Heuristic algorithms for a second-best congestion pricing problem

Designing a congestion pricing scheme involves a number of complex decisions. Focusing on the quantitative parts of a congestion pricing system with link tolls, the problem involves finding the number of toll links, the link toll locations and their corresponding toll level and schedule. In this paper, we develop and evaluate methods for finding the most efficient design for a congestion pricing scheme in a road network model with elastic demand. The design efficiency is measured by the net social surplus, which is computed as the difference between the social surplus and the collection costs (i.e. setup and operational costs) of the congestion pricing system. The problem of finding such a scheme is stated as a combinatorial bi-level optimization problem. At the upper level, we maximize the net social surplus and at the lower level we solve a user equilibrium problem with elastic demand, given the toll locations and toll levels, to simulate the user response. We modify a known heuristic procedure for finding the optimal locations and toll levels given a fixed number of tolls to locate, to find the optimal number of toll facilities as well. A new heuristic procedure, based on repeated solutions of a continuous approximation of the combinatorial problem is also presented. Numerical results for two small test networks are presented. Both methods perform satisfactorily on the two networks. Comparing the two methods, we find that the continuous approximation procedure is the one which shows the best results.     

Efficient trinomial trees for local-volatility models in pricing double-barrier options

A local-volatility (LV) model captures the volatility smile while retaining the preference freedom of the Black–Scholes model. Past attempts to construct a smile-consistent tree for the LV surface do not guarantee validity. This paper presents an efficient and valid smile-consistent tree for the LV model. The only assumption is that the LV surface be upper- and lower-bounded. With this tree, double-barrier options can be priced with fast convergence even in the presence of volatility smile. This is confirmed numerically. An implied tree is also presented. It recovers the LV surface reasonably well.     

Intertemporal pricing strategies for fashion tech products with consumption externalities

With the rapid development of technology, more and more products tend to both meet customers’ functional needs and provide stylish consumption experiences at thesame time. We define them as “fashion tech” products. In practice there exist two opposite consumption externalities associated with “fashion tech” products. One, some customers are more likely to purchase the product if fewer customers can afford or have access to it to advertise their prosperity or good taste. In contrast, other customers’ utility increases with the rising number of other customers. Thus the firm needs to consider such consumption externalities in their pricing decisions in order to appropriately position products and maximize profits. In such contexts, this paper optimizes intertemporal pricing strategies for fashion tech products selling to strategic customers with two kinds of externalities. We find that a markdown strategy is always optimal. In addition, it is appropriate for the firm to use slight markdowns when both the fraction of snobs and probability of stockout are small or use sharp markdowns otherwise.     

网络服务经济环境下的服务产品定价方法研究

通过对已有文献的梳理并结合网络服务经济环境下服务产品的特点将网络服务产品分为知识产权、内容和资源版权以及数据资产三大类别,并根据不同类别资产的特征先系统分析了其定价的影响因素和评估指标体系;再分别梳理了三类产品传统和新兴的定价模型和方法;最后基于网络服务产品的影响因素和评估指标体系提出了两种探究网络服务环境下服务产品定价的基本模型。     

中国演出产品定价机制及完善对策探究

在文化消费多样化和移动互联网技术兴起的发展趋势下,中国演艺市场面临着高成本、低回报的经营困境,作为新兴产业的演艺行业,不管是运行秩序还是行业规则方面,都有需要完善的地方。以演出产品定价为主要研究视角,提出了演出产品定价存在机制不完善、价格水平整体偏高、炒票现象严重等问题,并从建立演出产品价格管理体系、实行差异化定价策略、科学管理演艺市场3个方面提出了建议。笔者将鲍莫尔的病态成本理论作为演艺产品差异化定价的理论依据,菲利普·莱斯利的百老汇价格歧视作为将科学管理手段应用于演出产品价格管理的例证,对演艺产品定价机制及完善对策进行了初步探究。     

LBMA黄金定价机制对国内大宗商品定价的启示

存续近百年的伦敦黄金定盘价被LBMA黄金定价机制取代后,其国际影响力不断增强,运行稳定。LBMA黄金定价机制的运作过程与原有定价机制相比具有独特优势。我国现有的大宗商品定价模式主要有三种,在运行过程中,各自存在缺陷。未来国内大宗商品定价可以借鉴LBMA黄金定价机制的经验,从采用电子盘定价、参与企业开放化、期货交易所参与定价等方面进行改进。     

Alternative marginal-cost pricing for road networks

In the literature, several studies have algebraically characterized the set of toll vectors or patterns that, when added to a user equilibrium problem, its solution would be system optimal. Toll vectors in this set are termed “valid.” While the toll vector commonly advocated in the literature, i.e., one that equates the toll on each link to its marginal external cost, is always valid, other valid toll vectors generally exist and many leave some utilized links in the network untolled. On the surface, this may appear unreasonable and seems to violate the principle of marginal-cost pricing. This note shows that, when travel demands are elastic, all valid toll vectors satisfy this principle, in that the total tolls for each path equals the congestion externality an additional traveler on the path imposes on others.     

Pathwise moderate deviations for option pricing

We provide a unifying treatment of pathwise moderate deviations for models commonly used in financial applications, and for related integrated functionals. Suitable scaling enables us to transfer these results into small‐time, large‐time, and tail asymptotics for diffusions, as well as for option prices and realized variances. In passing, we highlight some intuitive relationships between moderate deviations rate functions and their large deviations counterparts; these turn out to be useful for numerical purposes, as large deviations rate functions are often difficult to compute.     

Alternative tilts for nonparametric option pricing

This study generalizes the nonparametric approach to option pricing of Stutzer, M. (1996) by demonstrating that the canonical valuation methodology introduced therein is one member of the Cressie–Read family of divergence measures. Alhough the limiting distribution of the alternative measures is identical to the canonical measure, the finite sample properties are quite different. We assess the ability of the alternative divergence measures to price European call options by approximating the risk‐neutral, equivalent martingale measure from an empirical distribution of the underlying asset. A simulation study of the finite sample properties of the alternative measure changes reveals that the optimal divergence measure depends upon how accurately the empirical distribution of the underlying asset is estimated. In a simple Black–Scholes model, the optimal measure change is contingent upon the number of outliers observed, whereas the optimal measure change is a function of time to expiration in the stochastic volatility model of Heston, S. L. (1993). Our extension of Stutzer's technique preserves the clean analytic structure of imposing moment restrictions to price options, yet demonstrates that the nonparametric approach is even more general in pricing options than originally believed. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:983–1006, 2010     

Consumer response to norm-breaking pricing events in e-commerce

e-commerce allows for many innovations in pricing: some have been embraced by consumers, others rejected. Using an online experiment, we explore the role of norms in predicting consumer responses to differential pricing arrived at either by violating an established pricing norm (dynamic posted pricing; setting prices based on individual consumer demand) or not (two retailers pricing differently). Our findings support the critical role of norms, such that belief in the norm is a strong predictor of negative responses (i.e., fairness, trust, purchase, search and complaint intentions) and priming people to consider norms generally increases the negative response. We also find that prior trust in the firm acts as a partial buffer against the negative response to norm breaking but at a diminishing rate as prior trust increases.     

Noncausal affine processes with applications to derivative pricing

Linear factor models, where the factors are affine processes, play a key role in Finance, since they allow for quasi-closed form expressions of the term structure of risks. We introduce the class of noncausal affine linear factor models by considering factors that are affine in reverse time. These models are especially relevant for pricing sequences of speculative bubbles. We show that they feature nonaffine dynamics in calendar time, while still providing (quasi) closed form term structures and derivative pricing formulas. The framework is illustrated with term structure of interest rates and European call option pricing examples.     

Persuasion knowledge and consumer reactions to pricing tactics

The current research investigates consumer knowledge of the pricing tactics that marketers frequently employ and the effects of that knowledge on responses to various price offers. In the research, a series of studies were conducted to develop and validate a knowledge measure designed to assess pricing tactic persuasion knowledge (PTPK). Consistent with the persuasion knowledge model, individuals with higher levels of PTPK were shown to have more knowledge-related thoughts regarding pricing tactic information than those with low levels of PTPK. Additionally, pricing tactic persuasion knowledge was shown to be more predictive of consumer choices regarding quantity surcharge offers and purchase interest evaluations following exposure to tensile claim offers (e.g., “Save up to 50 percent Off”) than several competing constructs.     

扩展保证产品定价策略分析

对产品保证与扩展保证进行了对比分析,揭示了产品扩展保证的特征和价值。从保证成本、市场需求、营销目标等多个角度剖析了扩展保证定价影响因素,基于扩展保证的多重功效,综合考虑扩展保证销售目标、需求者风险特征等的不同,详细分析了不同情形下扩展保证的定价策略。     

Strategies to detect and reduce counterfeiting activity

While at one time counterfeit products were largely restricted to watches, designer apparel, and movies, today counterfeiting is a major problem in such diverse product categories as pharmaceuticals, automotive parts, and computer software. There are four distinct types of counterfeits: knockoffs, counterfeits that are reverse engineered from genuine goods, goods produced by outsourced suppliers on “third shifts,” and goods that do not meet a manufacturer's standards but are not properly labeled as seconds or destroyed. The quality of some counterfeits is so good that some major retailers have unknowingly purchased counterfeits. But while there are new forms of counterfeit goods, there are also new strategies for combating counterfeiting. This article describes how to detect and reduce counterfeiting activity, via a plan which consists of four steps: (1) developing early warning signals of counterfeiting; (2) budgeting to monitor, deter, and remove counterfeits; (3) using demand-side strategies to deter counterfeiting; and (4) using supply-side strategies to deter counterfeiting.