Perversity without complementarity ∗

It has been shown by Tatsuo Hatta that, in a Wicksellian or dated labour model of production, Hicksian input complementarity is a necessary condition for ‘capital perversity’. It is shown here that Hicksian input complementarity at the more fundamental level of real industries is nota necessary condition for ‘perversity’.     

A Shoven-Whalley model of a small open economy: An illustration with Philippine tariffs

This paper describes an applied general equilibrium model of a price-taking economy in both imports and exports. Sector-specific factors are incorporated to avoid complete-specialization problems. A Hicksian composite traded good market is used for achieving trade balance in the model. Foreign and domestic goods are assumed perfect substitutes. For illustration, Philippine tariffs and export taxes are analyzed using the model.     

Some Hicksian and Marshallian consumer's surplus estimates in discrete choice

This note describes the theory and practice of applying the Hicksian approach to cost-benefit analysis to discrete choice models. It illustrates the technique with numerical estimates of Hicksian and Marshallian consumer's surplus measures based on computer simulations using real-world data.     

Recovering Hicksian Consumer Surplus within a Collective Model: Hausman's Method for the Household

The purpose of this paper is to describe the implications of the collective model of household behavior for the methods used to estimate the economic value of non-marketed environmental resources. After demonstrating how the separability restrictions inherent in the collective model allow individual preference and household income allocation choices to be distinguished, the paper demonstrates how the framework can be used to recover Hicksian consumer surplus. An algebraic example is used to illustrate how the framework can be used in valuing environmental resources.     

Compensating Variation and Hicksian Choice Probabilities in Random Utility Models that are Nonlinear in Income

In this paper we discuss Hicksian demand and compensating variation in the context of discrete choice. We first derive Hicksian choice probabilities and the distribution of the (random) expenditure function in the general case when the utilities are nonlinear in income. We subsequently derive exact and simple formulae for the expenditure and choice probabilities under price (policy) changes conditional on the initial utility level. This is of particular interest for welfare measurement because it enables the researcher to compute the distribution of compensating variation in a simple way. We also derive formulae for the joint distribution of expenditure, the choice before and after a policy change has been introduced.     

MORE ON THE MEASUREMENT OF TOTAL FACTOR PRODUCTIVITY

"As compared with Hicksian, Harrodian measures of the concept of total factor productivity which rigorously take into account the reproducibility of commodity capital inputs and the technological interdependence of modern production economies are advocated. A number of recent measures of total factor productivity are shown to be variants of the Harrodian approach, and certain problems of aggregation associated with the Hicksian measures are shown to be resolved by the Harrodian measures. An examination of the concepts of technical progress and vertically integrated sectors advanced by Professor Luigi L. Pasinetti and their relation to the Harrodian measures of total factor productivity is made."     

Assessing the role of futures position substitutability in a monthly slaughtered pork factor demand by US processors: a cointegrated VAR model approach

This article combines cointegrated VAR modelling with basic neoclassical production microeconomics in a new way that tests for, and illuminates the empirical nature of, the monthly US pork processing sector’s factor demand for slaughtered pork. Statistical evidence strongly suggests that the US pork processing sector has a Hicksian Cobb–Douglas slaughtered pork demand that arises from applying Shephard’s lemma to the sector’s cost function and that US pork processors treat slaughtered pork and related futures positions as close factor substitutes. In the wake of major and ongoing futures market events and trends, this study establishes and statistically tests a theoretical link between futures price movements and impacts on the underlying slaughtered pork market through monthly formation of US pork processors’ factor demand for slaughtered pork. Evidence suggests that demand agents shift between demands for the two substitutes based on movements in the slaughter/futures price ratio that results in a market-stabilizing cushion against sharp pork price movements such as those observed in the late-1990s. Statistical and diagnostic evidence suggests that our modelled non-experimental data and estimated Hicksian demand that arose from the cointegrated VAR model’s cointegration space met Haavelmo’s setting of passive variables and associated ceteris paribus conditions.     

The Balassa-Samuelson and the capital-intensity hypotheses in a nutshell

By means of duality theory, this paper generalizes the Balassa-Samuelson model as is used to explain the Penn effect; namely, the fact that national price levels tend to rise with per capita national incomes. The generalization made in this paper allows for any technological progress that is Hicks-neutral, Solow-neutral, Harrod-neutral, or any mixture of them. The implications of the enlarged models include, among others, the Balassa-Samuelson scenario, as well as a capital-intensity scenario that resembles Bhagwati’s. Those hypotheses emerge simultaneously when technical changes are, both, Hicksian and Solovian. The paper also presents an alternative model that is used to explain the apparent breakdown of the Penn effect in the case of the lowest-income countries.     

A systematic analysis of the links amongst the Marshallian,Hicksian, and Frischian demand functions: A note

Three types of demand functions are central to contemporary consumer theory: the Marshallian, the Hicksian, and the Frischian demand functions. This paper presents a systematic definition of the analytical relationships amongst these demand functions under the maintained hypothesis that the decision maker is a profit maximizer.     

Uniqueness of general economic equilibrium

For a well-known economic model involving n commodities that are offered for sale, it is proved that there is at most one normalized equilibrium if the values of a certain matrix-valued function of order (n - 1) are Hicksian (i.e., have positive principal minors) throughout its domain of definition. The condition has a nice interpretation, and the result differs from an earlier (and very differently proved) uniqueness result of Arrow and Hahn primarily in that the class of excess-demand functions considered here is considerably less restricted in an important sense.     

Comparative statics in the large based on a fixed point algorithm

The purpose of this paper is to present a theorem on comparative statics in the large by making use of theorems on a fixed point algorithm, and also to show its economic applications focused on Hicksian laws. We provide a unified approach to comparative statics in the large, and obtain laws of demand globally valid for generalized gross-substitute systems.     

Can Weak Substitution be Rehabilitated?

This paper develops a graphical analysis and an analytical model that demonstrate how weak substitution can be used for non-market valuation. Weak complementarity and weak substitution represent preference restrictions that allow us to develop equivalent price changes to describe quantity or quality changes in non-market goods. The price changes are Hicksian equivalents in that they yield the same utility changes as would the quantity or quality changes. After discussion of several potential applications of weak substitution, the paper develops the parallel between the restriction and recent strategies from modeling differentiated goods.     

An almost ideal demand system for alcoholic beverages in British Columbia

An almost ideal demand system for alcoholic beverages in British Columbia is estimated based on five beverage categories. Estimates of the model unrestricted and restricted to satisfy homogeneity and symmetry are presented. The restrictions are tested: as is common in applied demand analysis a number of rejections are encountered, although within-equation tests tend to support homogeneity. The rejections which are encountered are not mitigated by the inclusion of dynamic elements. The Slutsky matrix is used to examine the concavity of the expenditure function, which is found to be mildly violated. Marshallian and Hicksian own-, cross-price, and income elasticities are calculated and are found to be largely consistent with previous findings, although some noteworthy results are obtained.     

Citizens’ trust in government and their willingness-to-pay

We employ the Hicksian compensating variation and a citizen’s subjective perspective on trustworthiness of government, and draw a positive association between citizens’ trust in government and their willingness-to-pay. Our finding suggests that public projects can be hindered by prevailing distrust toward government.     

ON THE RELATION BETWEEN HICKSIAN SURPLUS AND TRUE COST-OF-LIVING INDICES

This note demonstrates how recent results in the literature on true cost-of-living indices are of direct relevance to attempts to measure Hicks'compensating and equivalent variations because of the close inter-relationship between the Hicksian surplus measures and true (or constant-utility) price indices.     

A note on Walrasian equilibria in non-Walrasian models

We demonstrate that equilibria termed ‘Walrasian’ in non-Walrasian models are generally not, but rather Hicksian Temporary Competitive Equilibria in expected virtual prices. They are only Walrasian when the expected virtual prices would clear all markets.     

CONSUMER'S SURPLUS: SIMPLE SOLUTIONS TO AN OLD PROBLEM

The paper presents a concise account of recent results on the axiomatization of various welfare measures. Following the introduction and discussion of some elementary properties that a welfare measure should satisfy, valid measures are derived. In particular, the Hicksian equivalent and compensating variation and a measure based on the money metric are characterized.     

Optimal non-linear income taxation for reduction of envy

This paper examines the optimal non-linear income taxation problem based on λ-equitability. An allocation is λ-equitable if no agent envies a proportion λ of the bundle of any other agent. We examine the properties of Pareto undominated allocations for various λ-equitability requirements. When there is one output, the marginal income tax rate can increase only if leisure is a luxury. In a multi-commodity model with commodity taxes, the goods preferred by the low skilled agent and/or those with high Hicksian elasticities are taxed more heavily. When preferences exhibit quasi-linearity, we can show that the introduction of the λ-equitability constraint increases the marginal income tax rates of the entire population.     

On measurability and comparability: Comment on Pauwels's “the implicit welfare weights used when maximizing aggregate surplus”

The note demonstrates that the unweighted sum of the Hicksian equivalent variations is not a reasonable welfare indicator if consumers have different wages. It recommends the unweighted sum of the individual money metrics, all evaluated at thesame reference pricesand reference wage. For this measure the comparability and necessary measurability of utility functions and welfare changes can be guaranteed. In contrast to Pauwels's measure the indicator proposed possesses the properties one expects.     

Is an Exhaustible Resource Economy Sustainable?

The paper focuses on two alternative concepts of sustainability dominating the literature: (i) maximum permanently maintainable consumption level (Fisherian income) and (ii) the amount of consumption that leaves total value of wealth intact (Hicksian income). In the context of a pure exhaustible resource economy, the author derives an explicit relationship between the two sustainability criteria and shows that while such an economy is not sustainable in the former sense, it is in the latter sense provided social preferences are represented by a logarithmic utility function. The implications of the two concepts for greening of national income are derived. Finally, the paper shows the range of values of the parameters of the model for which the utilitarian optimal path can be close to paths satisfying the alternative sustainability criteria, suggesting that such outcomes are less likely for very poor resource‐dependent countries than for the rich ones.