as its emissions are not covered by the eu ets we conducted a choice experiment concerning energy retrofits for existing houses in germany in the experiment the approximately 400 sampled house owners could either choose a modern heating system or an improved thermal insulation for their home we used standard and mixed logit specifications to analyse the choice data we found environmental benefits to have a significant impact on choices of heating systems however they played no role in terms of insulation choices based on the estimated mixed logit model we further obtained willingness to pay wtp measures for co2 savings

the inverse almost ideal demand system abstract a new demand system related to the almost ideal demand system aids of deaton and muellbauer is developed and illustrated this inverse aids iaids retains all of the desirable theoretical properties of the aids model with the exception of consistent aggregation an empirical issue is whether a linear approximation will work as well for the iaids as it has for the aids model since quantities are not as highly correlated as prices an application to u s meat demand demonstrates that the linear approximation of the iaids is excellent which enhanced the ease and range of application

are people risk vulnerable we report on a within subject experiment with substantial monetary incentives designed to test whether or not people are risk vulnerable in the experiment subjects face the standard portfolio choice problem in which the investor has to allocate part of his wealth between one safe asset and one risky asset we elicit risk vulnerability by observing each subject s portfolio choice in two different contexts that differ only by the presence or absence of an actuarially neutral background risk our main result is that most of the subjects are risk vulnerable 81 chose a less risky portfolio when exposed to background risk more precisely 47 invested a strictly smaller amount in the risky asset whereas 34 were indifferent furthermore contrasting the predictions provided by competing decision theoretic models we conclude that expected utility theory best fits our experimental data this paper was accepted by uri gneezy behavioral economics

the poultry market demand stability and industry structure the stability of the demand for poultry meat and specification issues in its estimation are explored the analysis concludes that the demand for poultry meat shifted out in the early 1970s at the same time the demand relationship between poultry and pork changed from substitution to independence a second conclusion is that poultry price is predetermined for demand in annual u s data while quantity is not a predetermined price suggests several market structures exogeneity tests are performed to distinguish among them the results are consistent with a competitive constant returns to scale industry facing elastic factor supplies

the inverse imported factor demand system in thailand a cointegration analysis abstract in this paper we derive an inverse input demand system and apply cointegration analysis to the imported factor demand of thai industry we found one cointegrating vector and six common stochastic trends all short run flexibilities are less than one

risk aversion wealth and background risk we use household survey data to construct a direct measure of absolute risk aversion based on the maximum price a consumer is willing to pay for a risky security we relate this measure to consumer s endowments and attributes and to measures of background risk and liquidity constraints we find that risk aversion is a decreasing function of the endowment thus rejecting cara preferences we estimate the elasticity of risk aversion to consumption at about 0 7 below the unitary value predicted by crra utility we also find that households attributes are of little help in predicting their degree of risk aversion which is characterized by massive unexplained heterogeneity we show that the consumer s environment affects risk aversion individuals who are more likely to face income uncertainty or to become liquidity constrained exhibit a higher degree of absolute risk aversion consistent with recent theories of attitudes toward risk in the presence of uninsurable risks jel d1 d8

the paradox of redistribution and strategies of equality welfare state institutions inequality and poverty in the western countries the structure of welfare state institutions 2 a trade off exists between the degree of low income targeting and the size of redistributive budgets 3 outcomes of market based distribution are often more unequal than those of earnings related social insurance programs we argue that social insurance institutions are of central importance for redistributive outcomes using new data our comparative analyses of the effects of different institutional types of welfare states on poverty and inequality indicate that institutional differences lead to unexpected outcomes and generate the paradox of redistribution the more we target benefits at the poor and the more concerned we are with creating equality via equal public transfers to all the less likely we are to reduce poverty and inequality social scientists and social reformers have long debated how the welfare state and social policies should be designed so as to best reduce poverty and inequality this debate involves two different issues one question concerns whether social policies should be targeted or universal that is should they be organized for the poor only or should the welfare state include all citizens in the context of nontargeted programs another question concerns the level of benefits should benefits be equal for all or should they be related to previous earnings and in

on the theory of the competitive firm under uncertainty when initial wealth is random since sandmo s seminal paper on the theory of the competitive firm under output price uncertainty there has been considerable research on this topic 2 5 6 10 11 14 in all these studies it is assumed that in the absence of complete contingent markets output price risk is the only source of uncertainty for the firm however this may not be a realistic assumption in particular as argued by kihlstrom et al 7 it appears reasonable to consider the case where some of the initial wealth of the firm is held in risky assets in that case initial wealth is uncertain and should be modelled as a random variable the objective of this paper is to investigate the introduction of random initial wealth in sandmo s theory of the firm under price uncertainty in sandmo s model a number of important comparative static results e g the conditions under which the supply function is upward sloping 14 69 or under which increased price uncertainty reduces supply 5 depends critically on the sign of a particular expression stated in lemma 2 in ishii 5 while sandmo 14 69 shows this expression is non negative under arrow pratt decreasing absolute risk aversion it can be verified that his proof no longer holds when initial wealth is random therefore the comparative static analysis conducted by sandmo 14 batra and ullah 2 and ishii 5 is no longer valid and gives ambiguous results under initial wealth uncertainty the reason is that the arrow pratt measures of risk aversion 1 12 are too weak for making comparisons in situations where there is more than one source of uncertainty 13 then what can be deduced from the theory of the competitive firm in the realistic case where both initial wealth and output price are uncertain we will show here that meaningful results on the behavior of the competitiv firm under uncertainty can be obtained provided that the arrow pratt measures of risk aversion 1 12 are replaced by the ross measures of risk aversion 13 in particular a comparative static analysis of the production decisions using ross characterization of risk behavior is presented a number of new results are derived on the properties of risk responsive supply and input demand functions under both price and initial wealth uncertainty

energy equity and the future of the fuel poor abstract a warm and adequately lit home is considered a basic need together with access to energy consuming appliances ranging from a fridge to a tv an underlying tenet of sustainable energy is that such basic needs should be affordably met yet low incomes energy inefficient housing and appliances and high energy costs mean that roughly 10 per cent of uk households many of them elderly or with young children fail to attain this basic standard these households which would need to spend more than 10 per cent of their income to attain adequate energy services are officially defined as fuel poor their cold poorly equipped homes lead to chronic cold related health conditions exacerbate social isolation and may undermine educational achievement in addition rural areas have a disproportionately high incidence of fuel poverty this review examines the current distribution of energy consumption its social impacts and the opportunities to address fuel poverty through improvements to the housing stock it will then consider potential future developments

differential demand systems a further look at barten s synthesis barten s synthetic model is attractive to applied researchers since it is useful for testing the adequacy of the competing functional forms of differential demand systems including the popular rotterdam and almost ideal demand systems this article shows that the synthetic model is not a mere artificial composite of the known differential demand systems as it has been considered but rather viewed as a model in its own right it is demonstrated that at the individual consumer level barten s model has the same marginal budget shares as generated by specific forms of engel curves formulated by the box cox transformation

risky choices and correlated background risk the analysis of a risky project should take into account not only uncertainties about the return from that project project risk but also uncertainties associated with other ongoing projects and with exogenous factors that can impact final wealth background risk the presence of background risk can change the optimal course of action with respect to a project and ignoring such risk might lead to a poor decision most work on background risk assumes that project risk and background risk are independent and are additive in their impact on wealth however independence is often unrealistic and background risk operates in a multiplicative manner in many situations we relax the independence assumption and consider a model with both additive and multiplicative background risk the optimal decisions in the correlated setting can be very different than those that would appear optimal if the correlation were ignored the impact of correlation differs in the additive and multiplicative cases with positive correlation being beneficial in some cases and negative correlation in others the analytical and numerical results indicate that in analyzing decision making problems it is very important to understand the direction and degree of dependence between project risk and background risks

household energy and climate mitigation policies investigating energy practices in the housing sector abstract one central aim of climate change mitigation in the european union is to reduce energy consumption in the housing sector in order to ensure effectiveness of policies targeting household energy conservation it is important to investigate existing energy practices of different social groups this article describes and explains energy practices in three leading states in environmental politics technological innovation and support for renewable energy production denmark austria and the united kingdom based on a longitudinal analysis of housing utility costs from the european community statistics on income and living conditions we show that income plays a central role in households energy practices while high income households have higher overall energy consumption low income groups spend a larger share of their income on utility costs the variation of energy consumption across income groups is related to household characteristics characteristics of the dwellings and cross national differences in the housing sector

price and quantity endogeneity in demand analysis evidence from directed acyclic graphs we propose to use the emerging method of directed graphs to study price quantity endogeneity issues in empirical demand analysis the approach is illustrated through the examination of u s meat consumption we find that for two major meat products beef and poultry retail prices contemporaneously caused quantities consumed thus were predetermined in contrast the quantity consumed of pork appeared to be predetermined relative to its price

on interpreting inverse demand systems a primal comparison of scale flexibilities and income elasticities scale flexibilities in inverse demand systems describe how marginal valuations change with expansions in the consumption bundle such effects clearly are related to income elasticities in direct demand systems however the connection is not so close as it first appears we argue that the link between scale flexibilities and income elasticities is tight only if preferences are homothetic a situation where neither measure is interesting or if all elasticities of substitution are unitary we make clear the relationship between the two measures in a coordinate system focusing on how marginal rates of substitution change with consumption scale and proportion

convex and decreasing absolute risk aversion is proper proper risk aversion a pivotal concept in the study of behavioral conditions on utility functions states that an undesirable risk can never be made desirable by the presence of an independent risk it is well known that standard risk aversion is sufficient for this concept we show in this short article that convex and decreasing absolute risk aversion is an alternative sufficient condition

quantifying the severity of fuel poverty its relationship with poor housing and reasons for non investment in energy saving measures in ireland fuel poverty has generally been calculated by quantifying the number of households spending in excess of 10 of income on home heating this definition has a number of significant practical and scientific limitations this paper employs self reported data to calculate the severity of fuel poverty in ireland to identify chronic fuel poor households from occasional sufferers it also assesses domestic energy efficiency levels ireland is a useful case study as it demonstrates the highest variations in seasonal mortality and morbidity in northern europe both of which are associated with fuel poverty ireland is also experiencing extreme difficulties meeting its environmental emissions targets in light of recent spectacular economic growth reducing fuel poverty would lower energy related emissions assisting policy makers achieve these challenging targets furthermore little empirical research has been undertaken on fuel poverty in ireland this paper identifies key social groups at risk by conducting detailed socio economic and socio demographic analyses the relationship between fuel poverty and adverse housing conditions damp condensation is also examined moreover the reasons behind householders not investing in energy saving measures are reported the results show that ireland suffers from similar levels of fuel poverty as the uk with low income households suffering the greatest the key policy implications are outlined

relationship between ethanol and gasoline aids approach abstract ethanol production in the united states has increased significantly due to government support which has begun to dwindle ethanol now seems to compete with gasoline for vehicle fuel but because ethanol is mostly sold as a blend gasoline and ethanol could be complementary fuel sources the study investigates the true relationship between these fuels since it has policy implications results of la aids estimation show the two fuels were substitutes before the rapid expansion of ethanol production but have become complements overtime due to increasing share of ethanol in fuel consumption

preserving preference rankings under background risk abstract for any random vector of wealth payoffs x 1 x 2 let the random variable z be mutually independent of x 1 and x 2 with e z 0 the basic question we address in this paper is the following when can we say that x 1 z is preferred by an expected utility maximizer to x 2 z whenever x 1 is preferred to x 2 in other words when can we guarantee that the addition of an arbitrary independent background noise z will not affect the preference ranking between other risks

an inverse demand system for u s composite foods this article provides a theoretically consistent framework for estimating a complete price dependent demand system where the concept of distance function and its related substitution and scale effects are used the approach is applied to a u s demand system consisting of thirteen food and one nonfood categories

promise and shortcomings of a green turn in recent policy responses to the double crisis abstract the paper analyses six international scale responses to the financial and climate change double crisis in order to review how they define problems and solutions analyse what underpins the policy choices revealed in these responses the green turn reflect on the implications of the proposed solutions in terms of sustainability and global environmental justice and to suggest three elements for a paradigm shift towards an alternative turn embedded in ecological economics theory the analysis reveals that responses by leading international organisations continue to appeal to the precepts of neoclassical economy we argue that from an ecological economics perspective policy responses under the various labels of green economy green growth sustainable growth green new deal fall well short of what is needed to fight the environmental crisis and rising inequality across and within countries the idea of justice and equity that underpins the mainstream approach seems inadequate in terms of sustaining our environmental base and global environmental justice based on this critical review we propose an alternative turn centred on three elements of a paradigm shift leading to a new economy where the environmental base and global environmental justice are at the centre of the discourse

background risk and self protection abstract the presence of background risk increases self protection effort or caution as long as an agent is prudent in addition the result extends to monetary self protection investment if wealth and consumption are complements

causality in demand a co integrated demand system for trout in germany this article focuses on causality in demand a methodology where causality is imposed and tested within an empirical co integrated demand model not prespecified is suggested the methodology allows different causality of different products within the same demand system the methodology is applied to fish demand on the german market for farmed trout and substitutes it is found that supply sources i e aquaculture and fishery are not the only determinant of causality storing tightness of management and aggregation level of integrated markets might also be important the methodological implication is that more explicit focus on causality in demand analyses provides improved information the results suggest that frozen trout forms part of a large european whitefish market where prices of fresh trout are formed on a relatively separate market redfish is a substitute on both markets the policy implication is that increased production of trout causes a downward pressure on fresh trout prices but froz

making the connection the relationship between fuel poverty electricity disconnection and prepayment metering abstract fuel poverty or inability to afford adequate heating for a reasonable outlay of expenditure is a significant and under researched problem in new zealand the connection between fuel poverty and electricity disconnection or self disconnection is analysed for four cities using prepayment metering to pay for electricity a price comparison analysis on a government sponsored website showed that prepayment metering was more expensive than other payment options this website analysis was supplemented by qualitative data from older people with chronic respiratory disease expressing their views about electricity disconnection and prepayment metering we show that prepayment metering for electricity is more expensive than other payment methods in new zealand and that older people s insights provide valuable context to these issues under the present payment schedule the use of prepayment metering to pay for electricity is not a suitable policy instrument to address fuel poverty which remains problematic the deregulated electricity market continues to lead to increases in the real price of residential electricity and in the number of people in fuel poverty we offer policy suggestions for reducing fuel poverty in new zealand

modeling the pattern of structural change in u s meat demand the hypothesis of structural change in u s meat demand is tested in a four meat almost ideal demand system with parameters following a gradual switching regression model the results support the notion that structural change partly explains the observed u s meat consumption patterns structural change is biased against beef neutral for pork in favor of chicken and fish and it does not affect estimated elasticities the estimated path of structural change implies a rapid transition to a new regime in the mid 1970s although a smooth path cannot be ruled out

the optimal deductible for an insurance policy when initial wealth is random individual wealth typically includes risky assets often some of these risks are insurable but other risks such as market valuation of stocks inflation and other general economic conditions are usually not insurable a series of recent papers by kihlstrom romer and williams 1981 ross 1981 nachman 1982 and pratt 1982 have shown that the introduction of background risk requires stronger definitions of risk aversion we will use some of these results to examine the choice of the optimal deductible in an insurance contract when initial wealth is random an examination of insurance purchases within a broader portfolio is considered by doherty 1981 and by mayers and smith 1983 these papers use a mean variance framework to examine the separability of the insurance decision in general portfolio relationships have nontrivial implications for insurance buying strategies in particular correlation between insurable and noninsurable risk may affect the optimal level of insurance coverage deductible insurance is considered mainly because of its widespread use by many insurers furthermore deductibles the literature concerning the choice of optimal deductibles for insurance policies assumes that wealth is nonstochastic except for the value being insured however a decision maker s asset portfolio might easily contain other sources of risk some of which might be uninsurable this paper examines the choice of a deductible insurance contract in the presence of uninsurable background risk existing theorems concerning the optimality of full coverage are shown to hold only under restricted conditions concerning the correlation of insurable risk with other risky assets more general propositions are established and the effects of risk aversion are considered

inverse demand systems and choice of functional form abstract barten empirical economics 18 1993 129 recently advocated estimation of a synthetic demand system that mechanically nests four other popular differential demand models this paper follows a similar strategy but in the context of four inverse share equation demand systems the inverse translog demand system itlds the inverse almost ideal demand system iaids the inverse lewbel demand system ilds and the inverse non separable linear expenditure system inles each of these specifications is artificially nested in a hybrid inverse demand system hids an empirical application to three categories of quarterly u s meat demand data over the period 1961 1996 indicates the hids is a preferred specification

preservation of more risk averse under expectations abstract the preservation of risk aversion properties of utility functions under expectation operations is of interest in the study of derived utility functions in sequential decision problems and in problems with multiple contemporaneous sources of uncertainty the purpose of this note is to present sufficient conditions for the pratt relation more risk averse to be preserved under expectations

the newsvendor problem under multiplicative background risk this note studies the single period newsvendor problem when the newsvendor faces a multiplicative neutral independent background risk in an expected utility framework it is shown that multiplicative risk vulnerability is a sufficient condition to guarantee a decrease in the optimal order a weaker sufficient condition which has more interpretability is also provided and discussed this result sheds light on situations where exchange tax or inflation rates risks which apply multiplicatively to the final wealth are at work

forms of scale curves and differential inverse demand systems this article provides a new interpretation of the scale effects in differential inverse demand systems a scale curve is defined as a curve that shows how the expenditure share of a good or service changes as the consumption level changes it is shown that brown lee and seale s synthetic model has the same scale effects as do the box cox scale curves in this light their model is not a mere composite but a model in its own right an empirical illustration given for japanese fresh food demand suggests that the underlying scale curves differ from both linear and loglinear forms

regional differences in china s fossil energy consumption an analysis for the period 1997 2013 abstract measuring regional differences in fossil energy consumption is the first step to the study of natural resource allocation and utilization this paper employs annual and cumulative consumption gini indexes as well as the deviation index to discuss regional differences in the per capita consumption of fossil energy and related products across 30 chinese provinces from 1997 to 2013 the results show that chinese inter provincial gini ratio of fossil energy consumption is below 0 3 in recent years and change in per capita energy consumption is the key factor behind the decline in the overall gini index unlike existing studies based only on annual flows of energy consumption this paper also focuses on cumulative energy consumption moreover decomposing annual and cumulative consumption gini coefficients by type group and incremental variation is rarely seen in other studies based on the above positive analysis the paper provides some policymaking suggestions

information on sellers and buyers characteristics added value to explain price formation at primary fish markets in managed french scallop fisheries the aim of this article is to explore through a hedonic approach the factors that might explain the price variability for the french managed fishery of scallop at primary fish markets in addition to factors classically identified in the current literature like intrinsic product characteristics or markets situation the characteristics of operators are tested the relationships of loyalty between sellers and buyers and market assiduity are notably considered

inverse demand systems and welfare measurement in quantity space most studies of welfare or cost benefit analyses are concerned with the welfare effects of price changes 11 19 27 33 50 there are however many situations in which policy options are directly related to quantity changes the welfare effects of price changes are analyzed with the traditional demand system in which commodity quantities are determined as functions of their prices the welfare effects of quantity changes on the other hand are associated with the inverse demand system in which commodity prices are dependent on their quantities in conventional welfare analysis of price change prices are taken to be exogenous or predetermined while quantities are endogenous in contrast in welfare analysis of quantity changes quantities are exogenous while prices are endogenous price based or dual welfare measures are relevant when there are well functioning competitive markets and quantities are fully adjusted to changes in prices on the other hand quantity based or primal welfare measures are useful in situations where there are constraints on commodity quantities or when transaction costs impede consumers from fully adjusting to changes in prices the choice between priceand quantity based welfare measures is empirical and proper measurement of welfare effects requires the knowledge as to which variable price or quantity is the exogenous one for individual consumers it may be reasonable to assume that the supply of commodities is perfectly elastic and therefore prices can be taken as exogenous but this assumption may not be tenable for consumers in the aggregate or if highly aggregated economy wide data are used to estimate demand relations at the aggregate level quantities are more properly viewed as exogenous than are prices although individual consumers make their consumption decisions based on given prices the quantities of commodities are predetermined by production at the market level and prices must adjust so that the available quantities are consumed 28 1 2

elasticities in aids models in the literature a variety of approaches have been used to calculate demand elasticities in almost ideal demand system aids models of demand it is common to estimate the linear approximate almost ideal demand system la aids instead of the aids when the la aids is estimated all of the previously reported approaches to compute elasticities are theoretically incorrect this paper presents correct formulas for la aids elasticities and illustrates the potential errors from using incorrect computing the almost ideal demand system aids of deaton and muellbauer 1980a b has become popular in recent years anderson and blundell blanciforti and green 1983a b blanciforti green and king chalfant eales and unnevehr fujii khaled and mak fulponi heien and willett murray parsons ray a variety of approaches to computing elasticities has been used and some of the approaches may lead to significant errors this paper clarifies the differences between alternative approaches to estimating demand elasticities in aids models

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

characteristics and hedonic pricing of differentiated beef demands we estimate a cbs system model of u s derived demand for meat we use this model 1 to examine relationships between three quality categories of beef and three other meats and 2 to simulate how taste shifts have affected demands for meats over time we extend previous studies by disaggregating wholesale beef production into three quality categories 1 usda choice grade or higher 2 usda select or lower and 3 cow and bull beef innovative features of our empirical model include a breakout of table cuts into choice and select and the use of a hedonic characterization of the two breakouts to value choice ness and beef ness our model demonstrates important shifts in separate demands for choice and select beef we show that separately the demand for choice grade beef declined in the 1980s and 1990s and the demand for select beef increased a departure from the relatively stable demand characterizations of more aggregated measures of combined choice and select beef jel classification q11 q13

the challenge to uk energy policy an ageing population perspective on energy saving measures and consumption abstract with a focus on the residential sector this paper explores the likelihood of the uk government meeting its energy targets the paper contends that energy policy needs to take into account the interplay of four major factors an ageing population of increasing diversity a cultural inclination for older housing much of which is thermally inefficient levels of fuel poverty and the inexorable rise of consumer spending on leisure related services and goods decisions made by older households both the poorer and the better off may be critical to the success of energy policy among the better off the changing expectations of the baby boomers with their predilection for consumption and travel may have particular impact the paper concludes that much of the reduction in carbon footprint made by older people s choices in heating and insulation may be offset not only by increasing domestic thermal comfort but also potentially by increasing consumables in the home and other consumer lifestyle choices what could be achieved at best may be a shift in energy mix

whither armington trade models the armington trade model distinguishes commodities by country of origin and import demand is determined in a separable two step procedure this framework has been applied to numerous international agricultural markets with the objective of modeling import demand in addition computable general equilibrium cge models commonly employ the armington formulation in the trade linkage equations the purpose of this paper is to test the armington assumptions of homotheticity and separability with data from the international cotton and wheat markets both parametric and nonparametric tests were performed and the empirical results reject the armington assumptions this has important implications for international trade modeling and cge modeling

choosing between risky prospects the characterization of comparative statics results and location independent risk we consider expected utility maximizers choosing from a family of risky prospects and examine how choice is influenced by the decision makers attitude to risk if the family of risky prospects can be ordered so that as decision makers are more risk tolerant they choose a gamble higher in the ordering then it is natural to say that the family of risky prospects admit a comparative static result the paper characterizes when comparative static results of this sort exist an application is to propose a criterion of location independent riskiness

really a front runner really a straggler of environmental leaders and laggards in the european union and beyond a quantitative policy perspective abstract as it has long been debated who is a front runner and who is a laggard state in terms of environmental protection it is rather surprising that the topic has received rather scant attention as far as quantitative large n research endeavours are concerned of course there is a broad literature on the topic however existing studies have shortcomings the criteria on which the assessments rely are often neither equivalent cross nationally nor are they communicated clearly enough i e not transparent although ambitious efforts have been invested to rank countries in terms of their environmental performance little systematic research exists that clearly determines leaders and laggards in terms of their policies policy performance and states ranking accordingly to the best of our knowledge no empirical study has so far conducted a comprehensive and quantitative leader laggard assessment policy analysis against this backdrop we aim to provide such a paper we especially strive to test the validity of common knowledge classifications or rankings derived from assessments in the literature we demonstrate that while some known frontrunner states are indeed leaders if assessed from a broader policy data perspective other countries commonly assigned a leader role find themselves in a lower position instead in addition some nations commonly excluded from the frontrunners are located unexpectedly high in the rankings even leader laggard reversals occur if our results would be compared to existing classifications most importantly the analyses show a considerable temporal dynamic while often claimed or assumed this has not been proven as clearly until now

state level benefits of energy efficiency this paper describes benefits attributable to state level energy efficiency programs nationwide state level energy efficiency programs have targeted all sectors of the economy and have employed a wide range of methods to promote energy efficiency standard residential and industrial programs typically identify between 20 and 30 energy savings in homes and plants respectively over a 20 year period of time an average state that aggressively pursues even a limited array of energy efficiency programs can potentially reduce total state energy use by as much as 20 well designed energy efficiency programs can be expected to help overcome numerous barriers to the market penetration of energy efficient technologies and accelerate the market penetration of the technologies energy efficiency programs are cost effective typical benefit cost ratios exceed 3 1 and are much higher when non energy and macroeconomic benefits are included indeed energy efficiency and associated programs and investments can create significant numbers of new jobs and enhance state tax revenues several states have incorporated energy efficiency into their economic development programs it should also be noted that increasing amounts of venture capital are being invested in the energy sector in general and in specific technologies like solar power in particular

effects of background risks on cautiousness with an application to a portfolio choice problem we provide necessary and sufficient conditions on an individual s expected utility function under which any zero mean idiosyncratic risk increases cautiousness the derivative of the reciprocal of the absolute risk aversion which is the key determinant for this individual s demand for options and portfolio insurance

the use of conditional cost functions to generate estimable mixed demand systems mixed demand systems have been virtually ignored in empirical work solely because derivation of these systems requires closed forms for both direct and indirect utility functions this article proposes the alternative of using a conditional cost function to generate empirical mixed demand models this approach allows the estimation of mixed demand systems which are explicit in an unobservable variable utility but may lack a closed form representation in terms of observable variables such as prices quantities and expenditure results indicate that this approach is operationally feasible which opens up a wider range of mixed demand specifications in static analyses

demand systems and the true subindex of the cost of living for pharmaceuticals this paper investigates the demand for prescription pharmaceuticals at the retail level we use complete demand systems to investigate elasticity for major classes of pharmaceuticals we estimate both a regular and an inverse demand system using a differential version of the rotterdam model we find that both systems yield negative and statistically significant own price elasticities the results indicate that pharmaceutical demand curves are not perfectly inelastic as some industry commentators suggest we use the results of the complete demand system and a variant of a formula developed by balk 1990 to derive a cost of living subindex for retail pharmaceuticals we find that retail pharmaceutical prices using our index rise faster than wholesale prices calculated either by the bls or by the methods developed by berndt et al 1993

multiplicative background risk although there has been much attention in recent years on the effects of additive background risks the same is not true for its multiplicative counterpart we consider random wealth of the multiplicative form xy where x and y are statistically independent random variables we assume that x is endogenous to the economic agent but that y is an exogenous and nontradable background risk that represents a type of market incompleteness our main focus is on how the presence of the multiplicative background risk y affects risk taking behavior for decisions on the choice of x we extend the results of gollier and pratt 1996 to characterize conditions on preferences that lead to more cautious behavior

climate policy and the social cost of power generation impacts of the swedish national emissions target the purpose of this paper is to discuss how the design of climate policy in a small open economy may affect the internalization of carbon related external costs and ultimately the social choice between different power generation technologies empirically we focus on the swedish case and analyze three climate policy regimes out of which two represent different national goal formulations and thus compliance strategies the results show that the social choice between power generation technologies in sweden will be significantly influenced by the choice of climate policy regime most notably if sweden would abandon its present national target for carbon dioxide emissions and instead make full use of the country s participation in international emissions trading natural gas fired power would replace onshore wind power as the power generation source with the lowest social cost

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

demand for beef and chicken products separability and structural change several studies have indicated that the recent shift from beef to poultry in consumption is not entirely caused by changes in rela tive prices or income braschler chavas dahlgran hudson and vertin moschini and meilke frank thurman most studies of structural change have focused on red meat consumption only thurman has looked closely at the poultry market and no one has considered poultry products yet the mix of chicken products marketed changed dramat ically during the last twenty years and should have influenced aggregate meat demand the share of broiler slaughter marketed as whole birds declined from 74 in 1965 to 28 in 1985 while cut up parts and processed chick en products increased from 26 to 72 whole birds are inferior goods and cut up parts and processed chicken are normal goods haidacher et al the shift in chicken prod uct mix away from whole birds should have increased the preference for total chicken in this article two related questions are ad dressed first do consumers allocate expendi tures among meats by animal origin or by product type second does disaggregation of meat into products in a meat demand model give insight into the causes of structural

demand for collective food safety standards in 2007 leading members of the u s fresh tomato industry responded to pressure from the u s food and drug administration regarding the industry s long history of poor food safety outcomes and adopted a set of standards for production practices related to food safety at all levels of the fresh tomato supply chain adherence to these standards was required under a federal marketing order that applied to essentially all tomatoes grown in florida the california tomato farmers cooperative whose members produced the vast majority of fresh tomatoes grown in california also required that its members adopt these standards the collective food safety standards for fresh tomatoes closely resemble the requirements of the u s food safety modernization act fsma produce safety rule so the collective adoption of these standards provides an excellent case study to illustrate the possible effects of fsma implementation on demand i assess the hypothesis that demand for tomatoes from florida and california increased following the adoption of standards for food safety practices by growers in those states relative to demand for tomatoes from other regions my analysis demonstrates essentially no evidence that demand for fresh tomatoes responded positively to the implementation of collective food safety practices

the demand for cigarettes in japan a two stage budgeting procedure was used to estimate demand elasticities for cigarettes in japan cigarettes were disaggregated into japanese u s and rest of world testing for habit effects was performed at both stages results indicated that habit effects occur for total expenditures on cigarettes but not between types

the short run shutdown decision when output price and initial wealth are random abstract this paper extends the research of hori 1983 and chavas 1985 by investigating the short run shutdown decision of the competitive firm under output price risk when initial wealth is random central to this endeavor are the results of doherty and schlesinger 1986 and doherty et al 1987 concerning global and local risk premia under multiple sources of risk using a local risk premium two novel and intuitively pleasing results are reported here the reservation price of the shutdown decision varies a according to the diversification of the decision maker s cash flows and b if the decision maker exhibits dara then according to the depth of decision maker s pockets

risk taking with additive and multiplicative background risks abstract we examine the effects of background risks on optimal portfolio choice examples of background risks include uncertain labor income uncertainty about the terminal value of fixed assets such as housing and uncertainty about future tax liabilities while some of these risks are additive and have been amply studied others are multiplicative in nature and have received far less attention the simultaneous effect of both additive and multiplicative risks has hitherto not received attention and can explain some paradoxical choice behavior we rationalize such behavior and show how background risks might lead to seemingly u shaped relative risk aversion for a representative investor

price formation of fish an application of an inverse demand system inverse demand systems explain price variations as functions of quantity variations they have properties analogous to those of regular demand systems there are very few examples of their empirical application in part this is due to lack of data for which price is the decision variable and the quantity given the case of fish landed at belgian sea ports appears to suit an inverse demand system well a rotterdam variant of such a system in estimated allais interaction intensities have been derived and show a reasonable pattern

optimal hedging in a futures market with background noise and basis risk abstract this paper examines hedging behavior in an incomplete market in which there exists an unhedgeable and uninsurable independent background risk in the case of a basis risk that satisfies the regressibility property the background risk might be partly endogenous background risk generally has an ambiguous effect on the optimal hedge ratio however if preferences exhibit standard risk aversion and the background risk is fully exogenous the qualitative effect of the added background risk is determinate and depends on the direction of any bias in the futures market in all cases the speculative component of the hedge ratio is reduced in the presence of background risk when the background risk is a basis risk and futures prices exhibit normal backwardation this qualitative effect need not hold and it depends in part on the direction of regressability for spot and futures prices

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

the benefit function approach to modeling price dependent demand systems an application of duality theory in this article we advocate more extensive use of the benefit function in specifying price dependent or inverse demand models we demonstrate how duality theory may be used to establish the interrelationships between the marshallian or hicksian inverse demands and luenberger s adjusted price functions allowing estimable inverse demands to be derived directly from a benefit function we estimate two systems of inverse demands for japanese quarterly fish consumption results indicate that the procedures and methods employed here appear promising and may prove beneficial for quantity and welfare analysis when modeling systems of inverse demand functions copyright 2009 oxford university press

accounting for changes in tastes health concerns are thought by many to have shifted consumption away from red meats though econometric evidence is mixed testing for structural change is difficult especially when one time series is used for both estimating demand equations and testing their stability specification errors may suggest a shift where none has occurred using nonparametric demand analysis we find that meat consumption patterns in the united states and australia can be explained using only relative prices and expenditures only imposing particular functional forms can reverse the conclusion suggesting that specification errors in econometric demand studies can account for findings of taste changes

experiencing fuel poverty coping strategies of low income households in vienna austria abstract until the present day research on fuel poverty focussing on the point of view of those concerned is few and far between the present paper aims at filling this gap analysing experiences with and behavioural responses to fuel poverty it examines the day to day energy situation of households which are poor at risk of poverty and or suffering from fuel poverty in a case study conducted in the austrian capital vienna qualitative interviews provide the data for investigating the relevant factors in causing fuel poverty among those bad housing conditions outdated appliances financial problems and provide a basis for discussion about the respective behavioural strategies of the people concerned the results show that the ways of handling this problematic situation vary greatly and that people follow different strategies when it comes to inventing solutions for coping with the restrictions and finding ways of satisfying at least a part of their basic energy needs nonetheless it also clearly surfaces that the scope of action is limited in many cases which in turn only supports the claim that changes in the overall conditions are essential

estimating energy conservation patterns of greek households abstract this paper develops an empirical model to investigate the main determinants of household energy conservation patterns in greece employing cross section data in the empirical analysis household energy conserving choices models are employed using a discrete and a latent trait variable respectively as a dependent variable the results show that socio economic variables such as consumers income and family size are suitable to explain differences towards energy conservation preferences in addition the results suggest that electricity expenditures and age of the respondent are negatively associated with the number of energy conserving actions that a consumer is willing to adopt finally other variables such as environmental information feedback and consciousness of energy problems are characteristics of the energy saver consumer by evaluating consumer s decision making process with regards to energy conservation measures we are able to formulate and propose an effective energy conservation framework for greece an energy policy framework is among the main prerequisites not only to achieve sustainable development but also to maintain consumers quality of life

decomposition and additivity in price dependent demand systems price dependent inverse demand functions theoretical discussions of price dependent systems are provided by weymark and anderson this paper further explores the theory of price dependent systems providing two new theoretical results first there are symmetric and nonsymmetric decompositions of the quantity effect on prices second direct and indirect additivity have different implications for price dependent systems both theoretical results are tested with data on agricultural products

an inverse demand system for u s composite foods a comment in a recent article in this journal huang summarized the theoretical basis of inverse demand systems and estimated a set of price flexibilities for u s aggregate food groups following anderson attention focused on the theoretical constraints on compensated and uncompensated flexibilities these constraints are analogous to the familiar general restrictions of standard demand theory homogeneity cournot aggregation engel aggregation and slutsky relations however huang neglected to record another aspect of the dual nature of inverse and quantity dependent demand systems the property demonstrated by a number of authors including anderson and houck that the matrix of price elasticities can be derived by inverting the matrix of flexibilities this duality is important to note because it provides a link between inverse and direct demand systems and so allows all the elasticities and flexibilities to be computed given the values of budget shares once either set of parameter values has been estimated moreover the derivation of elasticities provides an additional check on whether estimates obtained from an inverse de

who buys and who sells options the role of options in an economy with background risk abstract in this paper we derive an equilibrium in which some investors buy call put options on the market portfolio while others sell them since investors are assumed to have similar risk averse preferences the demand for these contracts is not explained by differences in the shape of utility functions rather it is the degree to which agents face other non hedgeable background risks that determines their risk taking behavior in the model we show that investors with low or no background risk have a concave sharing rule i e they sell options on the market portfolio whereas investors with high background risk have a convex sharing rule and buy these options journal of economic literature classification numbers d52 d81 g11 g13

putting risk in its proper place this paper examines preferences toward particular classes of lottery pairs we show how such concepts as prudence and temperance can be fully characterized by a preference relation over these lotteries if preferences are defined in an expected utility framework with differentiable utility the direction of preference for a particular class of lottery pairs is equivalent to signing the nth derivative of the utility function what makes our characterization appealing is its simplicity which seems particularly amenable to experimentation

estimating structural change with smooth transition regressions an application to meat demand this paper explores the role of structural change in systems of demand equations specifically we adapt the time varying regression framework of lin and terasvirta 1994 which in turn is related to the dynamic smooth transition models introduced by terasvirta 1994 unlike previous efforts at modeling structural change in demand systems we do not impose the nature of the change to be monotonic several non monotonic alternatives are considered an application is presented using the almost ideal inverse demand system iaids applied to u s meat demand data 1960 2004 results show the importance of modeling structural change and that moreover the best fitting model is associated with a form of symmetric non monotonic structural change

generational welfare under a climate change policy with induced innovation we develop a climate economy model with generational heterogeneity and the potential for climate policy induced technological change we use the model to assess the distributional implications of climate policies and of policy designs which recycle generated revenues to finance research and development r d we model only innovation in the energy generated per unit of fossil fuels so the quantitative results we derive are small our emphasis is on the distributional impacts of redistributing climate policy rents to enhance r d we show that while investments of climate policy rents to accelerate innovation are likely to be welfare improving as long as significant market failures exist they are also likely to exacerbate the distributional inequities created across generations by climate change policies the political feasibility of climate policies may be harmed by rent transfers to r d as these transfers can increase the costs borne by agents alive today while increasing benefits to generations born far into the future

an inverse demand analysis with introduction of quality effects an application to spanish consumption of fruit and vegetables this article analyzes consumer preference for fruit and vegetables when by using time series with socioeconomic characteristics of households there can be seemingly unobserved quality effects which are increased by aggregation the changes in spanish demand for fresh and processed fruit and vegetables over the period 1987 2000 are discussed following previous tests and analyses quantities are taken as predetermined and prices as matching the offer conditions thus quality effects based on the nutritional and or health value of the product are estimated from the error terms associated with the functions of the unit values quality variables are introduced as taste shifters in the inverse demand system laitinen theil model the results show the positive effects of quality differences on the normalized price for the group of products through own quality flexibilities and the negative effects between fresh and processed products through cross quality flexibilities

the structure of food demand interrelatedness and duality this paper presents a new empirical demand system which mitigates the effects of multicollinearity while facilitating the measurement of interrelatedness duality theory is used to derive the inverse demand functions using data on fourteen food items a complete set of demand equations is estimated in both quantity and price dependent forms the model is used to test for the theoretical restrictions of homogeneity additivity and negativity as well as the habit formation hypothesis a comparison is made between these results and those of brandow and george and king

optimal insurance against climatic experience an optimal insurance contract against a climatic risk is derived in the presence of an uninsurable and dependent aggregate production risk the optimaldesign depends on the stochastic dependency between both sources of uncertainty and on the producer s attitude towards risk especially on his prudent behavior rationalweather insurance purchasing decisions are al so derived the prudent producer responds to actuarially fair weather insurance by increasing his exposure towards risk the u s multiple peril crop insurance program in which indemnity payments are based on the producer s individualyiel ds has been disappointing in that premiums have not been sufficient to cover indemnity payments and administrative costs this failure has induced the u s government to promote alternative insurance policies since 1993 the risk management agency has offered areayield contracts under its group risk plan in selected counties skees black and barnett another alternative is to base the indemnity on a weather index such as rainfall or temperature this policy was proposed in the past by sanderson but has failed to gain acceptance among policy makers the difficulties of rainfall insurance were a subject of debate in australia e g bardsley abey and davenport quiggin 1986 patrick the recent development of weather based instruments on financialmarkets known as weather derivatives for which the payoff depends on the cause of risk rather than on its effect on yield provide new opportunities for covering exposure to unfavorable weather events the objective of this article is threefold first a stochastic production function affected by a climatic risk and by an aggregate production risk where both sources of risk are stochastically dependent is de

substituting one risk increase for another a method for measuring risk aversion abstract this paper defines the rate of substitution of one stochastic change to a random variable for another it then focuses on the case where one of these changes is an nth degree risk increase and the other is an mth degree risk increase where n m 1 the paper shows that the rate of substitution for these two risk increases can be used to provide a broader definition and two additional characterizations of the nth degree ross more risk averse partial order the implications for local intensity measures of nth degree risk aversion are also examined the analysis organizes the existing results as well as generates new ones

on the consumer value of complementarity a benefit function approach the article develops a conceptual model of the consumer value of complementarity and illustrates its usefulness in an application to fisheries complementarity arises when some goods have a positive effect on the marginal value of other goods we propose a measurement of the value of complementarity based on the benefit function our econometric analysis of fish consumption in italy examines these issues with special attention given to dynamics our results show that while short run fish demand is characterized by substitution relationships complementarity does develop in the intermediate run and in the long run copyright 2007 oxford university press

testing restrictions on a model of japanese meat demand tests for quasi separability net substitutability and perfect substitutability are developed and implemented on an almost ideal demand system model of the japanese meat sector the data set satisfies both symmetry and homogeneity there is evidence of net complimentarity between chicken and dairy beef and chicken and pork the tests indicate that japanese wagyu beef is considered a separate commodity to both imported beef and dairy beef the results also indicate that fish can be treated as separable in the japanese meat demand system

risk aversion and the choice between risky prospects the preservation of comparative statics results most results in what can be termed the comparative statics of risk aversion are obtained when there is only one source of uncertainty the primary example which originally motivated the definition of risk aversion is that more risk averse people are willing to pay a higher premium for insuring against risk it is known that the results do not generally carry over when there is another source of uncertainty the paper develops conditions under which comparative statics results are robust against the introduction of additional sources of uncertainty

an inverse demand system for u s composite foods reply elasticity matrix the approach he uses for verification however is conceptually and empirically inadequate first hicks has systematically treated the inverse demand and defined q complements and q substitutes of the antonelli matrix in contrast to the pcomplements and p substitutes of the well known slutsky matrix in ordinary demand as shown in deaton and muellbauer p 57 the antonelli matrix and slutsky matrix are closely linked they are generalized inverses of each other conceptually if one intends to verify the dual nature of a demand system one should focus on the generalized inverse relationships between the antonelli and slutsky matrices rather than using young s intuitive approach by comparing the estimated price flexibilities with the derived demand elasticities moreover young s demand elasticity matrix is derived from a constructed uncompensated price flexibility matrix that departs from the functional form specified in huang s inverse demand system i know of no theoretical basis to verify the inverse demand system by using young s derived demand elasticity matrix that is obviously outside the framework of the initial model specification for the inverse demand system second in general the empirical demand elasticity and price flexibility matrices obtained from certain well known estimation procedures are not the reciprocal of one another in a statistical sense because the two sets of regression lines differ from one another in an ordinary demand system the sum of residuals is minimized along the quantity axis whereas the sum of residuals is minimized along the price axis in an inverse demand system the problem was discussed in houck who summarized some earlier studies and concluded a the reciprocal of the direct price flexibility is not in general the same as the direct price elasticity and b the reciprocal of the price flexibility is absolutely less than the true elasticity if there are discernible cross effects with other commodities thus young s demand elasticity matrix which is computed as the reciprocal of a derived uncompens ted price flexibility matrix has limited practical use because the elasticity matrix may not represent the true demand structure as reflected from the sample observations perhaps a statement from waugh pp 29 30 best addresses this point i prefer to use the p ice flexibilities themselves rather than their reciprocals if for any reason the elasticity of demand is wanted i would prefer to use the other regression equations using quantities as the dependent variables