Dynamic Stability, Paradoxical Comparative Statics, and Factor–Market Distortions in an Economy with Three Production Sectors

In an earlier paper the authors clarified the relationship between the stability of long–run equilibrium and the possibility of paradoxical comparative statics in the Lerner–Samuelson two–by–two model of production with factor–market distortions (see Review of International Economics 9 (1901) :383–400). The present paper extends the analysis to an economy with three production sectors. It is found that almost all properties of long–run equilibrium in the two–by–two model with factor–market distortions continue to hold, while some new properties, such as plurality of equilibrium, appear. Specifically, the instability of the adjustment process is not ruled out; a paradox cannot coexist with stable equilibrium in a small open economy, but may do so in a closed economy.     

Status-Seeking, Catching-Up, and Comparative Statics in a Dynamic Heckscher–Ohlin Model

This paper examines a two‐country dynamic general equilibrium model with status‐seeking agents. We show that the introduction of status‐seeking behavior brings about new properties in equilibrium dynamics. While there exists a continuum of steady states in the standard dynamic models, the present framework demonstrates that, under some conditions, there uniquely exists an incompletely specialized steady state, which is locally saddle‐point stable. Therefore, catching‐up and overtaking phenomena seen in economic development can be explained, and comparative statics analysis also is made possible. Our comparative statics analysis illustrates, for example, that trade pattern is determined in the Heckscher–Ohlin manner; the patient country acts just like a capital abundant one to export the capital‐intensive good. Furthermore, as distinct from the existing literature, the present study shows that the existence of an incompletely specialized steady state can be ensured even if the two countries conduct different policies.     

The Comparative Statics of Effective Demand

Keynes introduces the term ‘effective demand’ in Chapter 3 of the General Theory as designating the point of intersection of two functions: the ‘aggregate demand function’ (D) and the ‘aggregate supply function’ (Z). For the first time in the literature, I here use specific functional forms for the D and Z functions and run numerical simulations which allow study of the comparative statics of the model in the face of various ‘shocks’. The demonstration of how the D/Z model actually works will hopefully prove useful for future students of the economics of Keynes.     

Comparative Statics for the Consumer Problem

This paper studies comparative statics in the consumer utlity maximization problem with two goods. The analysis can be global, and it allows for indivisibilities, discrete changes, and non-binding budget constraints. It does not rely either on topological or convexity assumptions. Instead, it uses lattice programming techniques. The conditions derived are superextremal variant properties on the utility function, in appropriately constructed lattices on the consumption set. Sufficient conditions are given for one or both goods to be normal, for one to be inferior, and for some cases of price effects, using what are called value orders and lattices.     

The Neglect of Monotone Comparative Statics Methods

Monotone methods enable comparative static analysis without the restrictive assumptions of the implicit-function theorem. Ease of use and flexibility in solving comparative static and game-theory problems have made monotone methods popular in the economics literature and in graduate courses, but they are still absent from undergraduate mathematical economics courses and textbooks. In this article, the authors illustrate the generality of monotone comparative statics relative to the implicit function approach. For example, to sign the effect of a discrete policy shift on a choice variable, the marginal returns will increase with the policy parameter. They also apply monotone methods in game theory settings. As mathematical economics courses and majors gain popularity, incorporating monotone methods into curriculum and textbooks would provide a modern treatment of comparative static analysis.     

The Envelope Theorem and Comparative Statics of Nash Equilibria

The Envelope Theorem for Nash equilibria shows that the strategic reaction of the other players in the game is important for determining how parameter perturbations affect a given player's indirect objective function. The fundamental comparative statics matrix of Nash equilibria for theithplayer in anN-player static game includes the equilibrium response of the otherN−1players in the game to the parameter perturbation and is symmetric positive semidefinite subject to constraint. This result is fundamental in that it holds for all sufficiently smooth Nash equilibria and is independent of any curvature or stability assumptions imposed on the game.Journal of Economic LiteratureClassification Numbers: C72, C61.     

Asymmetric Monotone Comparative Statics for the Industry Compositions

Within a standard model of international trade with heterogenous firms and two asymmetric countries, we derive sufficient conditions for monotone comparative statics (MCS) for the industry composition. This model outcome is defined as first‐order stochastic dominance shifts in the equilibrium distributions of all activities across active firms. MCS for the industry composition occurs in a country that experiences a decline in its costs of serving the foreign market and meanwhile experiences an increase in its level of competition. In the other country, the industry‐level implications are exactly opposite. These clear industry‐level results hold while firms respond asymmetrically to the trade shock.     

Left-side Relatively Weak Increases in Risk and Their Comparative Statics

This paper proposes a new concept, a left-side relatively weak increase in risk (L-RWIR) order, that extends the definition of a relatively weak increase in risk (RWIR) order. We show that, for the class of linear payoffs, one can obtain an appealing comparative statics result for L-RWIR shifts imposing additional restrictions on risk preferences of a risk-averse decision maker.JEL classification: D81.revised version received October 10, 2003Acknowledgements The authors would like to thank an anonymous referee for insightful comments and useful suggestions.     

Comparative Statics of Money-goods Specifications of the Utility Function

The introduction of real-cash balances into the neoclassical model of the consumer wrecks havoc, in general, on the empirically observable refutable comparative statics properties of the model. We provide the most general solution of this problem to date by deriving a symmetric and negative semidefinite generalized Slutsky matrix that is empirically observable and which contains all other such comparative statics results as a special case. In addition, we clarify and correct two aspects of Samuelson and Sato's (1984) treatment of this problem. Received March 9, 2001; revised version received September 3, 2001     

Existence of a Universal Comparative Statics Matrix for Differentiable Optimization Problems

A universal existence theorem is established that yields exhaustive and constraint-free comparative statics information for a general, differentiable optimization problem in the preferred form of a semidefinite matrix. It subsumes all comparative statics formulations of differentiable optimization problems. Its relationship to comparative statics methods extant is establishedWe are grateful to an anonymous referee for a particularly helpful comment on the contents of this paper.     

金融稳定与物价稳定、经济增长的动态关联性

本文基于2002年第1季度至2014年第4季度的数据,构建中国金融稳定综合指数,并采用带有随机波动的时变参数向量自回归模型,对金融稳定与物价稳定、经济增长之间的动态关联性进行实证考察.结果表明:(1)自2002年第1季度以来,中国金融稳定性不断提升.(2)总体而言,各经济变量的脉冲响应强度随着滞后期的延长而逐渐减弱.(3)短期内,经济增长和物价稳定有利于金融稳定;中长期内,经济持续过热不利于金融稳定,物价上涨对金融稳定的负向影响强度逐渐减弱,并可能由负转正.(4)金融稳定对经济增长和物价稳定的影响随着经济环境的变化而发生变化.(5)与金融稳定对经济增长和物价稳定的影响相比,经济增长和物价稳定对金融稳定的影响强度更大、持续时间更长.     

Comparative Statics Predictions for Changes in Uncertainty in the Portfolio and Savings Problems

The paper investigates comparative statics effects of changes in uncertainty for a general family of problems that encompasses both the portfolio and saving decisions. Conditions are derived on preferences that are necessary and sufficient for unambiguous comparative statics predictions. The paper consolidates and completes the statement of restrictions on attitudes toward risk–bearing needed for determinate predictions in the portfolio and saving problems.     

Distortions,endogenous managerial skills and productivity differences

We develop a span-of-control model where managerial skills are endogenous and the outcome of investments over the life cycle of managers. We calibrate this model to U.S. plant-size data to quantify the effects of distortions that are correlated with the size of production units, and how these effects are amplified by managerial investments. We find a quantitatively important role for managerial investments. Distortions that consist of a tax rate of 20% on the top 50% managers reduce steady-state output by about 14.6% in our benchmark model. When skills are exogenous the reduction is about 9.2%.     

价格扭曲、要素错配和效率损失:理论和应用

本文把关于资源错配和效率损失的讨论纳入到传统的增长核算框架中,提出了测度要素价格扭曲引起的资源错配对于TFP以及产出变动影响的方法。应用这个分析框架,本文分析了我国制造业资源错配的影响。我们发现目前中国制造业内部各子行业间的资源错配大约造成了实际产出和潜在产出之间15%的缺口,并且在这些年中,扭曲没有得到显著的纠正。     

Transfer Pricing Rules,OECD Guidelines,and Market Distortions

We study the impact of transfer pricing rules on prices, firms' organizational structure, and consumers' utility in a two‐country monopolistic competition model with source‐based profit taxes. Firms can either be multinationals and serve the foreign market through a fully controlled affiliate, or be exporters and serve the foreign market by contracting with an independent distributor. The use of the OECD's comparable uncontrolled transfer price (CUP) rule distorts firms' output and pricing decisions, because the comparable arm's length transactions between exporters and distributors—which serve as the benchmark—are not efficient. We show that the CUP rule is detrimental to consumers in the low‐tax country, yet benefits consumers in the high‐tax country when compared to the benchmark of unconstrained profit shifting. Using the OECD rule increases tax revenue at the expense of consumer surplus. Those results also hold under the alternative cost‐plus transfer pricing rule.     

Household Debt,Dynamic Stability,and Change in Demand Creation Patterns

This paper examines dynamic stability and demand creation patterns of an economy in the context of the augmentation of household debt. First, we investigate the dynamic characteristics specific to an economy with household borrowing. Second, we reveal how demand creation and economic growth pattern change with the introduction of households' active borrowing. Our results shows that it is more favorable for the stability of an economy to politically control the interest rate on lending rather than to leave it to be determined by private financial institutions. Our results also indicate that even if the demand regime is wage-led, paradoxically, a rise in wage share may not necessarily stimulate economic growth. On the other hand, profit-led growth is more likely.     

Distortions,efficiency and the size distribution of firms

We develop a model of firms’ growth in which the tax and credit environments act as selection mechanisms. Such a model, parametrized and validated using a variety of data restrictions, can rationalize observations about input choices and size patterns typical of many developing countries. Using counterfactual experiments, we show that firms’ optimal responses to the tax environment are effective in reducing efficiency losses. As a consequence, tax distortions only account for 13% of the gap in output per worker between an undistorted economy and the benchmark. Credit constraints account for 44% of this gap. However, the interaction between the cost of capital and credit constraints appears to be the most important source of misallocation and can explain up to 85% of the difference in output per worker between the benchmark and first-best.     

Distortions,infrastructure, and female labor supply in developing countries

In this paper I document cross-country gaps between gross domestic product (GDP) per capita and GDP per worker. The gaps are driven mostly by a lower female labor force participation (LFP) in developing countries. Females began to participate more in the labor markets of these countries when more households acquired access to basic infrastructure and when distortive policies affecting the prices of household appliances were partially removed. I use a model of home production with endogenous labor force participation to account for these facts. I find that the prices of household appliances and access to infrastructure are quantitatively important in explaining cross-country labor supply differences.     

本地市场效应、比较优势动态化与地方中枢型产业的选择

空间经济学理论表明,基于市场规模的产业本地市场效是新的比较优势的源泉。从产业本地市场效应角度考察我国区域间产业发展,利用《中国区域间投入产出表》测算中国不同区域和不同产业的本地市场效应大小,即“超常需求”的大小,发现伴随规模经济的“本地市场效应”可以较好地解释我国产业空间结构的现象。根据产业本地市场效应,即以市场需求为导向来培育主要产业是构建现代产业体系的途径之一,是未来我国产业升级的重要方向。