politics growth and inequality in rural china does it pay to join the party abstract economic reform is often constrained because rank and file bureaucrats responsible for implementation have vested interests that oppose change drawing on an unusual longitudinal survey data set for a representative rural county in northern china we show an alternative positive scenario consistent with the presence of an implicit performance based incentive contract that ties the household incomes of local officials to market liberalization increases in consumer demand and the provision of local public goods the mechanisms appear to be tolerated as the fruits of growth are shared fairly equitably thus allowing implementation of a politically and economically self reinforcing reform process

government policy under price uncertainty a source of volatility in illegal immigration this paper provides an alternative explanation for why illegal immigration can exhibit substantial volatility we develop a model economy where migrants make decisions in the face of uncertain border enforcement and transfers from the host country the uncertainty is extrinsic a sunspot and arises due to ambiguity regarding government policy the sunspot manifests itself as uncertainty in the commodity price of money immigration volatility stems from both the trade off between the marginal benefits and costs transfers and enforcement to migrating and the existence of a sunspot finally we examine the impact of changes in government policies on migration levels resume politique gouvernementale quand il y a incertitude des prix une source de la volatilite de l immigration illegale ce texte propose une explication de rechange de la volatilite substantielle de l immigration illegale on developpe un modele d economie ou les immigrants prennent leurs decisions sur la base d une appreciation incertaine de la vigueur de la police des frontieres et des transferts qu on peut attendre du pays hote l incertitude est extrinseque comme les taches solaires elle emerge de l ambiguite des politiques publiques la tache solaire se manifeste dans le prix de la monnaie en termes de biens la volatilite de l immigration emerge a la fois de la relation d equivalence entre les avantages et les couts difficultes aux frontieres marginaux a la migration et l existence d une tache solaire a exploiter enfin on examine l impact des changements dans les politiques publiques sur les niveaux d immigration

fickle consumers durable goods and business cycles abstract this paper develops a three sector dynamic general equilibrium model with the specific aim of evaluating the role of consumer durables in the generation and propagation of business cycles the model displays indeterminacy at commonly considered realistic parameter restrictions and basically constant returns to scale if calibrated at modest increasing returns to scale the sunspots driven model version produces a close match to moments of aggregate u s data journal of economic literatureclassification numbers e00 e32

uniqueness and indeterminacy on the dynamics of endogenous growth abstract in this paper we study the dynamics of endogenous growth both in the model of lucas and in a generalization that incorporates a labor leisure choice we characterize the regions of the parameter space that give rise to unique equilibria as well as the regions that yield a continuum of equilibria with positive growth rates we find that such multiple equilibria exist for empirically very plausible parameters in particular when the lucas model is modified to incorporate endogenous labor journal of economic literature numbers e00 e3 o40

a bayesian evaluation of an efficiency wage model with indeterminacy this paper provides a quantitative assessment of a general equilibrium economy with non walrasian labour markets indeterminacy in the economy does not require production externalities or increasin

capacity utilization under increasing returns to scale abstract this paper overcomes an important objection against the empirical relevance of the benhabib farmer model as a potential account of actual business cycle fluctuations this is attributable to an elasticity effect and a returns to scale effect of capacity utilization these effects are closely related to the empirical puzzles that capital appears to play an insignificant role in explaining cyclical movements in output and that the estimated labor elasticity appears to be larger than labor s share due to these effects multiple equilibria and persistent fluctuations can easily occur in a growth model for externalities mild enough so that the aggregate labor demand curve is downward sloping analyses show that the propagation mechanism generated by capacity utilization under mild increasing returns is capable of explaining the periodic patterns of u s business cycles documented by watson journal of economic literature classification numbers e32 e22 c52

sunspots and the business cycle in a finance constrained economy abstract this paper examines the cyclical properties of a finance constrained economy populated by two classes of households with heterogeneous preferences and featuring social increasing returns to scale the model exhibits indeterminacy for externalities mild enough so that the labor demand curve is downward sloping furthermore simulation results show that endogenous fluctuations driven by expectations are quantitatively relevant in opposition to standard real business cycles and sunspot models with single type of households our finance constrained economy reveals to be able to mimic both an acyclical pattern of the real wage and strong procyclical movements of aggregate consumption journal of economic literature classification numbers e2 e32

multilateral productivity comparisons when some outputs are undesirable a nonparametric approach multilateral productivity comparisons of firms producing multiple outputs some of which are undesirable are obtained by making two modifications to the standard farrell approach to efficiency measurement the restriction that production technology satisfy strong disposability of outputs is relaxed to allow for the fact that undesirable outputs may be freely disposable and the efficiency measures are modified to allow for an asymmetric treatment of desirable and undesirable outputs performance measures that satisfy these requirements are calculated as solutions to programming problems the methodology is applied to a sample of mills producing paper and pollutants

two sector growth models with productive public goods equilibrium in determinacy author affiliation been lon chen institute of economics academia sinica 128 academia road section 2 taipei 11529 taiwan e mail bchen econ sinica edu tw corresponding author shun fa lee department of industrial economics tamkang university 151 ying chuan road tamsui taipei county 25137 taiwan e mail alphalee mail tku edu tw acknowledgment we are grateful to two anonymous referees and an editor for constructive comments and to participants in several workshops for valuable comments and suggestions in earlier versions of the paper 1 introductionmodels of economic growth with multiple equilibrium paths offer an explanation as to why we often observe diverse growth performances among countries with similar economic environments a central question is under what conditions is it possible to establish local indeterminacy in this paper we study a lucas 1988 human capital based growth model and investigate whether there are multiple equilibrium paths and thus local equilibrium indeterminacy in the neighborhood of a balanced growth path equilibrium indeterminacy in existing two sector human capital based growth models emerges based upon two mechanisms one of the mechanisms is differential factor tax rates initiated in the work of bond wang and yip 1996 and followed by that of raurich 2001 the other mechanism is sector specific externalities pioneered in the work of benhabib and farmer 1996 in an exogenous growth model and followed by the work of benhabib meng and nishimura 2000 and mino 2001 in endogenous growth models ben gad 2003 combined the two mechanisms these two mechanisms establish local indeterminacy when the mechanisms cause the factor intensities at the social perspective and those at the private perspective to reverse the purpose of this paper is twofold first we argue that once productive public goods are considered the two existing mechanisms are not robust in creating local indeterminacy then we take into account congestion in public services so a two sector model with the two existing mechanisms can generate local indeterminacy our purpose is motivated by the following in the existing models with sector specific externalities or distorted factor taxes there is either no government spending or if the government spending is taken into account only consumptive public spending and government transfers are considered recently a number of authors have documented the positive impact of public expenditure upon the productivity of private capital 1 when there is productive public spending the production technology is externally enhanced by the public goods productive public goods as an engine of economic growth have received much attention in endogenous growth models in particular a number of studies in this line of modeling strategy have obtained local indeterminacy 2 thus it is important to determine whether or not differential factor tax rates and sector specific externalities create local indeterminacy in models with productive public goods however as we will find the two existing mechanisms no longer create local indeterminacy in a two sector growth model with productive public goods unless the difference in the factor tax rates and the gap in the sector specific externalities are implausibly large intuitively productive public goods introduce the effects of intersectoral externalities they offset the effects of the two existing mechanisms that would have otherwise reversed the factor intensity at the social viewpoint from the factor intensity at the private viewpoint as a consequence the two existing mechanisms are not robust in the establishment of local indeterminacy in models with productive public goods this paper then introduces the congestion effect in the use of public goods an effect offsetting the effect from public spending to salvage the two existing mechanisms

introduction to a general equilibrium approach to economic growth abstract endogenous growth theory has had some success in explaining the observed data related to the process of economic growth however the results of the models in this literature are typically very sensitive to their micro economic structure it is therefore important to understand how the growth process behaves under more general specifications of such features as the number of commodities the number and preferences of consumers the factors of production and the financial and information structures in other words valuable insights can be gained by integrating growth theory into the framework of general equilibrium theory the summary of the papers in this volume focuses on seven issues that are crucial to this integration and highlights the contributions of the papers to the resolution of these issues journal of economic literature classification numbers c61 d50 d90 f43 o30 o41

local determinacy with non separable utility this paper introduces general formulations for both technology with input substitution and non separable utility compatible with balanced growth and stationary worked hours into a benchmark rbc model it is shown that intertemporal substitution and input substitutability lead to local determinacy and rule out stationary sunspot equilibria when labor demand is downward sloping in contrast with recent results obtained under the assumption of separable utility the main intuition behind this result is shown to work as follows in contrast with separable preferences increasing the elasticity of intertemporal substitution in consumption necessarily implies decreasing the elasticity of constant consumption labor supply when utility is non separable and concave which affects unfavorably the occurrence of local indeterminacy

markets and inequality in rural china parallels with the past after 30 years of egalitarian rhetoric and collectivist practice the introduction of market reforms to rural china entailed obvious risks for policymakers increases in average income might not compensate for the inequality generated by market based income determination concern for this possibility may help explain the slow relaxation of administrative control over the allocation of resources like land in order to evaluate the effect of market reforms we could begin by comparing the current gini coefficient to that which prevailed during the collective era see louis putterman 1993 for early evidence yet this might tell us little about the specific impact of market organization on income determination government policies such as collective land ownership mobility restrictions and fertility limits cloud the picture furthermore industrialization though itself a product of the reforms has changed the basis upon which individuals earn income isolating a pure effect of market organization is a difficult but important task since many current chinese policies reflect an ambivalent attitude toward decentralized market based resource allocation we offer a few suggestions on issues that need to be considered as this evaluation proceeds by exploring current inequality in rural northeast china from the vantage point of the 1930 s we begin with the observation that the level of inequality is similar in 1995 and 1935 and moreover that most contemporary inequality exists within villages as was the case in the 1930 s we then focus on two institu

tracing externalities as sources of indeterminacy abstract this paper offers further inquiry into sources of indeterminacy in general equilibrium we take a more agnostic approach than previous work as we allow for a more general interpretation of externalities in particular we identify the origin of scale economies as being from either labor or capital we find that in the one sector model it is primarily the externalities associated with labor that generate the result however in the two sector model indeterminacy can be ultimately traced back to the externalities from capital in the investment sector

divergence in economic performance transitional dynamics with multiple equilibria abstract special pairs of the utility functions and the production functions are used in this paper to uncover the transitional dynamics in a lucas model of growth the main findings are as follows a continuum of equilibria exists if the external effect of human capital in goods production is sufficiently large the process of lagging behind catching up with and overtaking that we often observe in the world economy can be explained finally some equilibrium paths are shown to have such complicated patterns that the dynamics conjectured by lucas are too simple to be correct journal of economic literature classification numbers o41 c61

aggregate instability under balanced budget consumption taxes a re examination we re examine the destabilizing role of balanced budget fiscal policy rules based on consumption taxation using a one sector model with infinitely lived households we consider a specification of preferences derived from jaimovich 2008 14 and jaimovich and rebelo 2009 15 which is flexible enough to encompass varying degrees of income effect when the income effect is not too large we show that there exists a laffer curve which explains the multiplicity of steady states and that non linear consumption taxation may destabilize the economy promoting expectation driven fluctuations if the elasticity of intertemporal substitution in consumption is sufficiently larger than one and the tax rate is counter cyclical with respect to consumption numerical illustrations also show that consumption taxation may be a source of instability for most oecd countries for a wide range of structural parameters configurations we finally prove the robustness of our conclusions if we consider a discrete time setup

trade structure and belief driven fluctuations in a global economy abstract this paper constructs a dynamic two country model with country specific production externalities and inspects the presence of equilibrium indeterminacy under alternative trade structures it is shown that the presence of belief driven economic fluctuations caused by equilibrium indeterminacy is closely related to the specified trade structure if investment goods are not internationally traded and international lending and borrowing are allowed then indeterminacy arises in a wider set of parameter space than in the corresponding closed economy by contrast either if both consumption and investment goods are traded in the absence of international lending and borrowing or if only investment goods are traded with financial transactions then the indeterminacy conditions are the same as those for the closed economy counterpart

trade and indeterminacy in a dynamic general equilibrium model this study investigates the dynamic behavior of multiple countries economic activities in a two good two factor model in which factors are internationally immobile and countries technologies are subject to sector specific external effects

real business cycles and the animal spirits hypothesis abstract we calibrate a quantitative equilibrium macroeconomic model with an aggregate technology that is subject to increasing returns and show that this model may display fluctuations at business cycle frequencies even when there are no shocks to the fundamentals of the economy these fluctuations are due to the self fulfilling beliefs of investors which we call animal spirits we compare the impulse response functions predicted by our model and by two other more standard models with a four variable vector autoregression on u s data our animal spirits economy is the most successful of the three at matching broad features of the dynamic responses in the data journal of economic literature classification numbers e00 e3 e32

introduction to the symposium on growth fluctuations and sunspots confronting the data the papers in this symposium demonstrate the theoretical as well as the empirical plausibility of indeterminacy and of sunspots in equilibrium models with infinitely lived agents they depart from the standard competitive framework because of the presence of externalities or of monopolistic competition some focus on business fluctuations while others address long run growth the second part of the introduction presents a general unifying framework to identify the structure that is common to the papers of the symposium journal of economic literature classification numbers e00 e3 o40 c 1994 academic press inc

production function regressions returns to scale and externalities a number of recent papers have used simple linear regressions in an attempt to identify market structure the extent of returns to scale and possible external effects in u s manufacturing industries the results obtained from these regressions have important implications for several branches of modern macroeconomics as a result the macro literature frequently cites specific numerical evidence from caballero and lyons 1992 and hall 1990 which suggests that there are quantitatively significant increasing returns to scale or external effects in u s manufacturing in contrast it is the argument of this paper that this evidence is not convincing the most robust evidence suggests that the typical u s manufacturing industry displays constant returns with no external effects on the other hand there is significant heterogeneity across industries

market distortions and local indeterminacy a general approach we provide a methodology to study the role of market distortions on the emergence of indeterminacy and bifurcations it consists in introducing general specifications for the elasticities of the crucial functions defining the aggregate equilibrium dynamics of the model this allows us to study how market distortions influence the range of values for the elasticity of input substitution under which local indeterminacy and bifurcations occur highlighting the main channels and classes of distortions responsible for indeterminacy most of the specific market imperfections considered in the related literature are particular cases of our framework comparing them we obtain several equivalence results in terms of local dynamic properties applying this methodology to the woodford 30 framework we find that distortions in the capital market per se do not play a major role we further show that for empirically plausible values of elasticity of substitution between inputs indeterminacy requires a minimal degree of distortions this degree seems to be high under output market distortions while with labor market distortions the required degree is empirically plausible

environmental efficiency with multiple environmentally detrimental variables estimated with sfa and dea abstract the objective of this paper is to estimate comprehensive environmental efficiency measures for dutch dairy farms the environmental efficiency scores are based on the nitrogen surplus phosphate surplus and the total direct and indirect energy use of an unbalanced panel of dairy farms we define environmental efficiency as the ratio of minimum feasible to observed use of multiple environmentally detrimental inputs conditional on observed levels of output and the conventional inputs we compare two methods for the calculation of efficiency namely stochastic frontier analysis sfa and data envelopment analysis dea this paper reveals the strengths and weaknesses for estimating environmental efficiency of the methods applied both sfa and dea can estimate environmental efficiency scores the mean technical efficiency scores output oriented sfa 89 dea 78 and the mean comprehensive environmental efficiency scores sfa 80 dea 52 differ between the two methods sfa allows hypothesis testing and the monotonicity hypothesis is rejected for the specification including phosphate surplus dea can calculate environmental efficiency scores for all specifications because regularity is imposed in this method

multilateral productivity comparisons with undesirable outputs in a recent paper in this journal caves christensen and diewert i982 hereafter ccd derive what they term multilateral superlative indexes for use in the comparison of output input and productivity across economic entities the indexes derived are distinguished both by transitivity and by a high degree of characteristicity a term introduced by dreschler i 973 to refer to the degree to which the weights used in a comparison are specific to the observations being compared though the indexes are presented with the application to multicountry comparisons of output input and productivity foremost in mind the authors note that they may be useful in a number of other contexts as well i e firms and industries time series and pooled time series and cross section all of the applications mentioned or implied however have this in common they involve the comparison of productive entities all of whose outputs are sold for positive prices this is not surprising of course since most products with which economists are concerned possess this characteristic however it does render incomplete or potentially misleading the comparison of productive entities which produce significant amounts of undesirable outputs such as water and air pollution since the list of such entities is rather long and includes industries critical to many national and regional economies e g chemicals paper petroleum refining copper and steel the omission of this factor from consideration may be a matter of some importance 2 consider for example a comparison of the productivity of the steel industries

urban biased policies and rising income inequality in china since the start of economic reforms in 1978 china has experienced the largest increase in income inequality of all countries for which comparable data are available according to the world bank 1997 china s gini coefficient increased from 28 2 in 1981 to 38 8 in 1995 based on official survey data another study that used internationally standard definitions for incomes estimated china s gini ratio at 38 2 in 1988 and 45 2 in 1995 a level that already surpassed many developing economies in asia azizur khan and carl riskin 1998 are these income inequality changes the consequence of institutional reforms that replaced egalitarian rewards with work incentives employment contracts and labor mobility this paper uses household survey data collected by china s state statistical bureau ssb to investigate the sources and causes of this rising inequality by analyzing gini ratios and generalized entropy measures i decompose the overall inequality into three sectoral components i inequality within rural areas ii inequality within urban areas and iii sectoral disparity the data indicate that increases in rural urban income differentials have been the driving factor behind the rising overall inequality in china i argue that urbanbiased policies and institutions including labor mobility restrictions welfare systems and financial policies of inflation subsidies and investment credits to the urban sector are responsible for the long term rural urban divide and the recent increases in disparity

indeterminacy in a dynamic small open economy abstract we show that even under socially constant returns to scale indeterminacy i e continuum of dynamic general equilibrium paths converging to a common steady state can arise in a dynamic small open economy with production externalities and endogenous time preferences in which production is incompletely specialized

coexistence of money and interest bearing securities abstract a random matching model with money is used to study the nominal yield on small denomination bearer safe discount securities issued by the government there is always one steady state with matured securities circulating at par and for some parameters another with them circulating at a discount in the former a necessary and sufficient condition for a positive nominal yield on not yet matured securities is exogenous discriminatory treatment of them by the government in the latter the post maturity discount on securities induces a deeper pre maturity discount even without such discriminatory treatment

market imperfections and the instability of open economies in the presence of small market imperfections the transitional dynamics of an open economy can become indeterminate in that there exist an infinite number of equilibrium paths converging to a unique steady state in contrast to closed economy models in the open economy such indeterminacy can arise independently of the curvature of the utility function in consumption the results suggest that with market imperfections open economies can be subject to fluctuations caused by randomness unrelated to the economy s fundamentals

endogenous business cycles with financial frictions this paper uncovers a series of belief shocks that drive the u s economy from both financial markets data and a financial accelerator model with self fulfiling prophecies indeterminacy in the eco

monopolistic competition business cycles and the composition of aggregate demand abstract we develop a dynamic general equilibrium model with monopolistically competitive firms and endogenous markups and show the possibility of equilibria with persistent fluctuations driven by self fulfilling revisions of expectations for some parameter values such fluctuations are characterized by time series properties similar to those observed in u s postwar business cycles in contrast with the existing literature our results do not rely on the presence of increasing returns or nominal rigidities a key ingredient of the model is the link between markups and the composition of aggregate demand some econometric evidence on the latter is also reported journal of economic literature classification number d43 d58 e32

determinacy of equilibrium in an overlapping generations model with heterogeneous agents abstract we study the determinacy of perfect foresight equilibrium near a steady state in an overlapping generations model with production and both altruistic and non altruistic agents having distinct utility functions the proportion of each type of consumer is exogenously given our main results show that when there are positive stationary bequests some standard assumptions on preferences and technology rule out local indeterminacy for any positive value of the proportions in the particular case of a separable utility function for altruistic agents we prove that the determinacy property does not depend on the size of the infinite lived altruistic dynasties journal of economic literature classification numbers c62 d91 o21 o41

the generalized malmquist index and capacity utilization change an application to the italian manufacturing 1989 1994 several indices of plant capacity utilization based on the concept of best practice frontier have been proposed in the literature fare et al 1992 de borger and kerstens 1998 this paper suggests an alternative measure of capacity utilization change based on generalized malmquist index proposed by grifell tatje and lovell in 1998 the advantage of this specification is that it allows the measurement of productivity growth ignoring the nature of scale economies afterwards this index is used to measure capacity change of a panel of italian firms over the period 1989 94 using data envelopment analysis and then its abilities of explaining the short run movements of output are assessed

the relation between price and marginal cost in u s industry an examination of data on output and labor input reveals that some u s industries have marginal cost well below price the conclusion rests on the finding that cyclical variations in labor input are small compared with variations in output in booms firms produce substantially more output and sell it for a price that exceeds the costs of the added inputs the paper documents the disparity between price and marginal cost where marginal cost is estimated from annual variations in cost it considers a variety of explanations of the findings that are consistent with competition but none is found to be completely plausible

poverty trap and global indeterminacy in a growth model with open access natural resources abstract in this paper we use global analysis techniques to analyze an economic growth model with environmental negative externalities giving rise to a three dimensional dynamic system the framework is the one introduced by wirl 1997 53 the dynamics of our model admits a locally attracting stationary state p 1 which is in fact a poverty trap coexisting with another stationary state p 2 possessing saddle point stability global dynamical analysis shows that under some conditions on the parameters if the initial values of the state variables are close enough to the coordinates of p 1 then there exists a continuum of equilibrium trajectories approaching p 1 and one trajectory approaching p 2 therefore our model exhibits global indeterminacy since either p 1 or p 2 can be selected according to agent expectations moreover we prove that conditions guaranteeing the attractivity of p 1 also imply the saddle point stability of p 2 however when p 1 is not attractive numerical simulations show the possible existence of one or two limit cycles an attractive one surrounding p 1 and one endowed with a two dimensional stable manifold surrounding p 2

impatience pollution and indeterminacy abstract this paper examines an equilibrium growth model in which production activities generate environmental pollution that has a negative welfare effect and in which individual households subjective discount rate is a function of individual consumption which is internal to each household and of total pollution which is an external factor to the individual agents it is shown that there may exist multiple steady states and that the dynamic equilibrium may display indeterminacy depending on the properties of the discount rate function the pollution capital relationship in production technology and the pollution consumption relationship in instantaneous utility the long run effects of tighter environmental policy are subsequently examined and the results are also found to be dependent on the above factors

intersectoral externalities and indeterminacy abstract we consider a two sector economy with positive intersectoral external effects and nonincreasing social returns we show that if the discount factor is close to 1 then local indeterminacy may be obtained with mild market imperfections moreover with additional conditions when is made smaller the steady state becomes totally unstable and quasi periodic cycles along which equilibrium paths are indeterminate may appear through a hopf bifurcation this will be proved even if the investment good is capital intensive at the private level while this condition guarantees local determinacy in the sector specific case journal of economic literature classification numbers c62 e32 o41

capacity utilization in a generalized malmquist index including environmental factors a decomposition analysis productivity measures ignoring environmental effects may give misleading information on total productivity growth further business cycles in the form of capacity utilization may significantly influence productivity measures we develop an overall malmquist productivity index and decompose changing efficiency rates into a contribution from environmental factors capital and capacity utilization our new combined capacity utilization element contributes to the literature in that it also takes into account the restriction for producing negative externalities empirical applications illustrate that the choice of inputs influences the overall productivity measure and its decomposition into efficiency changes and technical changes and the capacity utilization element

rethinking inequality decomposition with evidence from rural china we examine inequality decompositions by income source and describe a general regression based approach for decomposing inequality the approach provides an efficient and flexible way to quantify the roles of variables like education and age in a multivariate context we illustrate the method using survey data from china the empirical results demonstrate how sharply different conclusions can emerge for different decomposition rules we explain how these differences reflect the treatment of equally distributed sources of income and we discuss implications for how results from inequality decomposition are interpreted a renewed interest in economic growth political economy and the distribution of income has again placed the economics of income inequality firmly on the academic research agenda relatively poor performances in latin america have been contrasted with success stories in east asia and recent evidence on the changing income distributions of emerging economic giants like china has

comparing four models of aggregate fluctuations due to self fulfilling expectations abstract this paper compares four equilibrium business cycle models with increasing returns to scale production technologies that allow for aggregate fluctuations due to self fulfilling expectations necessary and sufficient conditions for the existence of stationary sunspot equilibria are derived numerical examples demonstrate that the degree of increasing returns necessary for the existence of stationary sunspot equilibria lies in the upper range of available empirical estimates the paper also shows that persistent fluctuations are not a necessary property of these four models when the only source of fluctuations is changes in people s expectations about the future path of the economy journal of economic literature classification numbers e32 d43

stability global dynamics and markov equilibrium in models of endogenous economic growth abstract this paper studies the local and global dynamics of two sector models of endogenous growth with economy wide external effects and taxes on capital and labor the local analysis classifies the parameter space depending on the number of stationary solutions and local stability of equilibria the global analysis shows that if taxes are within certain bounds and the size of the external effects on the average level of human capital is smaller than the share of physical capital the equilibrium path is monotone and therefore a continuous markov equilibrium can be constructed

indeterminacy and sunspots with constant returns recently there has been a renewed interest in the possibility of indeterminacy and sunspots or alternatively put in the existence of a continuum of equilibria that arises in dynamic economies with some market imperfections much of the research in this area has been concerned with the empirical plausibility of indeterminacy in markets with external effects or with monopolistic competition and which exhibit some degree of increasing returns while the early results on indeterminacy relied on relatively large increasing returns and high markups more recently benhabib and farmer 1996a showed that indeterminacy can also occur in two sector models with small sector specific external effects and very mild increasing returns

capital labor substitution and equilibrium indeterminacy empirical evidence indicates that the elasticity of capital labor substitution for the aggregate u s economy is below unity in contrast the existing indeterminacy literature has mostly restricted attention to a cobb douglas production function which imposes a substitution elasticity exactly equal to unity this paper examines the quantitative relationship between capital labor substitution and the conditions needed for equilibrium indeterminacy and belief driven fluctuations in a one sector growth model with variable capital utilization the substitution elasticity has little quantitative impact on the minimum degree of increasing returns needed for indeterminacy however when capital utilization is constant a below unity substitution elasticity sharply raises the minimum degree of increasing returns in this version of the model lower substitution elasticities impose a higher adjustment cost on labor hours that cannot be mitigated by shifts in the capital utilization rate overall our results show that empirically plausible departures from the cobb douglas specification can make indeterminacy more difficult to achieve

indeterminacy under constant returns to scale in multisector economies recently there has been a renewed interest in indeterminacy or alternatively put in the existence of a continuum of equilibria in dynamic economies that exhibit some market imperfections one of the primary concerns of this literature has been the empirical plausibility of indeterminacy which arises in markets with external effects or with monopolistic competition often coupled with some degree 10 of increasing returns

balanced budget rules distortionary taxes and aggregate instability a traditional argument against a balanced budget fiscal policy rule is that it amplifies business cycles by stimulating aggregate demand during booms via tax cuts and higher public expenditures and by reducing demand during recessions through a corresponding fiscal contraction this paper suggests an additional source of instability that may arise from this type of fiscal policy rule it shows that within the standard neoclassical growth model a balanced budget rule can make expectations of higher tax rates self fulfilling if the fiscal authority relies heavily on changes in labor income taxes to eliminate short run fiscal imbalances calibrated versions of the model show that indeterminacy occurs for income tax rates that are empirically plausible for the u s economy and other group of seven countries

on the minimum degree of returns to scale in sunspot models of the business cycle abstract bennett and farmer j econ theory 93 2000 118 claim that the degree of increasing returns to scale required for indeterminacy in a single sector growth model can be lowered by allowing for preferences that are non separable in consumption and leisure in this paper i show that the example they give violates concavity in a more general setup which does not impose specific functional forms on utility i prove that there are no concave utility functions compatible with indeterminacy if the elasticity of scale is lower than the inverse of the labor share in production

indeterminacy and increasing returns abstract we investigate properties of the one sector growth model with increasing returns under two organizational structures capable of reconciling the existence of aggregate increasing returns with competitive behavior by firms the first involves input externalities the second involves monopolistic competition we show for parameters in close accord with recent literature on real business cycles that the model displays an indeterminate steady state that can be exploited to generate a model of business fluctuations driven by self fulfilling beliefs in our first class of models growth is generated by exogenous increases in factor productivity in the second class the marginal product of capital is large enough for endogenous growth journal of economic literature classification numbers e00 e3 o40

indeterminacy with capital utilization and sector specific externalities abstract we show that the minimum level of increasing returns to scale needed for indeterminacy in a two sector real business cycle model with variable capital utilization and sector specific externalities is extremely small moreover this value is lower than that required in several of our model s predecessors and is quite easily within the range of empirical plausibility

intersectoral external effects multiplicities indeterminacies abstract this contribution focuses on the scope for indeterminacies that originate from global capital stock externalities in a reference two sector growth model a set of sufficient conditions for local indeterminacies and oscillations is established and builds upon a new class of intersectoral dependency in competitive economies the uniqueness of the steady state is also questioned and conditions for global indeterminacies are delimited the underlying features of preferences and sectoral production technologies are assessed in this paper it is shown that the principal attribute of a two sector environment i e a non linear production possibility frontier directly underlies indeterminacies it is the influence of external effects on the relative price of the investment good that leads to these phenomena a key role being detected in this perspective for external effects in the consumption good sector

multiple equilibria in dynamic rational expectations models a critical review abstract multiple equilibria are a ubiquitous feature of dynamic rational expectations models researchers have been divided on the implications of this phenomenon some have viewed this as a reflection of reality and a possible explanation of a wide range of economic phenomena others have suggested various selection criteria for choosing one among the many equilibria this paper reviews the major selection criteria that have been proposed and through application to three well known models shows under what circumstances one might expect them to choose the same or different equilibria in addition this paper proposes a new criteria based on the limit of finite horizon equilibria and investigates its relation to the other criteria

unemployment and the business cycle abstract this paper presents a dynamic general equilibrium model where labor effort is imperfectly observable and there is unemployment in equilibrium in contrast to shirking models in the efficiency wage literature detected shirkers are not dismissed instead they face a monetary punishment because they forgo an increase in their compensation estimated versions of the model can generate the high variation in employment and low variation of real wages observed over the business cycle and are consistent with existing qualitative evidence about the responses of the economy to fiscal policy shocks

unemployment and indeterminacy abstract using an efficiency wage model we examine the relationship between indeterminacy and unemployment insurance it is shown that the less unemployment insurance is the more likely equilibrium is to be indeterminate equilibrium can be indeterminate even without externalities or increasing returns which makes a sharp contrast to the recent literature on indeterminacy our result is based on the fact that the no shirking condition with marginal utility of wealth kept constant is downward sloping when income insurance is not perfect

indeterminacy and fiscal policies in a growing economy this paper studies the dynamic properties of a standard one sector model of endogenous growth with inelastic labor supply in which capital taxes are used to nance public production and consumption services the government is benevolent and chooses its tax policy by taking into account the decentralized competitive equilibrium within this second best setup we establish conditions for multiple balanced growth paths in conjunction with indeterminacy of transitional dynamics the mechanism for global and local indeterminacy is a simple combination of public production services that provide production externalities to private rms and hence cause a wedge between private and social returns public consumption services that provide direct utility to households and endogenously chosen distorting taxes

firm dynamics and markup variations implications for sunspot equilibria and endogenous economic fluctuations this paper analyzes how the interaction between firms entry and exit decisions and variations in competition gives rise to self fulfilling expectation driven fluctuations in aggregate economic activity and in measured total factor productivity tfp the analysis is based on a dynamic general equilibrium model in which net business formation is endogenously procyclical and leads to endogenous countercyclical variations in markups this interaction leads to indeterminacy in which economic fluctuations occur as a result of self fulfilling shifts in the beliefs of rational forward looking agents when calibrated with empirically plausible parameter values and driven solely by self fulfilling shocks to expectations the model can quantitatively account for the main empirical regularities characterizing postwar u s business cycles and for 65 of the fluctuations in measured tfp

non separable utility function and indeterminacy of equilibrium in a model with human capital abstract this paper shows that non separability of utility function may produce indeterminacy of equilibrium in the representative agent models with labor leisure choice by using a two sector model of endogenous growth we show that if the utility function is not additively separable between consumption and leisure indeterminacy may emerge even in the absence of external increasing returns

indeterminacy in a model with aggregate and sector specific externalities abstract we present a two sector dynamic general equilibrium model with both sector specific and aggregate externalities we find that including the aggregate effects allows for a trade off between the sizes of the two types of externalities needed for indeterminacy

indeterminacy in a small open economy ramsey growth model abstract this paper presents a small open economy version of the j benhabib and r e a farmer 1996 j monet econ 37 421 443 two sector optimal growth model with production externalities it is shown that indeterminacy is considerably easier to obtain under a regime of perfect world capital markets than in the closed economy variant furthermore the result is not dependent on a high labor supply elasticity since that input is fixed the paper also examines a variant which takes into account external borrowing constraints and it is shown that the qualitative results on indeterminacy remain basically unaffected by this extension journal of economic literature classification numbers e32 f12

indeterminacy in a model with sector specific externalities abstract i examine a model with two sectors of production consumption and investment in the model indeterminacy of equilibria results due to the presence of small sector specific externalities in production in fact i find that indeterminacy results with a certain minimum value of the externality in the investment sector even with no externality in the consumption sector i find that the indeterminacy properties of the model vary depending on the form of the utility function for example with utility that is logarithmic in consumption these properties are completely independent of the value of the externality in the consumption sector

multiplicity of equilibria and fluctuations in dynamic imperfectly competitive economies this paper investigates two aspects of the macroeconomic consequences of market participation decisions of imperfectly competitive firms first can there exist multiple pareto ranked nash equilibria indexed by the level of market participation that is can there exist both thin and thick market equilibria second can the variations in the degree of competition that stem from shocks to preferences and technologies help to understand observed fluctuations in the macroeconomy this paper is part of an ongoing research program intended to understand the macroeconomic implications of the coordination of economic activities in model economies without complete and or competitive markets in such environments the fundamental theorems of welfare economics do not apply and it is quite possible for the economy to have multiple pareto ranked equilibria low welfare equilibria represent situations in which individual agents acting noncooperatively are unable to successfully coordinate their activities and reach a preferred equilibrium this is termed a coordination failure in equilibria of this type there are 100 bills lying on the sidewalk but it takes the effort of more than one individual i e coordination to reap these gains our model relates to two important strands of the literature on coordination failures first are model economies in which the deviation from the arrow debreu paradigm arises from the market power of sellers see for example oliver hart 1982 in these models the number of active firms is usually taken to be exogenous our contribution is in part to allow the number of firms to be determined by the costs and benefits of market participation this allows us to relate the degree of competition in the economy to variations in fundamentals like technology and preferences in addition to exogenous but self fulfilling variations in expectations second our model represents another example of a participation externality in which the gains to participating in an activity such as entering a market depend on the number of other agents participating as well the papers by peter diamond 1982 chatterjee 1988 and m pagano 1987 1988 explore market participation externalities of a different variety in diamond s work these externalities arise through the matching process while chatterjee and pagano 1987 explore the risk reducing effects of large markets similar externalities are found in the industrial organization literature on networks as in michael katz and carl shapiro 1985 the model explored in this paper highlights a participation externality arising from the interaction of imperfectly competitive firms 1 tdiscussants robert e hall stanford university peter diamond mit olivier j blanchard mit

on the stability of the two sector neoclassical growth model with externalities we study a class of two sector growth models with sector specific externalities in which one sector produces consumption and the other sector produces investment the novelty is that investment allocated to the consumption sector is an imperfect substitute for investment allocated to the investment sector we show analytically that in this case local indeterminacy near the steady state is impossible for every empirically plausible specification of the model parameters more specifically we show that a necessary condition for local indeterminacy is an upward sloping aggregate labor demand curve in the investment sector which requires a counterfactual strength of the externality we show numerically that an elasticity of substitution of plausible size implies determinacy near the steady state these findings differ sharply from the standard result for two sector models that if the investments allocated to the two sectors are perfect substitutes then local indeterminacy occurs for a wide range of plausible parameter values

progressive taxation and macroeconomic in stability with productive government spending abstract this paper systematically examines the interrelations between a progressive income tax schedule and macroeconomic in stability in an otherwise standard one sector real business model with productive government spending we analytically show that the economy exhibits indeterminacy and sunspots if and only if the equilibrium after tax wage hours locus is positively sloped and steeper than the household s labor supply curve unlike in the framework with useless public expenditures a less progressive tax policy may operate like an automatic stabilizer that mitigates belief driven cyclical fluctuations moreover our quantitative analysis shows that this result is able to provide a theoretically plausible explanation for the discernible reduction in us output volatility after the tax reform act of 1986 was implemented

nonseparable preferences frisch labor supply and the consumption multiplier of government spending one solution to a fiscal policy puzzle this paper proposes a theoretical explanation of the positive consumption multipliers of government spending often found in the data the explanation requires two ingredients first labor demand expands e g prices are sticky second general nonseparable preferences over consumption and leisure should be such that the two goods are substitutes that is frisch labor supply elasticity is lower than the constant consumption elasticity this implies that constant consumption labor supply shifts left existing empirical evidence on the relative magnitudes of the two elasticities supports this hypothesis the parametric conditions under which the result occurs are consistent with restrictions of concavity and noninferiority of consumption and leisure

taylor rules and macroeconomic instability or how the central bank can preempt sunspot expectations this paper derives new results on the effects of employing taylor rules in economies that are subject to real market imperfections such as production externalities policies which respond to output movements can block sunspot equilibria that arise from the increasing returns the paper also finds that rules which should be chosen avoided in perfect market environments often yield ensure multiple unique rational expectations solutions in alternative settings therefore exact knowledge on the degree of market imperfection may be integral for robust policy advice

the environmental kuznets curve and equilibrium indeterminacy abstract we illustrate that the existence of the environmental kuznets curve ekc could be the result of indeterminacy of equilibria in a simple neoclassical growth model with a single environmental externality in households utility function and with public abatement we characterize the condition on the parameters in preferences and in the pollution technology leading to local indeterminacy of equilibrium estimates of the crucial parameters of the model using data from economies that display the ekc satisfy the theoretical indeterminacy condition we find that the presence of abatement activities is not a necessary condition for indeterminacy equilibria and hence an ekc to arise on the other hand non separability of consumption and pollution in the utility function is crucial

the malmquist productivity index and plant capacity utilization a new decomposition of the malmquist productivity index is proposed to account for changes in plant capacity utilization using a primal non parametric specification of technology the malmquist index is decomposed into technical efficiency change variations in plant capacity utilization and frontier shifts it provides an alternative to the available methods of incorporating capacity utilization changes into measures of productivity change such measures are based on parametric and in many cases dual technology specifications moreover they typically do not allow for technical inefficiency

nonseparable preferences fiscal policy puzzles and inferior goods nonseparable preferences over consumption and leisure can generate an increase in private consumption in response to government spending as found in the data in a frictionless business cycle model however the conditions on preferences required for these result to obtain hold if and only if the consumption good is inferior similarly positive co movement of consumption and hours worked occurs if and only if either consumption or leisure is inferior

irrigation agricultural performance and poverty reduction in china the overall goal of our paper is to understand the impact that irrigation in china has had on grain production and incomes in general and income and poverty alleviation in poor areas in particular the paper seeks to meet three objectives first we describe the relationship among irrigation status yields and household crop revenue second we seek to understand the magnitude and nature of the effect that irrigation has on yields and crop revenue finally we seek to understand the impact that irrigation has on incomes in poor areas our analysis shows that irrigation contributes to increases in yields for almost all crops and in income for farmers in all areas the importance of crop income in poor areas and the strong relationship between crop revenue and irrigation provides evidence of the importance of irrigation in past and future poverty alleviation in china we also show that in the majority of the villages that invested in new irrigation returns are positive even after accounting for increases in capital and production costs 2005 elsevier ltd all rights reserved

business cycles in international historical perspective business cycle models seek to answer the question of why economies go through cycles of recession and recovery or boom and bust any theory of the business cycle makes two sorts of claims what shocks are most important in disturbing the economy and what economic structure is necessary for propagating these shocks for example one common explanation of business cycles begins with monetary shocks and then seeks to explain why monetary shocks are not purely neutral as neoclassical theory would have it and instead have real effects at least in the short term early models in this vein were often implicitly or explicitly based on the proposition that markets do not clear continuously early equilibrium real business cycle theories instead emphasized the importance of real shocks especially to technology which may cause socially efficient fluctuations even when markets are always in equilibrium more recent models have attempted to marry the equilibrium approach to macroeconomics with the substantive keynesian ideas that money is not neutral and that economic fluctuations are costly new keynesian theories of the business cycle admit the possibility of a number of economic shocks including monetary and technology shocks but then focus on explaining how nominal price rigidities within the economy can turn these shocks into recessions or booms other models show that business cycles driven by keynesian animal spirits are consistent with rigorous microfoundations and rational expectations seeking empirical evidence for and against these various approaches we turn business cycle theories loose on perhaps the greatest macroeconomic laboratory

preferences endogenous discount rate and indeterminacy in a small open economy model abstract this paper characterizes indeterminacy conditions for a small open economy business cycle model the preferences are the utility function commonly used in closed economy models in the literature coupled with an endogenously determined discount rate it shows that indeterminacy can occur under arbitrarily small external effects independently of the intertemporal elasticities in consumption and labor supply

non linear dynamics in the infinite time horizon model there are two important reasons why economic growth theory became again a popular field during the last 15 years the first one is that recently developed growth theoretic models capture more aspects of economic growth than the models used in the fifties and sixties nowadays models of economic growth try to explain technological progress and innovations whereas the purpose of traditional models was mainly to describe the process of capital accumulation

introduction to sunspots in macroeconomics abstract this introduction provides an overview of the three papers included in this symposium and highlights their contribution to the literature journal of economic literature classification numbers e00 e3 o40

externalities and nonlinear discounting indeterminacy abstract this paper studies a one sector model with externalities and nonlinear discounting loosely if the bellman equation for a standard model is written as v k max u v k then the bellman equation for our model is written as v k max u b v k for some concave function b our model assumes that period utility u is linear in consumption and leisure and the production function exhibits increasing social returns and nonincreasing private returns we establish the existence of a steady state under fairly general conditions and give a necessary and sufficient condition for local indeterminacy we show that regardless of the degrees of increasing returns and externalities there exists a discount function b such that indeterminacy arises we also show that in a certain sense as the degree of increasing returns converges to zero the variability of discounting the second derivative of b required to generate indeterminacy also converges to zero numerical examples are provided the main results are also extended to a one sector model with fixed labor supply

indeterminacy home production and the business cycle a calibrated analysis abstract in this paper i present a business cycle model with one market sector that produces a standard good and another that produces a non market or home good the model can have multiple equilibria and therefore cycles driven only by self fulfilling expectations with low externalities to market production in particular an upward sloping aggregate labor demand as e g in farmer and guo j economic theory 63 1994 42 72 is not required for indeterminacy the effect of technology shocks is also studied in all cases the time series that are generated have properties that are comparable to the real us postwar series

issue in pollution control interplant cost differences and economies of scale debate on interplant pollution control cost differences focuses on the question of whether a system of taxes or transferable discharge permits should require those plants with low treatment costs to control a higher share of effluents another issue under debate is whether those industries with a large minimum size may be effectively barred by pollution control requirements evidence of the inefficiency of present institutional arrangements is shown by studying production function estimations of 30 pulp and paper mills in wisconsin and michigan a more efficient reallocation of pollution control resources could be effected with more market oriented regimes 58 references 6 tables dck

indeterminacy and endogenous fluctuations with arbitrarily small externalities abstract in this paper we study the occurrence of local indeterminacy endogenous fluctuations and bifurcations in a simple non monetary 2 period overlapping generations economy in which people do not consume when young with capital labor substitution elastic labor supply and productive externalities we show that in contrast with the local dynamics generated by many one sector models of capital accumulation studied in the current literature local indeterminacy and therefore stationary stochastic equilibria driven by self fulfilling beliefs sunspots as well as multiple stationary equilibria are pervasive phenomena when the elasticity of input substitution is large and when the size of externalities is arbitrarily small we also demonstrate that when externalities are arbitrarily small the cobb douglas production function often used for its analytical tractability in many models is structurally unstable it is always associated with uniqueness of the steady state but any small perturbation of the elasticity of input substitution leads to the existence of two stationary equilibria which may be close to each other with the consequence that the dynamics may be qualitatively very different from those originated in the unit elasticity case journal of economic literature classification numbers e32 c62

alternative methods for environmentally adjusted productivity analysis abstract advances in the productivity with which food is produced around the world have been made possible through the intensive use of industrial inputs that have important environmental impacts like standard measures of macroeconomic performance however commonly used measures of agricultural efficiency and productivity account only for marketed commodities and inputs but ignore the environmental effects of these production processes a more complete analysis of trends in the sector s productivity requires the use of models that incorporate these environmental effects to provide better measures of the contributions of the sector from the social point of view this paper compares the conceptual merits and empirical performance of alternative approaches that can be employed for this purpose input distance functions output distance functions nonparametric methods and index number approaches each of the methods has relative strengths and weaknesses the methods are empirically illustrated using data from the canadian pulp and paper industry

can environmental taxation stimulate growth the role of indeterminacy in endogenous growth models with environmental externalities abstract this paper examines the effects of environmental taxation on long run growth in an infinitely lived representative agent model of endogenous growth with negative pollution externalities the novelty of this paper lies in its investigation of how the long run effects of environmental taxes are affected by the possible emergence of indeterminacy of equilibria in romer s 1986 increasing returns and long run growth journal of political economy 94 1002 1037 learning by doing model with endogenous labor supply the analysis shows that environmental taxation generally enhances harms long run growth when the balanced growth path is indeterminate determinate

education and allocative efficiency household income growth during rural reforms in china this paper studies the contribution of schooling to rural income in china during factor market liberalization between 1986 and 1995 the relaxation of controls permitted farm households to reallocate productive inputs from agriculture to nonagricultural activities it is hypothesized that education facilitates this adjustment panel data from sichuan province suggest that schooling enhanced the ability of farmers to devote labor and capital to nonfarm production given the evidence that less than optimum levels of these inputs were allocated to nonagricultural uses during the transition the expansion of nonfarm activities contributed significantly to household income growth

indeterminacy with no income effect preferences and sector specific externalities abstract we examine a two sector real business cycle rbc model with sector specific externalities in which household utility exhibits no income effect on the demand for leisure unlike in the one sector counterpart indeterminacy can result with sufficiently high returns to scale in the investment sector moreover the smaller the labor supply elasticity the lower the level of externalities needed for indeterminacy this finding is the opposite of that in all existing rbc based indeterminacy studies finally in contrast to previous sunspot driven two sector rbc models our economy is able to match the stylized facts that sectoral labor inputs are positively correlated and consumption is procyclical

indeterminacy and endogenous growth with social constant returns abstract by examining endogenous growth models with physical and human capital this paper demonstrates that indeterminacy of equilibrium may emerge even in the absence of increasing returns to scale the model we examine consists of two production sectors one produces final goods and the other produces new human capital both sectors use physical as well as human capital it is assumed that while the private technology of the representative firm in each sector exhibits decreasing returns to scale the social technologies of both sectors satisfy constant returns because of the presence of sector specific externalities we demonstrate that a small divergence between private and social factor intensity conditions generates indeterminacy of equilibrium rather easily even under constant returns intuitive implications of the source of indeterminacy and a generalization of the model are also presented journal of economic literature classification numbers d90 o40 o41