Extensive-form games and strategic complementarities

I prove the subgame-perfect equivalent of the basic result for Nash equilibria in normal-form games of strategic complements: the set of subgame-perfect equilibria is a nonempty, complete lattice—in particular, subgame-perfect Nash equilibria exist. For this purpose I introduce a device that allows the study of the set of subgame-perfect equilibria as the set of fixed points of a correspondence. My results are limited because extensive-form games of strategic complementarities turn out—surprisingly—to be a very restrictive class of games.     

商业银行危机与房地产泡沫破裂临界值的研究

本文从房地产泡沫破裂会对商业银行贷款产生风险的角度出发,首次提出了房地产泡沫破裂临界值的概念,并且用数理形式给出了定义,分析了影响临界值大小的因素,论述了临界值和贷款风险的关系;另外,参照其它国家和地区的房地产泡沫情况,对我国的房地产泡沫大小及可能的破裂速度给出了估计,计算了泡沫破裂临界值。     

三相异步电动机断相保护器

详述了断相保护器的电路结构与工作原理。当电容C2上的电压上升到BT33C的峰点电压时,小灵敏继电器KA通电,切断电动机的电源,从而避免了三相异步电动机单相运行致使电流过大而被烧毁。为了使小灵敏继电器KA通电充分,能确保其常闭触点断开,及时切断电动机的电源,应使BT33C的电流不会很快降到谷点电流以下,电容C2上的电压能较长时间的大于BT33C的谷点电压。由于电容C2上的电压不能跃变,这样可避免电网三相电压瞬间不平衡造成断相器误动作。     

将数学建模引入高等数学教学中的典型案例

首先阐述了将数学建模思想融入高等数学教学内容中的意义,接着从高等数学中的基本概念和基本定理出发,通过具体案例说明如何将数学建模案例融入在高等数学教学中。最后给出了根据高等数学内容选编的典型建模案例。     

跨越“中等收入陷阱”的消费率变化轨迹研究--基于东亚、拉美部分国家的启示

2013年我国人均GDP达到6900美元，标志着我国已居于“上中等收入”国家行列，正面临“中等收入陷阱”的威胁。本文基于日本、韩国、巴西和阿根廷的发展历程，考察了“中等收入陷阱”区间下消费率的变化轨迹，认为成功跨越“中等收入陷阱”的消费率特征是：消费率走势呈U型特征，由波动性变化演变为平稳性运行，并大致在人均GDP4000美元形成“消费率拐点”。其中，收入因素对“消费率拐点”的培育与形成具有较大的制约作用。同时文章对比分析了低中等收入阶段我国消费率变化轨迹，认为我国在人均GDP4283美元水平下形成“消费率拐点”，但当前消费需求的充分释放仍面临较强的挑战，迫切需要相应的政策措施来强化“消费率拐点”的形成。     

PRICE SETTING OF MARKET MAKERS: A FILTERING PROBLEM WITH ENDOGENOUS FILTRATION

This paper studies the price‐setting problem of market makers under risk neutrality and perfect competition in continuous time. The classic approach of Glosten–Milgrom is followed. Bid and ask prices are defined as conditional expectations of a true value of the asset given the market makers' partial information that includes the customers' trading decisions. The true value is modeled as a Markov process that can be observed by the customers with some noise at Poisson times. A mathematically rigorous analysis of the price‐setting problem is carried out, solving a filtering problem with endogenous filtration that depends on the bid and ask price processes quoted by the market maker. The existence and uniqueness of the bid and ask price processes is shown under some conditions.     

较差质量数据下的返回弹道计算及对落点影响的分析

针对某老式卫星返回时雷达跟踪数据曾发生的测量异常及质量较差等情况，为解决此类数据在返回弹道及落点计算中出现的实际困难以及给出应对措施，基于工程实际情况给出了三种不同建模类型下的弹道计算方法——当前统计解耦扩展卡尔曼滤波（EKF）、动力学建模无迹卡尔曼滤波（UKF）、多项式滑窗最小二乘估计算法，并应用该次质量较差的实际观测数据进行了算法应用效果分析与落点计算情况对比，对计算中的经验及教训进行了总结。研究结果表明，所给出的三种算法在面对较差质量数据时性能差异较大，在工程实际应用中可考虑将多种算法互为参考。研究结果及其经验教训对卫星返回弹道及落点的实时估计的工程实施有一定的参考价值。     

Organic Food at the Point of Purchase: Understanding Inconsistency in Consumer Choice Patterns

The organic food category, while still small in terms of world food production, has continued to grow in many markets in the developed world. This article focuses on understanding the barriers and facilitators to purchasing organic food at the final hurdle: the point of purchase (POP). A qualitative study has identified seven factors that influence buyer behavior at the POP, and these are consumer intention to purchase organic food when entering the retail outlet; habit; availability; false assumptions; visibility and access of organic food; visual and olfactory cues; and price. These can often be the final hurdle to consumers choosing (or not) organic food at the POP.     

Measuring the shopper's attitude toward the point of sale display: Scale development and validation

In Europe alone, marketers invest several hundred million of Euros in marketing activities at the point of sale every year. A prominent role is assigned to display promotions. However, despite their large practical importance, surprisingly, there is no measure to pre-evaluate different displays and their design facets so that the display which reached the best pre-evaluation results may be identified and, if poor rated facets were found, those may be altered before production and rollout of the display in question. Therefore, this paper develops and validates a scale to measure the shopper's attitude toward a point of sale display reflecting all relevant facets of a display from the shopper's point of view. Examination of the scale led to satisfactory results in terms of reliability, validity, and its predictive power for purchase intention. Summarizing, the scale can help to improve display designs prior to rollout, thus, enhancing the efficiency of display promotions.     

Crime prediction by data-driven Green’s function method

We develop an algorithm that forecasts cascading events, by employing a Green’s function scheme on the basis of the self-exciting point process model. This method is applied to open data of 10 types of crimes happened in Chicago. It shows a good prediction accuracy superior to or comparable to the standard methods which are the expectation–maximization method and prospective hotspot maps method. We find a cascade influence of the crimes that has a long-time, logarithmic tail; this result is consistent with an earlier study on burglaries. This long-tail feature cannot be reproduced by the other standard methods. In addition, a merit of the Green’s function method is the low computational cost in the case of high density of events and/or large amount of the training data.