On Sraffa's Standard commodity: is its price invariant with respect to changes in income distribution?

In his 1960 book, Sraffa suggested using a composite commodity,which he called the ‘Standard commodity’, to solveRicardo's search for an invariable measure of value, i.e., astandard capable of isolating the price movements of any othercommodity induced by changes in income distribution. The absencein Sraffa's book of an explicit proof of the invariance propertyof this standard gave rise to many misunderstandings about itsmeaning and its role as an invariable measure of value. In orderto clear up these questions, Bellino (On Sraffa's Standard commodity,Cambridge Journal of Economics, vol. 28, 121–32, 2004)has proposed a ‘proper’ definition of an ‘invariablemeasure of value’, showing that Sraffa's Standard commoditydoes fulfil the requirements of this definition. He claims thatthe fulfilment of this property (but not the constancy of its‘nominal’ price) qualifies the Standard commodityas an invariable measure of value. In this paper, a proof ofthe invariance of the price of the Standard commodity with respectto changes in income distribution is given, and the equivalenceof this property with Bellino's definition of invariance isshown.     

Using volume to prove Sperner’s Lemma

We provide a novel proof of Sperner’s Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known. The research of A. McLennan is partly funded by the Australian Research Council grant DP0773324. This paper was partly written while he was a member of the Discipline of Economics, The University of Sydney. McLennan also gratefully acknowledges the hospitality of the Economic Theory Center of the University of Melbourne. The research of R. Tourky is partly funded by the Australian Research Council grant A00103450. This paper was partly written while he was a member of the Department of Economics, Purdue University.     

一种广义Sirpinski垫片的Hausdorff测度

Sirpinski垫片具有严格的的自相似性,本文给出了一种广义Sirpinski垫片的构造,并得到了它的Hausdorff测度准确值。     

Poverty Orderings

This paper reviews the literature of partial poverty orderings. Partial poverty orderings require unanimous poverty rankings for a class of poverty measures or a set of poverty lines. The need to consider multiple poverty measures and multiple poverty lines arises inevitably from the arbitrariness inherent in poverty comparisons. In the paper, we first survey the ordering conditions of various individual poverty measures for a range of poverty lines; for some measures necessary and sufficient conditions are identified while for others only some easily verifiable sufficient conditions are established. These ordering conditions are shown to have a close link with the stochastic dominance relations which are based on the comparisons of cumulative distribution functions. We then survey the ordering conditions for various classes of poverty measures with a single or a set of poverty lines; in all cases necessary and sufficient conditions are established. These conditions again rely on the stochastic dominance relations or their transformations. We also extend the relationship between poverty orderings and stochastic dominance to higher orders and explore the possibility and the conditions of increasing the power of poverty orderings beyond the second degree dominance condition.     

Differentiating ambiguity: an expository note

Ghirardato et al. J Econ Theory 118:133–173, 2004 propose a method for distinguishing between perceived ambiguity and the decision-maker’s reaction to it. They study a general class of preferences which they refer to as invariant biseparable. This class includes CEU and MEU. This note presents some examples which illustrate their results. Research supported by ESRC grant no. RES-000-22-0650. For comments and discussion we would like to thank Klaus Nehring and a seminar audience at ESEM, Vienna 2006.     

湘西州城镇体系建设的基本构想

城镇体系是一定区域内的城镇聚集体,它的形成与发展有赖于发达的经济和便利的交通条件。湘西州地处偏远山区,自然地理环境较差,交通闭塞,经济贫困,城镇化水平低,城镇体系不健全。文章透视了该地区城镇体系发展现状,并对未来城镇体系建设进行大胆构想,提出了具体的建设措施。     

人力资本测算及其应用研究综述

从人力资本测算与相关理论、人力资本测算方法与相关应用两个方面的联系对人力资本测算及其应用研究进行总结,并展望未来可能的应用研究发展。人力资本测算和应用虽然得到前所未有的重视,大量的研究成果涌现,但远未达到成熟阶段,许多研究还有待深入和进一步的发展,更多的应用领域有待开发和拓展。     

HACCP在观赏鱼配合饲料中的应用

本文对HACCP对观赏鱼配合饲料的应用进行了分析,并提出了相应的风险质量管控措施,仅供参考。     

长沙市芙蓉综合楼基坑支护设计

在湖南省长沙市芙蓉综合楼基坑支护工程中,针对人工填土、淤泥质粘土等工程性能差的坑壁土体,采用排桩式土钉墙技术进行支护,经济效益显著。