Bayesian estimation of duration models: An application of the multiperiod probit model

The multiperiod probit model is presented and Bayesian estimation using the Gibbs sampler with data augmentation is described. As an empirical illustration, the multiperiod probit model is then used to estimate a duration model using employment duration data for the Canadian province of New Brunswick. Bayesian estimation with unobserved heterogeneity is shown to be a simple extension of estimation of a duration model with no unobserved heterogeneity. More importantly, perhaps, some numerical problems encountered by other authors using Maximum Likelihood are avoided.I would like to thank M. Baker, G. Koop, A. Melino and D. Poirier for helpful comments and discussions. I would also like to thank M. Baker for providing his data.     

Pooling surveys in the estimation of income and price elasticities: An application to Tunisian households

This paper presents a methodological extension of Deaton's (1990) model for estimating price elasticities, by pooling Tunisian data from several surveys to improve the inter-cluster variability of unit values which is one of the key elements used in the derivation of these elasticities. Since the surveys cover a relatively long period, possible structural changes in consumption behaviour occurring over time are accounted for by postulating that certain response coefficients of the basic model vary from one survey to the other. The own price and cross price elasticities calculated using appropriate estimates of the extended model are satisfactory both from the economic point of view of their sign and the statistical point of view of their significance and superior to those obtained using a single survey. First version received: April 2000/Final version received: June 2001 RID="*" ID="*"  The authors would like to thank Angus Deaton and anonymous referees for useful comments and suggestions.     

Comparing new Keynesian models in the Euro area: a Bayesian approach

This paper estimates and compares four versions of the sticky price New Keynesian model for the Euro area using a Bayesian approach. We find that the average duration of price contracts is between two and four quarters, while the average duration of wage contracts is estimated to be below two quarters. Both mechanisms of price and wage indexation are not important when autocorrelated price markup shocks are introduced in the model. These results are in stark contrast to Smets and Wouters (2003): when we use their priors, our estimated posterior distributions are similar to theirs, but the models’ fit to the data is worse. We are thankful to the Econometric Modelling Unit at the European Central Bank for providing us with the Euro area data. We also thank two anonymous referees for helpful suggestions. The views expressed in this paper are those of the authors and do not necessarily reflect the views of Caixa d’Estalvis i Pensions de Barcelona (“la Caixa”).     

Political Measures for Strategic Environmental Policy with External Effects

This paper investigates an environmental policy designed to reduce the emission of pollutants under uncertainty, with the agent problem as an optimal stopping problem. We first analyze the two cases in which there are one agent and two competing agents by following Ohyama and Tsujimura (2005). When we consider a model of strategic agents, we need to analyze the external economic effect that is peculiar to an agent’s environmental policy implementation. Then, to improve and resolve these external effects, we examine three alternative political measures, comprising an environmental subsidy, an environmental tax and an emission trading system. The results of the analysis indicate that the environmental subsidy and environmental tax promote environmental policy. However, they do not create an incentive to be the leader. On the other hand, an emissions trading system not only promotes environmental policy but also creates an incentive for leadership.This paper was previously circulated under the title “Political Measures for Strategic Environmental Policy with Induced Effects”. The authors would like to thank Masaaki Kijima for helpful comments. The authors would also like to thank Alistair Munro and two anonymous referees providing detailed comments and suggestions. This research was partially supported by Daiwa Securities Group Inc. The second-named author was partially supported by the Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Scientific Research (B) (2), 16310118.     

Disequilibrium and asymmetric price adjustment the case of the Swedish timber market

The major question raised in this paper is whether or not the Swedish timber market is in a state of disequilibrium. In recent discussions it has been claimed that the industry has been constrained in production because of timber shortage. In this paper I abandon the assumption of equality between demand and supply. The econometric model is based on a partial price adjustment model which allows for asymmetric adjustment. The test of equilibrium versus disequilibrium supports disequilibrium.This study was supported financially by grants from the research program private forestry at the Swedish Institute of Agricultural Engineering. I would like to thank Karl-Gustaf Löfgren for his insightful comments on earlier drafts. In addition, I would like to thank three anonymous referees for many useful suggestions.     

Existence of Nash networks in one-way flow models

This paper addresses the existence of Nash equilibria in one-way flow models in a number of different settings. In these models players form costly links with other players and obtain resources from them through the directed path connecting them. We find that heterogeneity in the costs of establishing links plays a crucial role for the existence of Nash networks. The paper also provides conditions for the existence of Nash networks in models where costs and values of links are heterogeneous. We would like to thank an anonymous referee for useful suggestions. We would also like to thank Hans Haller and participants at the AEA Meetings 2007 for helpful comments. Sudipta Sarangi acknowledges the support of NSF grant HSD-0527315 and the hospitality of CREUSET, Jean Monnet University.     

Homogeneous,heterogeneous or shrinkage estimators? Some empirical evidence from French regional gasoline consumption

This paper contrasts the performance of heterogeneous and shrinkage estimators versus the more traditional homogeneous panel data estimators. The analysis utilizes a panel data set from 21 French regions over the period 1973–1998 and a dynamic demand specification to study the gasoline demand in France. Out-of-sample forecast performance as well as the plausibility of the various estimators are contrasted.The authors would like to thank Jean-Loup Madre, Research Director at INRETS, for his assistance with obtaining the data set and the editor Robert M. Kunst and two referees for their helpful comments and suggestions. Badi H. Baltagi would like to thank the Bush Program in Economics of Public Policy for its support. An earlier version of this paper was presented at the North American Summer Econometric Society Meetings at UCLA, June, 2002.     

Threshold models for trended time series

This paper presents the theoretical development of a new threshold autoregressive model based on trended time series. The theoretical arguments underlying the model are outlined and a nonlinear economic model is used to derive the specification of the empirical econometric model. Estimation and testing issues are considered and analysed. Additionally we apply the model to the empirical investigation of U.S. GDP.This paper is the result of work carried out for the author's Ph.D. thesis. I would like to thank Hashem Pesaran for his help, encouragement and insights during the preparation of this paper. I also thank Gary Koop and Sean Holly for helpful comments. Financial assistance from the Economic and Social Research Council is gratefully acknowledged.     

Price formation in heterogeneous oligopoly

Conclusion An equilibrium price vector has been defined and its existence and function in static price formation in cases of heterogeneous oligopoly has been established. Hitherto, authors have been misled, we think, by misinterpreting the role of reaction functions, which are central to our argument. After defining and proving the existence and uniqueness of an equilibrium price vector, it is possible to construct a generalization of the wellknown equilibrium concept of the Nash-Cournot game solution. It has previously been thought that the restriction to the Cournot solution is one of the main drawbacks to using game theoretical solutions to the problem of oligopoly. We have developed a generalization of the Nash solution in order to deal with a type of reaction hypothesis which cannot be expressed in terms of the Cournot reaction function. The new set of reaction functions here introduced demonstrate conclusively that the so-called identity on a Nash and a Cournot equilibrium is only of a formal character.We would like to thank F. Delbaen, R. A. Hirschfeld and K. Okuguchi for useful comments on an earlier draft of this paper.     

The absolute health income hypothesis revisited: a semiparametric quantile regression approach

This paper uses the 1998–1999 Canadian National Population Health Survey data to examine the health–income relationship that underlies the absolute income hypothesis. To allow for nonlinearity and data heterogeneity, we use a partially linear semiparametric quantile regression model. The “absolute income hypothesis” is partially true; the negative aging effects appear more pronounced for the ill-healthy population than for the healthy population and when annual income is below 40,000 Canadian dollars. We would like to thank two anonymous referees and Baldev Raj, the editor, for useful and constructive comments and suggestions. The views expressed in this article are those of the authors and do not necessarily reflect the views of Statistics Canada. Both authors would also like to acknowledge financial support from SSHRC of Canada.     

Almost sure convergence to zero in stochastic growth models

This paper considers the resource constraint commonly used in stochastic one-sector growth models. Shocks are not required to be i.i.d. It is shown that any feasible path converges to zero exponentially fast almost surely under a certain condition. In the case of multiplicative shocks, the condition means that the shocks are sufficiently volatile. Convergence is faster the larger their volatility, and the smaller the maximum average product of capital.I would like to thank Santanu Roy, John Stachurski, Lars J. Olson, and an anonymous referee for helpful comments and suggestions. The general result in section 2 owes much to the referee’s comments on an earlier version of this paper. Financial support from the 21 Century COE Program at GSE and RIEB, Kobe University is gratefully acknowledged.     

Chaotic tatonnement

Summary Debreu's theorem on excess demand functions is used to demonstrate the possibilities of ergodic and topological chaos in a discrete-time tatonnement process with only two goods. The result is in sharp contrast with the well-known result of Arrow and Hurwicz on system stability in a continuous time model of price adjustment with two commodities.We would like to thank Professors Jess Benhabib, Richard Day, John Guckenheimer, Philip Holmes, Nicholas Kiefer and Tapan Mitra.     

A contribution to duality theory,applied to the measurement of risk aversion

This paper determines the precise connection between the curvature properties of an objective function and the ray-curvature properties of its dual. When the objective function is interpreted as a Bernoulli or cardinal utility function, our results characterize the relationship between an agent’s attitude towards income risks and her attitude towards risks in the underlying consumption space. We obtain these results by developing and applying a number of representation theorems for concave functions.The work of Juan E. Martínez-Legaz has been supported by the Spanish Ministry of Science and Technology and the FEDER, project BEC2002-00642, and by the Departament d’Universitats, Recerca i Societat de la Informació, Direcció General de Recerca de la Generalitat de Catalunya, project 2001SGR-00162. He also thanks the Barcelona Economics Program of CREA for its support. John Quah would like to acknowledge with gratitude the financial support of the ESRC (grant number R000271171). He would also like to thank the Department of Economics at UC Berkeley, whose hospitality he enjoyed while completing this project. Both authors would like to thank Simon Cowan for pointing the way to some important references. They are also very grateful to the referee whose insightful suggestions led to a much improved paper     

Price convergence across regions in India

The paper attempts to examine whether there is price convergence across various regions in India. Using panel unit root tests that are robust to cross-sectional dependence, it is found that relative price levels among various regions in India are mean-reverting. Further, we decompose each series into a set of common factors and idiosyncratic components. The decomposition enables us to test stationarity and estimate half-lives of the common factors and the idiosyncratic components separately. Both these components are found to be stationary. Idiosyncratic price shocks, however, are found to be more persistent as compared to the common factor. Results also indicate that transportation cost proxied by distance can explain a part of the variation in prices between two locations in India. The authors would like to thank Dibyendu Bhaumik for arranging the data for this study. Views expresed in the paper are personal and do not reflect the views of the organizations.     

Information Transmission Through Rumors in Stock Markets: A New Evidence

The authors provide new evidence of the influence of false rumors based on Taiwan's stock market. The results indicate significant patterns of abnormal returns and trading volumes surrounding the event day and that the rumors seem to be disseminated in the stock market before appearing in newspapers. The results also indicate asymmetry: Investors hearing a positive rumor about a stock may tend to buy the stock, prompting a price run-up until the rumor dies away, while negative rumors usually have greater and longer negative impacts on stock returns than positive rumors do. The presence of a daily price limit is negatively correlated to the size of abnormal returns and abnormal trading volumes on the event day, and the abnormal trading volumes are more sensitive to the price limit surrounding the event day. Finally, firm managers might receive rumor information earlier and then conduct stock trading before the rumor's announcement.     

Price as a quality signal in a strategic competition context: The role of a disclosure law

This paper analyses a firm's incentive to use price as a signal of quality in a duopoly competition, even though she can credibly and costlessly disclose her true quality. When a firm sets a higher price to signal higher quality, it has strategic effects on the price chosen by her rival. This could result in higher equilibrium prices and profits. Hence, a mandatory disclosure law is useful to prevent the practice of using of higher price as a device to signal higher quality, and in turn equilibrium prices would be lower. From a welfarist point of view, this argument justifies the establishment of such disclosure law.JEL Classification: D43, D82, K29I would like to thank Dolors Berga, Nicolas Boccard, Ramon Caminal, Carmen Matutes, José Luis Moraga and Ricard Torres for their useful comments. This paper has benefited from the comments of two anonymous referees. All the surviving mistakes are mine. Financial support from SEC2001-2793-C03-03 is gratefully acknowledged.     

Non-stationary,stable Markov processes on a continuous state space

We extend our previous result on simple stable Markov (SSM) processes to the case where the state space is continuous. As anapplication we show the existence of a competitive general equilibrium of a cobweb model where price volatility is generated both by exogenous shocks and by stochastic, so called generating variables (that may be interpreted as sunspots) that govern the correlation of the rational beliefs of individual agents. I would like to thank Danish Social Science Foundation, The Carlsberg Foundation, Stanford Institute for Theoretical Economics (SITE) and Universita Cattolica for financial help. I would also like to thank Trinidad Casasus, Mordecai Kurz, an anonymous referee as well as participants at SITE, ESAM (2004) and ESEM (2004) for helpful discussions and comments. Peter Harremoes provided me with an illuminating counter example and Hiro Nakata provided many comments that helped improve the exposition of the paper. Part of this work is from a paper previously circulated under the title: “Sunspot rational belief structures: anonymity and endogenous uncertainty”.     

Testing logit models in practice

The aim of the paper is to provide the practioner with easily implementable procedures, both numerical and graphical, to test the specification of the dichotomous, linear-in-coefficents logit model. We discuss the performance of these asymptotic methods in small samples on the basis of Monte-Carlo simulations and apply them to a cross-section study of female labour supply in West GermanyI would like to thank François Laisney, Gerhard Wagenhals and two anonymous referees for helpful comments, and the DIW for the data of the Sozioökonomische Panel. All remaining errors are my own.     

Market clearing, utility functions, and securities prices

Summary. We prove the existence of equilibrium in a continuous-time finance model; our results include the case of dynamically incomplete markets as well as dynamically complete markets. In addition, we derive explicitly the stochastic process describing securities prices. The price process depends on the risk-aversion characteristics of the utility function, as well as on the presence of additional sources of wealth (including endowments and other securities). With a single stock, zero endowment in the terminal period, and Constant Relative Risk Aversion (CRRA) utility, the price process is geometric Brownian motion; in essentially any other situation, the price process is not a geometric Brownian motion.JEL Classification Numbers: D52.This paper is part of my Dissertation (UC Berkeley). I am very grateful to my advisor Professor Robert M. Anderson. I also would like to thank Steve Evans, Roger Purves, Jacob Sagi, Chris Shannon and the participants of the 2002 NBER General Equilibrium Conference at the University of Minnesota (Minneapolis) for very helpful discussions and comments. This work was supported by Grant SES-9710424 from the National Science Foundation.     

Asset trading volume in a production economy

Judd et al. (J Finance 63: 2203–2217, 2003) show that the stationary Lucas tree model cannot generate nontrivial asset trading: Heterogenous agents will optimally choose a fixed portfolio after initial rebalancing. This paper explores asset trading volume in production economies with heterogeneous agents and dynamically complete market structures. We establish a recursive version of the Negishi approach to prove the existence of a competitive equilibrium. Furthermore, we develop a general method to solve for equilibrium portfolios in production economies within a fairly general set of complete market structures. We thus establish the theoretical reasons why production economies in general generate a nontrivial volume of asset trading even if heterogeneity of the agents is kept to a minimum. We would like to thank W. Brock, D. DeJong and, especially, H. Ennis for comments and suggestions. We also thank seminar participants at Di Tella and San Andrés Universities (Argentina), the Institute for Advanced Studies (Austria), SED Meetings 2005 (Budapest) and SAET Conference 2005 (Vigo).