Translation homotheticity

Summary. The concept of translation homotheticity is introduced and defined. It is demonstrated that translation homotheticity is necessary and sufficient for: disposable surplus to be independent of the reference utility, Luenberger's compensating and equivalent benefits to be independent of the reference utility and always equal to one another, the risk premium to be independent of reference-level utility, absolute indexes of income inequality to be reference free, and social-welfare functionals to satisfy invariance with respect to the choice of a common origin. Translation homotheticity is also sufficient for Hicks' many-market consumer surplus measure to be a second-order approximation to disposable surplus, compensating benefit, and equivalent benefit. If preferences are translation homothetic and appropriately quadratic, Hicks, many-market consumer surplus measure is exact for these welfare measures. Received: October 24, 1996; revised version: March 3, 1997     

Jointly radial and translation homothetic preferences: generalized constant risk aversion

Summary. The paper identifies the structural restrictions on preferences required for them to exhibit both translation homotheticity in particular direction and radial homotheticity. The results are illustrated by an application to an asset allocation problem in the absence of riskless asset.Received: 22 January 2002, Revised: 31 March 2003, JEL Classification Numbers: D8, D2. Correspondence to: Robert G. Chambers     

COMMENT: TESTING FOR INVERSEHOMOTHETICITY: A NONPARAMETRIC APPROACH*

This paper starts from Fukuyama and Weber's (2004 ) work on testing for inverse homotheticity to show that the equality of the output gain function and the Zieschang output gain function is not equivalent to inverse homotheticity. Hence, testing for the equality of these gain functions cannot prove that a technology is inverse homothetic. Moreover, it is established that the gain functions are equal if and only if the direct and indirect isoquant and the corresponding efficient set are equal, which does not depend on inverse homotheticity.     

A note on decomposing the Malmquist productivity index by means of subvector homotheticity

Summary. This paper introduces a decomposition of the Malmquist productivity index into component indexes. The motivation is to derive an analogue of the decomposition of the T?rnqvist index into productivity and quality change provided by Fixler and Zieschang (1992) to the Malmquist index. Since we employ no second order approximations, this decomposition requires additional structure, namely a generalized version of Shephard's (1970) inverse homotheticity, which we dub subvector homotheticity. We show that subvector homotheticity is necessary and sufficient for our decomposition. Received: July 10, 1998; revised version: August 11, 1999     

Biased Technical Change and Parallel Neutrality

The Luenberger productivity indicator has many attractive features to evaluate productivity, technical and efficiency changes. Paralleling Färe et al. (1997), this paper shows that the technical change indicator can be expressed as the sum of a magnitude indicator and a bias indicator that is the sum of two bias indicators input and output oriented respectively. Using a recent concept of ``parallel neutrality'' introduced by Briec et al. (2006), some conditions under which each bias indicator makes no contribution to productivity change are established. Among the key contributions of this paper is a new linear programming model involving a graph translation homotheticity property.     

Testing revealed preferences for homotheticity with two-good experiments

It is shown that for two dimensional commodity spaces any homothetic utility function that rationalizes each pair of observations in a set of consumption data also rationalizes the entire set. The result is used to provide a simplified nonparametric test for homotheticity of demand and a measure for homothetic efficiency. The article thus provides a useful tool to screen data for severe violations of homotheticity before estimating parameters of homothetic utility functions. The new test and measure are applied to previously published data.     

The Production Possibility Frontier as a Maximum Value Function: Concavity and Non-increasing Returns to Scale

This paper makes both a methodological as well as a substantive contribution to the literature on the concavity of the production possibility frontier (PPF). Rather than using the standard, calculus‐based techniques, the method here relies on the fact that the PPF is a maximum value function. The consequent simplification in analysis makes it possible to demonstrate that the conditions which are sufficient to guarantee global concavity of the PPF are considerably less stringent than those stated in the literature. Existing analyses have assumed that production functions are (a) concave and homothetic, or (b) display non‐increasing returns to scale (NIRS) and homogeneity. This paper shows that concavity without homotheticity, or NIRS and quasiconcavity without homogeneity (or even homotheticity) are sufficient, thus greatly increasing the generality of existing results. The analysis can be extended to include situations in which the input set includes industry‐specific factors.     

TESTING FOR INVERSE HOMOTHETICITY: A NONPARAMETRIC APPROACH

The efficiency of a decision-making unit can be estimated relative to the direct output possibility set or the indirect (cost-constrained) output possibility set. For the direct and indirect output sets we show that the ratio of two Farrell (radial) efficiency measures equals the ratio of two Zieschang (non-radial) efficiency measures if and only if the production technology is inverse-homothetic. A consequence of inverse homotheticity is that the input and output expansion paths are linear.     

The HQ Production Function

A sixth-degree production function of Henderson and Quands (1958), that exhibits increasing and then decreasing returns to scale, is generalized to allow for non-homotheticity as well as homotheticity. Although the long-run function lacks the desirable short-run attribute of the original function, it has the advantage that the cross-marginal product is conventionally positive The simplicity and versatility of die HQ production function make it useful for computer simulations of long-run competitive market equilibrium with a determinate number of firms.     

The structure of consumer preferences,Federal Republic of Germany, 1950–1973

Summary The objective of this paper is to analyze the structure of consumer preferences and changes in preferences over time. Consumer preferences are represented by an indirect translog utility function with time-varying preferences that is quadratic in the logarithms of its arguments. We consider a system of demand functions associated with parameter restrictions consistent with the theory. We characterize groupwise separability and groupwise homotheticity of preferences and derive for each set of restrictions on preferences parametric restrictions on the corresponding system of demand functions. Empirical results of the tests, based on time series data for FRG consumption expenditures on three commodity groups — durables, non-durables, and energy — are presented.     

The geometry of optimal taxation: a primal approach

We characterize zero tax results geometrically as a condition on indifference curves and the implementability constraint. The condition can also be expressed as a generalized homotheticity condition on the utility function and also extends older results on uniform taxation that use the duality approach. Many zero taxation results in dynamic macroeconomics can be derived from our characterization; thus it provides a unified framework for a systematic study of these phenomena. Our geometric method also allows to study the sign of deviations from zero tax results in more complicated frameworks such as taxation without commitment.      

Estimating consumer demand in Korea

In this paper, time series annual data on five consumer goods for Korea are analyzed using the neoclassical model of consumer behavior. The approach taken is the indirect utility function and employs a translog form. Various restrictive specifications of consumer preferences with respect to homotheticity and separability are examined and rejected by the likelihood ratio test. Income and price elasticities are estimated, which appear to be generally high relative to those of developed countries. Growth in real income is primarily responsible for changes in commodity demand. Marginal utilities of income and associated income elasticities are calculated, which are consistent with normal expectations.     

Structural Change and Growth in a NEG Model

This paper presents a New Economic Geography model of structural change, agglomeration and growth. Assuming a non‐homothetic preference structure, our results show that a progressive reduction of trade costs allows the economy to pass from a pre‐industrialized to an industrialized stage and then, within the latter, from a dispersed to an urbanized regime. However, the introduction of capital accumulation and the dynamic setting of our model opens the door to a richer set of implications. First, an additional stage is introduced as, for some intermediate values of trade costs, a multiple equilibria regime emerges with simultaneously stable symmetric and core‐periphery equilibria. Second, the introduction of non‐homotheticity introduces a new channel through which growth is affected by trade costs and agglomeration. In particular, integration is always growth‐enhancing while agglomeration is growth‐detrimental.     

ON THE BIASES IN FOREIGN TRADE INDICES*

Starting out from the observation that both imports and exports may be viewed as the difference between domestic consumption (use) and production, static standard theory of biases in consumption and production indices is brought to bear upon trade indices: Laspeyres tends to overrate when applied to imports and to underrate when applied to exports; for Paasche, the opposite holds true. Hence, terms of trade tend to be underrated (exaggerated) when based upon Laspeyres (Paasche) price indices. The problem of extending these conclusions to the case of changes in production frontiers and preference maps is discussed. When homotheticity is absent, correlation between price and quantity relatives may upset the simple conclusions. This is of special importance in the large-country situation. Dynamics further complicate the situation. A cobweb mechanism in exports may thus reverse the static results.     

Homothetic functions revisited

Summary. This paper examines the proposition that homotheticity is equivalent to the property that (e.g., in the context of a production function) the marginal rate of substitution is constant along any ray from the origin. This claim is made in many places, but hitherto the prerequisites have not been stated explicitly. In the present contribution it is demonstrated that an additional condition is required for the claim to hold. We present a theorem that achieves equivalence by also assuming ‘nowhere ray constancy’. It turns out that this condition is implied by assumptions often made, e.g., in production theory. Further, a complete characterization is given of the class of functions that satisfy ray constant marginal rates of substitution or, somewhat more generally, a condition of ray parallel gradients. In addition to homothetic functions this class contains functions homogeneous of degree 0 (i.e., ray constant) and functions which are homothetic in disjoint regions separated by regions of ray constancy. Received: November 5, 1999; revised version: October 31, 2000     

Subjective model selection rules versus passive model selection rules

In this paper, the choice of a particular functional form based on the objective of the author is called the subjective model selection rule and the choice of a particular functional form using pre-selected model selection criteria is called the passive model selection rule. The objective of the author is the analysis of equilibrium, an efficient input choice, the study of the returns to scale function, the estimation of the elasticity of substitution, and the evaluation of the technical progress. Depending on the chosen objectives, economic restrictions such as the homogeneity, homotheticity, and regularity condition (positivity, monotonicity, and quasiconcavity) can be imposed. Various well-known functions beginning from the Cobb–Douglas (CD) to a globally well-behaved polynomial series are listed and the performances are compared with respect to the possibility of extracting economic interpretation, usefulness for advanced studies, computational easiness, and the potentiality of extending the given function to a more complex function. The isoquants and three dimensional output surfaces are plotted for a series of production functions using the transportation data of Zellner and Revankar (1969). Barnett and Jonas (1983) imposed the sufficient conditions for quasiconcavity of production functions while Gallant and Golub (1984) imposed the necessary and sufficient conditions. The strength and weakness of the above two methods are discussed. These methods are extended for three input cases using the U.S. electric power industry data of Nerlove (1963) and Greene (2008).     

交际翻译与语义翻译研究及应用

翻译是一种跨语言、跨文化交流活动,目的在于使译语读者获得和原语读者尽可能相同的接受效果。纽马克提出了"语义翻译"和"交际翻译"来处理翻译中的文化因素,是对翻译理论的重大贡献,是交际学和语义学在翻译领域中的应用。对"语义翻译"和"交际翻译"进行了全面系统的研究,重点研究了二者在翻译实践中的应用。     

译者伦理视角下的翻译质量评估

传统翻译理论以忠实作为翻译的准则,随着翻译研究的进一步深入,翻译理论从忠实／不忠实问题转向伦理观念。对翻译质量进行评估依赖一定的标准,而不同的翻译观、不同的译者伦理有不同的翻译标准。本文以Chesterman的五种翻译伦理模式为依据,分析探讨译者伦理和翻译质量评估之间的关系。     

中西翻译伦理差异之比较

任何翻译伦理受主体社会文化的制约。中国传统翻译伦理主要建立在义务论的基础上,而西方翻译伦理则以功利主义为基础;中国传统翻译伦理注重体现人际关系,而西方翻译伦理则强调文本关系。这对现代翻译研究有一定的启示。     

功能翻译理论观照下张家界景点介绍的文化术语英译

张家界景点介绍的英译对展示张家界的自然风光和风土人情,吸引海外游客起着重要作用。运用诺德的功能翻译理论对张家界景点介绍的文化术语英译进行了探讨,发现现有的译文存在文化术语误译等问题,并建议采用注释性增译、音译加意译等翻译策略对其进行改译。