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The chapter reviews and extends the theory of exact and superlative index numbers. Exact index numbers are empirical index number formula that are equal to an underlying theoretical index, provided that the consumer has preferences that can be represented by certain functional forms. These exact indexes can be used to measure changes in a consumer's cost of living or welfare. Two cases are considered: the case of homothetic preferences and the case of nonhomothetic preferences. In the homothetic case, exact index numbers are obtained for square root quadratic preferences, quadratic mean of order r preferences, and normalized quadratic preferences. In the nonhomothetic case, exact indexes are obtained for various translog preferences.

A concise introduction to the normalized quadratic expenditure or cost function is provided so that the interested reader will have the necessary information to understand and use this functional form. The normalized quadratic is an attractive functional form for use in empirical applications as correct curvature can be imposed in a parsimonious way without losing the desirable property of flexibility. We believe it is unique in this regard. Topics covered include the problem of cardinalizing utility, the modeling of nonhomothetic preferences, the use of spline functions to achieve greater flexibility, and the use of a “semiflexible” approach to make it feasible to estimate systems of equations with a large number of commodities.

Multisector growth (MSG) models have a special aura that is shared with computable general equilibrium (CGE) models. Both of them, with their many sectors (industries and goods), are known as trying to convert Walrasian general equilibrium systems from an abstract economy representation into workable models with industrial structures changing as actually observed. Yet, they are plagued by severe problems. First, they are difficult subjects involving systems of nonlinear equations. Second, their prevalent numerical (algorithmic) methodology offers little in the way of showing a clear overall picture and understanding the plethora of numbers pouring out from model simulations. The great wood is not seen for all the trees. Hence, the main objective is to set out comparative static and dynamic systems for succinctly stating and explicitly solving MSG models. The Walrasian general equilibrium is completely stated by one equation and the multisector dynamics by one differential equation. Benchmark solutions are shown for three Constant Elasticity of Substitution (CES) parameter regimes of a 10-sector general equilibrium model.

Against the background of the rapid increase of total imported food in China, China's imported high-quality food has increased more than low-quality ones, and China's imported food quality structure has continuously improved. It is a new issue that needs further examination.

Based on the assumption of non-homothetic preference, this paper apply the method provided by Eaton and Kortum (2002) in a new theoretical model and empirically analyzes the impact of per capita income on the quality structure of imported food by using SYS-GMM with firm import data from Chinese customs.

The study finds that income is a significant factor which affects the imported food quality structure in China. The higher the per capita income, the higher the imported food quality structure. Furthermore, per capita income has a significant positive impact on the imported food quality structure in different quality groups. The research confirms that China import more food with the highest quality as its per capita income increases.

Chinese policymaker needs to reconsider the role of food imports in improving food quality structure. The aim of the Chinese food industry's supply-side reform should be not only to remove excess capacity but also to produce high-quality products that meet the demand of discriminating consumers.

This paper constructs a new theme for imported food quality structure and investigates import food quality structure improvement from the perspective of demand by incorporating non-homothetic preferences. Another feature of this paper is that it conducts an empirical analysis with unique and highly disaggregated firm import data from Chinese customs to measure imported food quality, which is more refined than the national-product dimension data.

When the policy maker contemplates the current aggregate demand (AD), she/he does so given implicitly the current state of income inequality. And, policy goals should be set based on the distance between this demand and some “optimal” AD from the viewpoint of optimal income inequality. The purpose of this paper is to relate this policy concern to the sources of modern inequality.

To characterize optimality, recent research in inequality reveals that paternalistic inheritance is the decisive source of it. Inequality is the outcome of an intergenerational externality according to which the current entrepreneurs (physical-capital formation agents) bequeath to descendants who use the inheritance as rentiers rather than as entrepreneurs. Several policy measures have been proposed to correct for this externality. Yet, it is found that if the “dynastic” character of inequality is disregarded, the distance between actual and optimal AD will be ever increasing.

Policy should be addressing the motive of the descendants to act as rentiers, which is found to be easy to attain once the policy maker adopts a natural-resource view of sizeable inheritance and proceeds to reassign property rights over it across generations.

Optimality is identified with the Cantorian (total) ordering of the social economy, which is inhibited by the institution of dynastic property rights. One way to deal with this problem is to view inheritance as a depletable natural resource.

This paper aims to shed light on two mechanisms that show how foreign productivity improvement affects domestic welfare.

First, this study applies a general equilibrium model that takes into account how wages respond to productivity improvements. Second, this study uses a monopolistic competition model that shows how benefits or losses from foreign productivity changes are distributed within domestic economy.

First of all, this study shows that a region’s productivity improvement is beneficial for the region itself as well as for its trading partner. Moreover, the study finds that productivity improvement in a developing region is beneficial for the entire economy, benefits all unskilled workers in the economy and skilled workers in the developing region and hurts those in the developing region’s trading partner.

This study contributes to the existing literature in two key aspects. First, the study applies a two-region, two-factor, one-sector general equilibrium model with flexible wages, and second, the study uses a two-region, two-factor, two-sector monopolistic competition model, relaxing the single-factor (labor) assumption, which is used in other works. Under the single-factor assumption, foreign productivity changes do not have any impact on domestic income distribution. In reality, however, any productivity change between countries creates losers and winners within each country. Hence, the author believes that it is imperative to study how benefits or losses that come from foreign productivity changes are distributed between domestic production factors.

The purpose of this paper is to investigate the link between trade diversion risk and new Halal market exploration.

This paper analyzes the Halal trade flows for Malaysia’s top 11 halal food/food-related commodities from 1967 to 2018 by relying on co-integration and auto-regression techniques.

This paper determines that the greater the country’s current comparative advantage in an exported good, the higher the risk of export diversion between the Halal and conventional markets. The diversion risk, however, disappears with a lower current comparative advantage.

To take advantage of the fast-emerging Halal market, a country should expand export of commodities with relatively low current comparative advantage but high demand in the target market, along with supportive trade policies to build competitiveness in the long term.

This study fills the gap in the literature by investigating if the theory of comparative advantage can predict the market diversification risk that may arise from the expansion of exports to the Halal market occurring alongside existing exports to the conventional market.