The core and the bargaining set in glove-market games

In a glove-market game, the worth of a coalition is defined as the minimum, over all commodities in the market, of the total quantity that the coalition owns of each commodity. We identify a subclass of these games for which the core and the bargaining set coincide with the set of competitive equilibrium outcomes. We present examples showing that these solution concepts differ outside that subclass. We also illustrate a peculiar behavior of the bargaining set with respect to replication of a glove-market. These examples provide a simple economic setting in which the merits of the various solution concepts may be discussed and compared.Correspondence with Michael Maschler is gratefully acknowledged.This authors work was partly done while visiting the Department of Mathematics, Massachusetts Institute of Technology. Research supported by the Fund for the Promotion of Research at the Technion.     

Casein adsorption on the surfaces of oil-in-water emulsions modified by lecithin

The effects of incorporating an additional component, egg-yolk lecithin, on the properties of oil-in-water emulsions stabilized by casein have been studied. The impact of lecithin on the stability of the emulsions was studied using integrated light scattering and the casein-oil-lecithin interaction was studied with photon correlation spectroscopy combined with breakdown of the adsorbed protein layers by proteolysis. Lecithin was found to enhance the stability of the emulsions at low cascin concentrations, below the limiting surface coverage of 1 mg m⁻² of casein which is found in the absence of lecithin. Conversely, small amounts of casein also stabilized flocculating oil-lecithin emulsions. The hydrodynamic thickness of the adsorbed protein layer on the hydrophobic oil surface was modified by the presence of lecithin. When the total surface area occupied by lecithin was less than 10% (5 mg lecithin for 2 ml oil), the thickness of the adsorbed casein layer was not significantly different from that in the absence of phospholipid. At higher concentrations of lecithin, the adsorbed casein layer had a lower minimum value for the layer thickness of 6.5 nm at low casein concentration and an upper plateau value of 8 nm at saturated adsorption, compared to a low limit of 5 nm and a plateau value of 10 nm in the absence of lecithin, demonstrating that the structure of the adsorbed casein layer was changed by the presence of phospholipid.     

Stable periodic solutions for the hypercycle system

We consider the hypercycle system of ODEs, which models the concentration of a set of polynucleotides in a flow reactor. Under general conditions, we prove the omega-limit set of any orbit is either an equilibrium or a periodic orbit. The existence of an orbitally asymptotic stable periodic orbit is shown for a broad class of such systems.     

合成甲醇反应机理的研究现状

本文叙述了合成甲醇反应机理的研究现状，指出在含铜催化剂上，甲醇合成是ＣＯ＿２加氢的结果，同时伴随有ＣＯ水转化反应。其中间表面化合物的结构至今尚未弄清楚。参考文献５３篇。     

NMR研究溶剂与碱金属离子竞争配位过程

本文研究了锂、铵、钠、铯等盐类在21种溶剂中的~7Li、~(14)N、~(23)Na、~(133)Cs/NMR谱。考察了溶剂对碱金属离子化学位移的影响,求出了浓度系数。并研究了上述离子在15种二元溶剂体系中竞争配位过程,基于NMR数据,测定了等溶剂化点,交换过程平衡常数K及自由能变化△G等热力学参数。     

The Manne-Chao-Wilson algorithm for computing competitive equilibria: A modified version and its implementation

We present a modification of the Manne-Chao-Wilson algorithm for computing competitive equilibria and discuss some of its convergence properties. Numerical experiments involving models with up to 100 price responsive agents are provided.This research has been partially supported by the Belgian Department for Science Policy. We are indebted to Alan Manne for helpful comments; all errors and shortcomings are ours.     

Discretization results for the Huff and Pareto-Huff competitive location models on networks

In this paper we prove that there always exists a finite set that includes an optimal solution for the Huff and the Pareto-Huff competitive models on networks with the assumption of a concave function of the distance. In the Huff model, there is always a vertex of the network that belongs to the solution set. For the Pareto-Huff model, we prove that there is always an optimal solution at, or an ε-optimal solution close to, a vertex or an isodistant point, a new concept introduced in this paper.     

Qualitative study of the competition of drugs in binding to serum albumin

Summary The competitive binding of five drugs and a detergent to bovine serum albumin at pH 7.4 and room temperature was studied by Hummel-Dreyer method in high performance liquid chromatography. The five drugs are: warfarin, sulfinpyrazone, aspirin, quinidine gluconate and lidocaine and the detergent is the sodium dodecyl sulfate (SDS). While the quantitative techniques of Hummel-Dreyer method have been well developed during last twenty years, this paper reports, perhaps for the first time, the qualitative techniques of Hummel-Dreyer method as an analytic tool to ascertain whether a drug would bind to protein and how one drug would affect another drug in binding, if the binding does occur. The results on the basis of qualitative observation indicate the strength of binding in the following order: warfarin > aspriin > lidocaine > sulfinpyrazone > quinidine gluconate. The SDS has capacity to disturb the binding site on the surface of protein.     

过氧化物酶催化反应的底物结构的研究

研究了２３种物对过氧化物酶催化过氢氧化佳味醇反应的竞争性抑制作用，提出抑制常数Ｋｉ值的计算方法，并通过对各种物质抑制常数大小的比较和分析，提出了过氧化物酶催化氧化还原反应的最佳底物结构。     

Fast quantitative detection of sesame oil adulteration by near-infrared spectroscopy and chemometric models

Adulteration of foods has been known to exist for a long time and various analytical tests have been reported to address this problem. Among them, authenticity of sesame oil has attracted much attention. Near-infrared (NIR) spectral quantitative detection models of sesame oil adulterated with other oils are constructed by chemometric methods, i.e., competitive adaptive reweighted sampling (CARS), elastic component regression (ECR) and partial least squares (PLS). Sixty samples adulterated with different proportions of five kinds of other oils of lower price were scanned by a Fourier-transform-NIR spectrometer and the NIR spectra were collected in 4500–10000 cm⁻¹ region by transmission mode. All samples were divided into the training set and an independent test set. Model population analysis has also been carried out and confirms the importance of selecting representative samples. The experimental results indicate that the PLS model using only 10 variables from CARS and the ECR model show similar performance and both are superior to the full-spectrum PLS model. CARS focuses on selecting variables and ECR focuses on optimizing the parameters, implying that both roads lead to the same destination. It seems that NIR technique combined with CARS or ECR is feasible for rapidly detecting sesame oil adulterated with other vegetable oils.