learning to believe in sunspots a number of authors have shown that competitive economies may possess sunspot equilibria that is rational expectations equilibria in which purely extrinsic uncertainty affects equilibrium prices and allocations 2 such results demonstrate that it does not require a lack of faith in the rationality of market participants to believe that competitive markets may be subject to purely speculative fluctuations driven solely by expectations 3 the mere existence of sunspot equilibria as solutions to a system of marketclearing conditions however might not be judged sufficient to indicate that competitive markets with rational participants could ever be subject to speculative instability the sunspot equilibria represent states of affairs in which agents act differently in the case of different realizations of the sunspot variable and it is rational for each agent to do so but it might be thought unlikely that the beliefs of all the participants in the market could ever come to be coordinated so as to bring about an equilibrium of that kind it is rational to believe that sunspots convey information about future states of affairs once the economy is in a sunspot equilibrium but why would rational agents ever begin to believe in such a thing so as to create the conditions under which the belief is rational in order to address such a question one must go beyond the mere statement of the conditions for equilibrium and discussion of what states of affairs satisfy them one must specify an explicit dynamic process according to which the beliefs of agents adjust when out of equilibrium any exercise of this kind is necessarily unsatisfactory as there is no univocal meaning for the postulate of rational behavior outside of an equilibrium it may well be the case that

an assessment of the current structure of food demand in urban china we evaluate the current structure of food demand in urban china by using household expenditure survey data from five provinces two complementary analyses are undertaken first an aggregate analysis based on a fractional logit model is used to examine how households allocate food expenditures across the food at home fah and food away from home fafh categories this is followed by a disaggregated analysis of how households allocated their fah expenditures across 12 commodity categories a quadratic almost ideal demand system quaids is used we find evidence of significant food purchase substitution and complementarity

semiparametric estimation and consumer demand this paper considers the implementation of semiparametric methods in the empirical analysis of consumer demand the application is to the estimation of the engel curve relationship and uses the british family expenditure survey household composition is modelled using an extended partially linear framework this is shown to provide a useful method for pooling non parametric engel curves across households of different demographic composition c 1998 john wiley sons ltd

zero expenditures and the estimation of engel curves over the brief interview periods typical of budget surveys such as the u k family expenditure survey households recorded expenditures are liable to be misleading indicators of their underlying consumption most starkly a household may not be observed to purchase commodities that it nevertheless consumes this paper considers the implications of such measurement errors for the estimation of demand systems and derives a consistent estimator for the special case of linear engel curves

uncovering financial market expectations of inflation this paper seeks to uncover market expectations of inflation from the joint dynamics of nominal interest rates and observed inflation i postulate 1 the existence of a stable vector autoregression in unobserved variables and 2 efficient financial markets the estimation procedure requires no further structural assumptions the econometrician need not observe all the information used by agents in forming forecasts or all the variables that influence real interest rates i find no empirical evidence that economic recessions are correlated with inflation forecast errors however postwar recessions are associated with ex ante real interest rates that are twice the postwar average

rational addiction and the effect of price on consumption legalization of such substances as marijuana heroin and cocaine surely will reduce the prices of these harmful addictive drugs by the law of the downward sloping demand function their consumption will rise but by how much according to conventional wisdom the consumption of these illegal addictive substances is not responsive to price however conventional wisdom is contradicted by becker and murphy s 1988 theoretical model of rational addiction the becker murphy b m analysis implies that addictive substances are likely to be quite responsive to price in this paper we summarize b m s model of rational addiction and the empirical evidence in support of it we use the theory and evidence to draw highly tentative inferences concerning the effects of legalization of currently banned substances on consumption in the aggregate and for selected groups in the population addictive behavior is usually assumed to involve both reinforcement and tolerance reinforcement means that greater past consumption of addictive goods such as drugs or cigarettes increases the desire for present consumption but tolerance cautions that the utility from a given amount of consumption is lower when past consumption is greater these aspects of addictive behavior imply

stability of cycles and expectations the actual dynamics of an economy depends on how agents forecast the future at every date as a function of their information on the past while possibly learning the structure of their environment we show in the case of a one dimensional state variable that under mild conditions on expectations functions a given cycle with perfect foresight that is stable in the actual dynamics is stable in a fictitious backward perfect foresight dynamics we exhibit a restricted class of expectations functions for which the converse is true

a microeconometric model analysis of us consumer demand for alcoholic beverages this paper discusses the specification and estimation of a two stage budgeting consumer demand for alcoholic beverages using 1987 88 usda individual and household food consumption survey data the upper level first stage budgeting decision is modelled via a gamma tobit model the lower level second stage budgeting allocates alcohol expenditure via a synthetic demand system for beer spirits and wine the synthetic system is constructed via a normalized linear combination of the level rotterdam cbs and an aids equivalent model data on individual three day alcohol consumption from the individual food intake survey are used for analysis while price and household characteristics information are obtained from the house hold food intake survey the results show that some individual and household characteristic variables as well as economic variables have significant impacts on consumer demand for alcoholic beverages

an empirical analysis of alcohol addiction results from the monitoring the future panels in a panel of young adults we find that alcohol consumption is addictive in the sense that increases in past or future consumption cause current consumption to rise the positive and significant future consumption effect is consistent with the hypothesis of rational addiction the long run price elasticity is approximately 60 larger than the short run price elasticity and twice as large as the elasticity that ignores addiction thus a tax hike policy to curtail consumption or abuse may not have a favorable cost benefit ratio unless it is based on the long run price elasticity jel 110

interest rate dynamics and the term structure a note abstract the brennan and schwartz two factor model of the term structure is re examined using constant duration long term yields in place of the fluctuating duration consol yields and additional stability is achieved in the empirical estimations the model is then reformulated to examine more closely the relationship between changes in long and short rates of interest it is found that movements in the short rate of interest are related to movements in the long rate the spread between the long and short rates and the prior movement in the long rate the model is then tested for its out of sample predictive ability and found to possess a modest amount of predictive power

cross section estimation of us demand for alcoholic beverage a flexible limited dependent variable model is used to examine us demand for alcoholic beverage parameterization and distributional assumptions of the double hurdle model cragg 1971 and tobit model tobin 1958 are rejected findings suggest that price income household composition and other characteristics have significant effects on alcohol consumption income and own price elasticities are significant but relatively small

the engel curve for alcohol and the rank of demand systems this paper shows that the quadratic shape of the engel curve for alcohol is induced by preference heterogeneity between drinkers and abstainers in a japanese data set with controlling the heterogeneity it is shown that the engel curve for alcohol slopes monotonically downwards for drinkers and that the probability of being a drinker is an increasing function of total expenditure these two relationships generate a quadratic shape for the engel curve for alcohol other goods in this data set appear to have nearly linear engel curves so if the alcohol engel curve for drinkers is also linear then after controlling for this preference heterogeneity the rank of this demand system would be two copyright 2006 john wiley sons ltd

the effects of the gender of children on expenditure patterns in rural china a semiparametric analysis we analyse expenditure patterns for rural china focusing on differences between families with boys and girls the sample includes more than 5000 nuclear families from 19 chinese provinces following the existing literature we estimate engel curves for food and for alcohol a typical adult good we use a flexible partially linear specification and allow for endogeneity of total expenditures the results are similar to those of other studies not providing much evidence of gender differentials we then focus on the decision to send a child to school and on the budget share spent on educational goods using both parametric and semiparametric estimates we find evidence that boys are more often sent to school and that expenditures on a boy that goes to school are larger than for a school going girl of the same age copyright 2005 john wiley sons ltd

sample selectivity models for away from home expenditures on wine and beer the impact of household characteristics on away from home wine and beer weekly expenditures in the usa is examined results imply that higher income households without children and headed by an older white and higher educated individual spend more on wine away from home than do others on the other hand smaller midwestern and western households without children and headed by a younger and white individual spend more on beer away from home than do others

equilibrium models displaying endogenous fluctuations and chaos abstract this paper surveys current developments in dynamic general equilibrium theory concerned with conditions under which endogenous fluctuations are possible existing contributions are divided into two classes the larger one consists of models with a unique perfect foresight equilibrium while the second includes models where equilibrium is indeterminate and the set of equilibria involving endogenous fluctuations includes sunspots equilibria while the two classes of models involve oscillations of different natures and with different policy implications we show that both are consistent with optimizing behavior and competitive equilibrium

a theory of rational addiction we develop a theory of rational addiction in which rationality means a consistent plan to maximize utility over time strong addiction to a good requires a big effect of past consumption of the good on current consumption such powerful complementarities cause some steady states to be unstable they are an important part of our analysis because even small deviations from the consumption at an unstable steady state can lead to large cumulative rises over time in addictive consumption or to rapid falls in consumption to abstention our theory also implies that cold turkey is used to end strong addictions that addicts often go on binges that addicts respond more to permanent than to temporary changes in prices of addictive goods and that anxiety and tensions can precipitate an addiction

modelling milk purchasing behaviour with a panel data double hurdle model in this study the double hurdle model typically used in cross sectional data is extended to panel data structures the new double hurdle model can account not only for the censored nature of commodity purchases but also for the dynamics of the purchase process in this model a flexible error structure is assumed to account for state dependence and household specific heterogeneity in the empirical application for milk purchases it is found that generic advertising increases the probability of market participation as well as the purchase quantity and incidence temporal dependence is also found in both purchase and participation equations

the demand for alcohol in the united kingdom using the aids model we show that there exists for the uk a stable long run relationship between expenditure shares on beer cider spirits and wine alcohol prices total alcohol expenditure and a range of non economic variables relating to advertising licensing the employment social class and demographic characteristics of consumers and climate our estimates of key price and income elasticities generally lie between those found from other time series studies which exclude most of these non economic variables and those found from cross section studies which generally include them however the restrictions required for separability homegeneity and symmetry although not those for perfect price aggregation are decisively rejected

an exploration of the eductive justifications of the rational expectations hypothesis this paper examines justifications of the rational expectations hypothesis that rely on the analysis of the agents mental forecasting educing activity which involves forecasting the forecasts of others etc the corresponding concept of eductive learning stability based on the game theoretical concept of rationalizability is primarily used within the classical muth model conditions for coordination of beliefs are interpreted and discussed they are robust to the introduction of noise more generally eductive stability fits economic intuition on coordination stability increases when the industry product differentiation increases and when decisions are sequential and observable copyright 1992 by american economic association

semiparametric quantile engel curves and expenditure elasticities a penalized quantile regression spline approach this article estimates nonparametric engel curves and expenditure elasticities by quantile for an exhaustive set of household expenditure categories using a novel estimation approach engel curves and expenditure elasticities are vital inputs to evaluating the effects of public policies this article examines whether engel curves and expenditure elasticities evaluated for an average individual are importantly different from the engel curves and expenditure elasticities at the upper and lower quantiles

on endogenous competitive business cycles the belief that the long run equilibrium of a competitive monetary economy that does not experience any exogeneous shocks whether originating from the external environment or from policy should be modelled as a state that is stationary or perhaps growing at a constant rate seems to be deeply rooted in the mind of some economists

demographic variables in demand analysis in this paper the authors discuss five procedures for incorporating demographic variables into theoretically plausible demand systems translating scaling and the gorman reverse gorman and implicit prais houthakker procedures these five procedures are used to incorporate a single demographic variable the number of children in a household into the generalized ces demand system using household budget data for the united kingdom for the period 1966 1972 excerpt

spending on alcohol evidence from the family expenditure survey 1970 1983 this paper reports on the investigation of a model of the determination of the share of household expenditure on alcohol using fes data for the united kingdom 1970 83 i e a time series of cross sections the authors pay special attention to the occurrence of zero expenditure variations in characteristics across the population and the modeling and interpretation of the stochastic term this term is modeled using the gamma distribution replacing the normal in tobit estimated parameters indicate strong positive skewness interactions between household characteristics and expenditure propensities are important copyright 1990 by royal economic society

are frequency and intensity of participation decision bearing aspects of consumption an analysis of drinking behaviour analysing quantity consumed per period implies a restriction on decisions about how frequently and intensely to consume this quantity hypothesis is rejected based on estimated equations for the frequency and intensity of spirit consumption consequently a simultaneous equation system for frequency and intensity is estimated as they enter the budget constraint as a multiplicative term income and education levels are found to be negatively related to intensity but not frequency this may reflect differences in the shadow prices of frequency and intensity for different socioeconomic groups or heterogeneous preferences for intoxication and health distinguishing between these aspects of drinking patterns is important for the evaluation of the price responsiveness of harmful drinking restrictions on availability and the causes of inequalities in health

heterogeneous beliefs and the non linear cobweb model abstract this paper generalizes the evolutionary cobweb model with heterogeneous beliefs of brock and hommes 1997 econometrica 65 1059 1095 to the case of non linear demand and supply agents choose between a simple freely available prediction strategy such as naive expectations and a sophisticated costly prediction strategy such as rational expectations and update their beliefs according to an evolutionary fitness measure such as past realized net profits it is shown that for generic non linear monotonic demand and supply curves the evolutionary dynamics exhibits rational routes to randomness that is bifurcation routes to strange attractors occur when the traders sensitivity to differences in evolutionary fitness increases

short term interest rates as predictors of inflation comment in this note i raise two questions regarding fama s results the first is whether similar tests based on an information set somewhat broader than the past history of consumer price inflation will support fama s findings the second is whether given fama s data and model his results fully support his hypotheses the answer to both questions is no if one accepts the accuracy of the data during fama s sample period the current monthly rate of change of consumer prices ct is significantly related to the three previous monthly rates of change of

statistical models for zero expenditures in household budgets household budget surveys are an important source of data on consumer s expenditure not just for individual consumers but also for estimating national aggregates however it is a widespread finding that for certain commodities most notably tobacco and alcohol the estimate from the household survey falls short of the known consumption total calculated with some confidence from data on production imports exports and excise duties for example in the british family expenditure survey with which we shall largely be concerned total tobacco expenditure was underestimated in 1976 by 21 percent see kemsley redpath and holmes 1980 p 51 much of this understatement together with that on alcohol is thought to occur because of the design of the survey which excludes many persons amongst whom consumption of such items is thought to be atypically high e g prisoners hoteliers and their residents merchant seamen even so the possibility remains that some of the understatement is due to various types of misreporting by households included in the survey in this paper we consider a model in which the standard tobit specification tobin 1958 is supplemented by the operation of a simple binary censor the tobit model is essentially a linear regression model in which non positive observations of the dependent variable are replaced by zero we take this specification as our starting point but add a second censoring process that randomly replaces a fraction of the observations generated by the tobit model bv zeroes the combined model can serve as a representation of several types of

consumption taxes in a life cycle framework are sin taxes regressive we construct measures of tax incidence over the life cycle and compare these measures to traditional measures based on annual data annual measures of the incidence of taxes on consumption goods may differ from life cycle measures for three reasons first annual measures of income reflect transitory components which should have smaller effects on consumption than permanent changes in income second income measured in a single period differs from lifetime income due to age related differences in earnings third consumption of certain items follows life cycle patterns independent of changes in income surprisingly we find that these effects cause little change in the assessment of the incidence of taxes on cigarettes for alcohol we find that a tax on its consumption is slightly less regressive when measured with respect to lifetime income than when measured with respect to annual income copyright 1995 by mit press

the demand for alcoholic beverages in spain the objective of this study is to analyze the main determinants of alcoholic beverages consumption at home data comes from the latest spanish household national survey which provides information on expenditure and quantities of different food products by household because households are interviewed only 1 week a large number of zeros have been recorded among the existing censured demand models the double hurdle dh model the purchase infrequency model and the tobit purchase infrequency model among others and after carrying out model selection tests the dh model has been finally estimated all expenditure elasticities are positive corresponding the highest value to spirits own price elasticities are negative and also in this case the spirits exhibit the highest value socio economic variables also play an important role in explaining consumer purchase and consumption decisions

measuring the substitution bias in japan the demand system approach and a superlative index this study estimates the demand system using japanese micro data and calculates the cost of living index coli to assess the substitution bias in the consumer price index the estimated bias during the sample period of 1982 2000 is about 0 06 percentage points which is larger than the estimates calculated from a superlative index the difference between the coli and a superlative index can be explained with the upward movements of the average utility level in japan since the cost of living for the rich has grown more rapidly than that for the poor

a rational rank four demand system past parametric tests of demand system rank employed polynomial engel curve systems however by gorman s 1981 theorem the maximum possible rank of a utility derived polynomial demand system is three the present paper proposes a class of demand systems that are utility derived are close to polynomial and have rank four these systems nest rational polynomial demands and so can be used to test ranks up to four these systems are suitable for applications where high rank is likely such as demand systems involving a large number of goods a test of rank using this new class of systems is applied to uk consumer demand data

a double hurdle model of cigarette consumption this paper shows the importance of the double hurdle approach for modelling individuals cigarette consumption using data from the uk general household survey and argues that participation and consumption should be treated as separate individual choices the likelihood function for the full double hurdle is derived and it is shown how restrictions on the stochastic specification of the model and auxillary information which identifies ex smokers allow it to be decomposed the empirical results highlight the value of the sample separation information and the need to model starting and quitting as separate decisions

the welfare effects of alcohol taxation abstract this paper analyzes the question of how to appropriately tax alcoholic beverages at a disaggregated level using the theory of tax reform the social cost of raising revenue from different alcoholic beverages is calculated the externality associated with alcohol consumption is explicitly modeled the problem is approached by building a multistage budgeting model of expenditure which is necessitated by the lack of elasticity information at the required level of disaggregation the model is applied to a 1989 data set for ontario canada evidence for the existence of welfare improving tax changes is found

adaptive expectations coordination in an economy with heterogeneous agents abstract in this paper we study the problem of expectations coordination on the stationary state in a one dimensional economy with heterogeneous agents we consider a constant gain adaptive learning rule we allow for heterogeneity of the fundamentals and of the constant gain parameters we show that these two sources of heterogeneity may create difficulties to the process of coordination

eductive expectations coordination on deterministic cycles in an economy with identical fundamentals abstract we study expectations coordination on a deterministic cycle of period 2 by an eductive approach in which agents are concerned with forecasting the forecasts of others this approach is grounded in some common knowledge assumptions we use this approach to discuss the problem of equilibrium selection between the stationary state and a cycle of period 2 we prove that locally eductively stable cycles of period 2 can exist if agents have stationary beliefs

eductive expectations coordination on deterministic cycles in an economy with heterogeneous agents abstract in this paper we study expectations coordination on a deterministic 2 cycle by an eductive approach in which agents are concerned with forecasting the forecasts of others this approach is grounded in some common knowledge assumptions we consider an overlapping generations economy in which agents have heterogeneous utility functions we show that locally eductively stable 2 cycles can exist when agents have stationary beliefs we also show that heterogeneity may hinder eductive coordination

on the consistency of backward looking expectations the case of the cobweb in dynamic models of economic fluctuations backward looking expectations with systematic forecasting errors are inconsistent with rational behaviour in non linear dynamic models exhibiting seemingly unpredictable chaotic fluctuations however simple habitual rule of thumb backward looking expectation rules may yield non zero but nevertheless non systematic forecasting errors in a chaotic model expectational forecasting errors may have zero autocorrelations at all lags even for rational agents patterns in these forecasting errors may be very difficult to detect especially in the presence of small noise backward looking expectations are then not necessarily inconsistent with rational behaviour we investigate whether simple expectation schemes such as naive or adaptive expectations can be consistent with rational behaviour in the simplest of all non linear dynamic economic models the non linear cobweb model

quadratic engel curves and consumer demand this paper presents a model of consumer demand that is consistent with the observed expenditure patterns of individual consumers in a long time series of expenditure surveys and is also able to provide a detailed welfare analysis of shifts in relative prices a nonparametric analysis of consumer expenditure patterns suggests that engel curves require quadratic terms in the logarithm of expenditure while popular models of demand such as the translog or the almost ideal demand systems do allow flexible price responses within a theoretically coherent structure they have expenditure share engel curves that are linear in the logarithm of total expenditure we derive the complete class of integrable quadratic logarithmic expenditure share systems a specification from this class is estimated on a large pooled data set of u k households models that fail to account for engel curvature are found ro generate important distortions in the patterns of welfare losses associated with a tax increase

the demand for alcohol the differential response to price although several studies indicate that drinking is responsive to price little work has focused on whether prices have a differential effect on light moderate or heavy drinking this study examines the price responsiveness of the demand for alcohol whether heavy drinkers are less sensitive to price than light or moderate drinkers the study uses data on alcohol consumption on the 1983 national health interview survey the results indicate that both light and heavy drinkers are much less price elastic than moderate drinkers further we cannot reject the hypothesis that the very heaviest drinkers have perfectly price inelastic demands

dynamic linkages among real interest rates in international capital markets abstract short run and long run dynamic linkages among weekly real interest rates for g 10 countries are examined using a variety of time series tests these tests give special attention to the time series properties of nominal interest rates ex ante expected rates of inflation and real interest rates term structure information is used to recover a theoretically consistent measure of ex ante expected inflation in sample and out of sample granger causality tests are also examined to evaluate lead lag relationships among real interest rates the results provide strong support for well integrated markets particularly in the long run the results imply leadership roles for the us in international asset markets