Optimal rationing within a heterogeneous population

A government agency delegates to a provider (hospital, medical gatekeeper, school, social worker) the decision to supply a service or treatment to individual recipients. The agency does not perfectly know the distribution of individual treatment costs in the population. The single‐crossing property is not satisfied when the uncertainty pertains to the dispersion of the distribution. We find that the provision of service should be distorted upward when the first‐best efficient number of recipients is sufficiently high.     

Optimal population size and endogenous growth

"Many applications in economics require the selection of an objective function which enables the comparison of allocations involving different population sizes. The two most commonly used criteria are the Benthamite and the Millian welfare functions, also known as classical and average utilitarianism, respectively. The former maximizes total utility of the society and thus represents individuals, while the latter maximizes average utility and so represents generations. Edgeworth (1925) was the first to conjecture, that the Benthamite principle leads to a larger population size and a lower standard of living.... The purpose of this paper is to examine Edgeworth's conjecture in an endogenous growth framework in which there are interactions between output and population growth rates. It is shown that, under conditions that ensure an optimum, the Benthamite criterion leads to smaller population and higher output growth rates than the Millian."     

How long to eat a cake of unknown size? Optimal time horizon under uncertainty

This paper is concerned with the determination of the optimal time horizon for the cake–eating problem under uncertainty. It is shown that if the uncertain exhaustible resource stock is a discrete random variable admitting at most a finite number of values, the optimal planning horizon is infinite (finite) according as the marginal utility of extraction–cum–consumption is infinite (a finite positive value) as the latter approaches zero, thereby extending the scope of the similar result under perfect certainty. Other results show that uncertainty will generally lengthen the planning horizon, implying a more conservative extraction policy under uncertainty, and that the extraction policy aimed at extracting an amount equal to the expected value of the uncertain resource stock takes longer than the expected value of the optimal planning horizon. JEL Classification: D81 and Q31 Combien de temps pour manger un gâteau de taille inconnue? L’horizon temporel optimal en régime d’incertitude. Ce mémoire s’attaque à la détermination de l’horizon temporel optimal dans le cas du problème du gâteau–à–manger en régime d’incertitude. On montre que si le stock incertain de la ressource épuisable est une variable aléatoire discontinue qui ne peut prendre qu’un nombre fini de valeurs, l’horizon temporel est infini (fini) selon que l’utilité marginale de l’extraction–cum–consommation est infinie (prend une value finie positive) quand celle–ci approche zéro, et ce faisant élargit la portée d’un résultat similaire obtenu en régime de certitude parfaite. D’autres résultats montrent que l’incertitude accroît généralement l’horizon temporel, ce qui suggère qu’une politique d’extraction plus conservatrice va prévaloir en régime d’incertitude, et que la politique d’extraction visant à extraire une quantitéégale à la valeur anticipée d’un stock de ressource incertain prend plus de temps que la valeur anticipée de l’horizon temporel optimal.     

Optimal size, optimal timing and optimal financing of an investment

Corporate investment is an important determinant of economic well-being. The existing literature identifies optimal investment size and timing without the possibility of debt financing, as well as the effect of debt financing on investment timing without the option to choose investment size. This paper contributes to the literature by identifying the optimal size, optimal timing and optimal financing for an investment when the firm controls all three decisions (as it usually does in practice). The investment size and investment trigger are generally positively related: when investment is delayed (accelerated) it is larger (smaller) in size, thus the overall effect on investment is ambiguous. However, when tax rate or bankruptcy cost is increased, the trigger rises and size falls, hence the effect on investment is unambiguously negative. The effect of debt financing on investment depends on the amount of debt used; with the optimal amount of debt, investment is delayed relative to the no-debt case, and this delay can be economically significant; however, the investment, when eventually made, will be larger in size. Overall, it is not appropriate to ignore either the firm’s ability to choose investment size or its option to use debt financing, when modeling the investment decision.     

基于居民消费最大化的城镇内部最优收入差距

我国城镇内部面临收入差距的不断扩大和消费一直不振的双重问题。笔者选取城镇最高20%收入组(高收入群体)和城镇最低20%收入组(低收入群体)作为城镇居民的代表阶层,以这两个阶层之间的收入差距来代表城镇内部居民收入差距。通过建立满足消费最大化的最优收入差距理论模型,利用我国1985年~2009年统计年鉴数据和MATLAB数学软件测算出我国城镇内部最优收入差距路径,为以扩张消费为目的的收入再分配提供有意义的参照系。     

最优政府规模的测度及其与经济效益关系研究

通过对Lynn MacDonald构建的最优政府规模模型进行扩展并构建计量模型,用政府人员规模和资金规模两大指标衡量政府规模,使用我国1990～2013年的宏观统计数据对政府规模和经济效益之间的关系及29个省级行政单位的最优政府规模进行实证分析。结论认为政府规模是影响经济效益的重要因素,资金规模比人员规模的影响要大,部分省级行政单位已经非常接近最优政府规模,但是还有很多省级行政单位存在政府支出不足或政府支出过度等现象。     

Optimal size of the government: the role of the elasticity of substitution

This paper analyzes the optimal fiscal policy in an endogenous growth model with productive public services. Government expenditure, which may be subject to different degrees of congestion, is financed by distortionary income taxation. The standard result on the equality between the growth-maximizing, welfare-maximizing and first-best income tax rates holds if and only if production is Cobb–Douglas or there is proportional congestion. With non-proportional (or in the absence of) congestion, the first-best income tax is lower than the (second-best) welfare-maximizing income tax which, in turn, is lower than the growth-maximizing income tax if the elasticity of substitution is below unity. Under mild conditions these relations are reversed if the elasticity of substitution is above unity. Intuition on these results is also provided.     

Optimal contracting with dynastic altruism: Family size and per capita consumption

We use a Barro–Becker model of endogenous fertility, in which parents are subject to idiosyncratic shocks that are private information (either to labor productivity or taste for leisure), to study the efficient degree of consumption inequality in the long run. The planner uses the trade-off between family size and future consumption and leisure, to provide incentives for workers to reveal their shocks. We show that in this environment, the optimal dynamic contract no longer features immiseration in consumption. We also discuss the implications of the model on the long run properties of family size in the optimal contract and show that the long run trend in dynasty size can be either positive or negative depending on parameters.     

多级政府级次下的经济增长与财政支出规模优化研究

笔者在巴罗经济增长模型的基础上,建立了一个两级政府提供公共物品的经济增长数理模型,说明政府级次划分对经济增长绩效的影响.并采用计量分析的方法,分别对我国中央政府与地方政府财政事权划分的合理性、最优事权划分标准进行了检验与测算.     

Heterogeneity within the euro area: New insights into an old story

We assess cross-country heterogeneity within the eurozone and its evolution over time by measuring the distances between the equilibrium exchange rates' paths of member countries. These equilibrium paths are derived from the minimization of currency misalignments, by matching real exchange rates with their economic fundamentals. Using cluster and factor analyses, we identify two distinct groups of countries in the run-up to the European Monetary Union (EMU), Greece being clearly an outlier at that time. Comparing the results with more recent periods, we find evidence of rising dissimilarities between these two sets of countries, as well as within the groups themselves. Overall, our findings illustrate the building-up of macroeconomic imbalances within the eurozone before the 2008 crisis and the fragmentation between its member countries that followed.     

最优货币区:对东亚国家的经验研究

This paper empirically examines the potential for forming an Optimal Currency Area (OCA) in selected Asian economies, including ASEAN countries, China, Japan and Korea, by testing Generalized Purchasing Power Parity (G-PPP) using Johansen’s cointegration approach. We investigate the long-term real exchange rate of six sub-groups of countries in order to find whether they share the common stochastic trend, as in an OCA, predicted by the G-PPP theory. The date set is monthly based between 1994 and 2003. We find that five sub-groups out of the six in total appear to have significant evidence of the existence of OCAs. This finding reflects the fact that those economies are actually highly integrated and interrelated to each other, and the current regional monetary arrangement (such as, the Chiang Mai Initiative (CMI)) is far lagging behind the real economic link in East Asia.     

Optimal component substitution within system evolution planning considering multiple-vendor,functionally equivalent commercial products

The use of commercial-off-the-shelf components (COTS) in systems with long-term life cycles eventually affects system functionality. Such systems must undergo component substitutions to avoid component obsolescence and maintain the system operationally effective. While performing such substitutions, sustainment costs must be kept within projected budgets, and system and component evolution must seamlessly provide continued availability. However, planning system evolution while minimising costs becomes a competing resource allocation problem (even more so when multiple manufacturers offer functionally equivalent COTS that can satisfy the system requirements). This research presents a mathematical model for calculating system life cycle costs while considering different substitution alternatives, and proposes an optimisation approach and a network model to obtain an optimal substitution sequence based on a minimisation criteria of life cycle costs. It was observed that upgrading the system with available technologies often results in better affordability than keeping the same technologies for the entire system life cycle.     

Optimal control of a multi-cohort fishery

Models of optimal renewable resource exploitation typically assume an equation for total population growth over time irrespective of the age distribution of the stock. By means of the theory of parametric optimal control, this paper outlines a model of a fishery with population varying in both age and time. Instead of an optimal steady-state harvest we derive an optimal harvest age distribution with lower utilization of younger members of the population.     

Trade imbalances within the euro area and with respect to the rest of the world

Many studies have explored the determinants of current account balances in Europe. However, only in a few studies has trade balance been decomposed into intra balance, trade balance vis-à-vis the euro area, and extra balance, trade balance vis-à-vis the rest of the world. This decomposition is necessary for us to understand why some core euro area countries are acting as financial intermediaries for the periphery countries. Furthermore, the determinants of intra and extra balances might be different because nominal exchange rate cannot adjust between the EMU countries while their financial markets are highly integrated. Thus, we apply this decomposition and supplement the previous studies by including a larger set of theoretically plausible explanatory variables, which is derived from the current account literature. Our contribution is twofold: We observe that, contrary to Schmitz and von Hagen (2011), the introduction of a common currency has not increased the elasticity of net capital flows to per capita incomes within the euro area for the member countries. On the other hand, there is a great heterogeneity among the usual determinants of trade balances whether those contribute to intra balances or extra balances. These results increase our understanding of the imbalances in the euro area.     

Tiebout and redistribution in a model of residential and political choice

The paper considers a two-community model with freely mobile individuals. Individuals differ not only in their incomes, but also in their tastes for a local public good. In each jurisdiction, the amount of public services is determined by majority vote of the inhabitants, and local spending is financed by a residence-based linear income tax. When making their residential and political choices, individuals thus face a trade-off between the provisionary and redistributive effects of policies. We analyze this trade-off and show that Tiebout-like sorting equilibria often exist. If the spread in tastes among individuals is very large, an almost perfect sorting according to preferences emerges; otherwise, a partial sorting prevails and stratification into rich and poor communities is more pronounced. Importantly, we demonstrate that all these sorting equilibria exist whether or not individuals are allowed to relocate after voting.     

Measuring the social value of local public goods: an empirical analysis within Paris metropolitan area

A non-linear hedonic model is used to estimate the implicit marginal prices of 17 local public goods in a Paris suburban area on an original data set of some 8200 housing units. The results reveal a robust effect of local public school quality (measured both by the fraction of junior high school students that are at least two years behind grade level and the student/teacher ratio) on house prices. It is observed that housing owners’ marginal willingness to pay for reducing commuting time is roughly similar for public transportation than for car transportation. Another noticeable result is the complete capitalization of local taxes at a discount rate of 3.5%. An illustration of the potential usefulness of the results for Cost–Benefit analysis is also provided.