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Getting to a Competitive Equilibrium

如何达到竞争均衡

A random price adjustment model is developed for an exchange economy which is decentralized in that the trades permitted to an agent and the resulting price changes depend only on the commodity vector currently held by that agent, and not on the whole economy. We obtain asymptotic results as the number of agents goes to infinity, subject to stability assumptions on the price paths. With probability arbitrarily close to one the price path in our model will approximate the…

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Nonparametric and Semiparametric Estimation with Discrete Regressors

含离散解释变量的非参数与半参数估计

This note is concerned with nonparanetric and semiparametric inference in regression models where regressors are not continuous. In economic practice, few explanatory variables are continuous. Many of the are dummics, qualitative variables, or counts; and others though continuous in nature, are recorded at intervals and can be treated as discrete.

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Nonparametric Estimation of Exact Consumers Surplus and Deadweight Loss

精确消费者剩余与无谓损失的非参数估计

The authors apply nonparametric regression models to estimation of demand curves of the type most often used in applied research. From the demand curve estimators they derive estimates of exact consumers surplus and deadweight loss. The authors also develop tests of the symmetry and downward sloping properties of compensated demand. They work out asymptotic normal sampling theory for kernel and series nonparametric estimators as well as for the parametric case. The paper…

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Evolutionary Selection in Normal-Form Games

正规式博弈中的演化选择

This paper investigates stability properties of evolutionary selection dynamics in normal-form games. The analysis is focused on deterministic dynamics in continuous time and on asymptotic stability of sets of population states, more precisely of faces of the mixed-strategy space. The main result is a characterization of those faces that are asymptotically stable in all dynamics from a certain class, and the authors show that every such face contains an essential component…

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Revisiting the Sen Poverty Index

再论森贫困指数

A modification of the official Sen poverty index yields an index which is not only continous in individual incomes and consistent with the transfer axiom, but also admits a geometric interpretation in terms of the area beneath a graph called the inverse generalized Lorenz curve for normalized poverty gaps by Jenkins and Lambert (1993) or the poverty gap profile by Shorrocks (1994).

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Regression with Nonstationary Volatility

非平稳波动率下的回归

A new asymptotic theory of regression is introduced for possibly nonstationary time series. The regressors are assumed to be generated by a linear process with martingale difference innovations. The conditional variances of these martingale differences are specified as autoregressive stochastic volatility processes with autoregressive roots that are local to unity. The author finds conditions under which the least squares estimates are consistent and asymptotically normal. A…

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Fully Modified Least Squares and Vector Autoregression

完全修正最小二乘与向量自回归

This paper provides a general framework which makes it possible to study the asymptotic behavior of FM regression in models with I(1) and I(0) regressors, models with unit roots, and models with only stationary regressors. This framework enables us to consider the use of FM regression in the context of vector autoregressions with some unit roots and some cointegrating relations. The resulting FM-VAR regressions are shown to produce optimal estimates of the cointegration…

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Decomposition and Characterization of Risk with a Continuum of Random Variables

连续统随机变量生成风险的分解与刻画

The paper studies the representation and characterization of risks generated by a continuum of random variables. The Main Theorem is a characterization of a broad class of continuum processes in terms of the decomposition of risk into aggregate and idiosyncratic components, and in terms of the approximation of the continuum process by finite collections of random variables. This characterization is used to study decision making problems with anonymous and state-independent…

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Consistent Specification Testing Via Nonparametric Series Regression

通过非参数级数回归进行一致的模型设定检验

This paper proposes two consistent one-sided specification tests for parametric regression models, one based on the sample covariance between the residual from the parametric model and the discrepancy between the parametric and nonparametric fitted values; the other based on the difference in sums of squared residuals between the parametric and nonparametric models. The authors estimate the nonparametric model by series regression. The new test statistics converge in…

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Second Order Approximation in the Partially Linear Regression Model

部分线性回归模型中的二阶近似

The author examines the second order properties of various quantities of interest in the partially linear regression model: a stochastic expansion with remainder of order n[superscript -2 mu] in distribution, where mu Copyright 1995 by The Econometric Society.

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Econometrics of First-Price Auctions

一价拍卖的计量经济学

This paper proposes a convenient estimation method for the empirical study of auction models. The authors focus on first-price sealed-bid and descending auctions within the private value paradigm. The method relies upon a simulated nonlinear least squares objective function appropriately adjusted. Asymptotic properties are established and some extensions are discussed. The method is applied to a market of agricultural products. The structural modeling takes into account the…

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Automobile Prices in Market Equilibrium

市场均衡中的汽车价格

This paper develops techniques for empirically analyzing demand and supply in differentiated product markets and then applies these techniques to the U.S. automobile industry. The authors' framework enables one to obtain estimates of demand and cost parameters for a class of oligopolistic differentiated products markets. These estimates can be obtained using only widely available product-level and aggregate consumer-level data, and they are consistent with a structural model…

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Back to the Future: Generating Moment Implications for Continuous-Time Markov Processes

回到未来:构造连续时间马尔可夫过程的矩条件

Continuous-time Markov processes can be characterized conveniently by their infinitesimal generators. For such processes there exist forward and reverse-time generators. The authors show how to use these generators to construct moment conditions implied by stationary Markov processes. Generalized method of moments estimators and tests can be constructed using these moment conditions. The resulting econometric methods are designed to be applied to discrete-time data obtained…

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The Normal Approximation for Semiparametric Averaged Derivatives

半参数平均导数估计量的正态近似

With the same normalization as that for standard parametric statistics, and centered at a parameter of interest, many semiparametric estimates based on n observations have been shown to be root-n-consistent and asymptotically normal. In the context of semiparametric averaged derivative estimates, the author goes further by showing that the rate of convergence of the finite-sample distribution to the normal limit distribution can equal that of standard parametric statistics.…

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Identification and Robustness with Contaminated and Corrupted Data

数据污染与损坏下的识别及稳健性

Robust estimation aims at developing point estimators that are not highly sensitive to errors in data. However, the population parameters of interest are not identified under the assumptions of robust estimation, so the rationale for point estimation is not apparent. This paper shows that, under error models used in robust estimation, unidentified population parameters can often be bounded. The bounds provide information that is not available in robust estimation. For…

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Modelling Nonlinear Relationships between Extended-Memory Variables

扩展记忆变量之间非线性关系的建模

A definition of extended memory is provided, generalizing the ideas of long memory and persistence, based on the properties of forecasts over long horizons. Specification of nonlinear models with variables having extended memory is considered in terms of the balance of an equation and it is suggested that many more types of misspecification can occur than with usual situations and could produce important specification errors. Tests of linearity and standard methods of…

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Sisters, Siblings, and Mothers: The Effect of Teen-Age Childbearing on Birth Outcomes in a Dynamic Family Context

姐妹、同胞与母亲:动态家庭背景下青少年生育对出生结局的影响

A statistical model of dynamic intrafamily investment behavior incorporating endowment heterogeneity is estimated to evaluate alternative estimation procedures that have exploited family and kinship data. These procedures, which place alternative restrictions on the endowment structure and on behavior, include generalized least squares, fixed-effects based on the children of sisters and siblings, and instrumental variables. The framework is applied to data on birth outcomes,…

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A Mirror Image Invariance for M-Estimators

M 估计量的镜像不变性

MUCH RESEARCH INTO THE PERFORMANCE of econometric estimators utilizes Monte Carlo experiments, either as a primary tool or as a check on the accuracy of first or higher order asymptotic approximations. It is important to design efficient experiments and to extract all the information they provide. But it is also important to avoid constructing experiments which give an overly optimistic view of the performance of an estimator or test. This note gives a theorem concerning…

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Can a Poverty Index be Both Relative and Absolute?

贫困指数能否同时具有相对性与绝对性?

BEGINNING WITH THE WORK OF A. K. SEN (1976) poverty research has made extensive use of axioms to construct and evaluate distribution-sensitive poverty measures. An index is distribution-sensitive if it satisfies Sen's (1976) weak transfer axiom; poverty decreases when income is transferred from a high income poor person to a low income poor person. A distribution-sensitive measure is appealing because it reflects the extent of deprivation among the poor and incorporates…

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The Asymptotic Variance of Semiparametric Estimators

半参数估计量的渐近方差

This paper derives a general formula for the asymptotic variance of semiparametric estimators that accounts for the presence of nonparametric estimators of functions. The general formula is specialized to show invariance of the asymptotic variance to the type of nonparametric estimator and to obtain correction terms for estimation of densities and mean-square projections (including conditional expectations). Regularity conditions for the validity of the formula are also…

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Optimal Tests when a Nuisance Parameter is Present Only Under the Alternative

干扰参数仅在备择假设下存在时的最优检验

This paper derives asymptotically optimal tests for testing problems in which a nuisance parameter exists under the alternative hypothesis but not under the null. For example, the results apply to tests of structural change with unknown changepoint. The testing problem considered is nonstandard and the classical asymptotic optimality results for the Lagrange multiplier, Wald, and likelihood ratio do not apply. A weighted average power criterion is used here to generate…

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Investigating Generalizations of Expected Utility Theory Using Experimental Data

利用实验数据考察期望效用理论的推广

A number of generalizations of the expected utility preference functional are estimated using experimentally generated data involving 100 pairwise choice questions repeated on two separate occasions. Likelihood ratio tests are conducted to investigate the statistical superiority of the various generalizations and the Akaike information criterion is used to distinguish between them. The economic superiority of the various generalizations is also explored and the paper…

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The Predictive Utility of Generalized Expected Utility Theories

广义期望效用理论的预测价值

Recent experimental choice studies compare expected utility with competing theories of decision-making under risk. Formal tests used to judge the theories usually count the number of consistent responses, ignoring systematic variation in inconsistent responses. A maximum-likelihood estimation method is developed that extracts more information from the data and enables one to judge the predictive utility--fit and parsimony--of utility theories. Analyses of twenty-three data…

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