Managing Downstream Competition via Capacity Allocation

Consider a supply chain with one supplier and multiple retailers. The supplier produces a single product and sells it to the retailers, who in turn sell the product to consumers. The supplier has limited production capacity, and the retailers are engaged in a Cournot competition at the consumer/market level. When the sum of the retailer orders exceeds the capacity, the supplier allocates her capacity according to a pre‐announced allocation mechanism. Two mechanisms are considered: proportional allocation and lexicographic allocation. An extensive study of the two allocation mechanisms shows that the lexicographic mechanism has the ability to dampen the competition at the retail level, increasing the profits for both the supplier and the supply chain.     

A Nonatomic‐Game Approach to Dynamic Pricing under Competition

We study a revenue management problem involving competing firms. We assume the presence of a continuum of infinitesimal firms where no individual firm has any discernable influence over the evolution of the overall market condition. Under this nonatomic‐game approach, the unanimous adoption of an equilibrium pricing policy by all firms will yield a market‐condition process that in turn will elicit the said policy as one of the best individual responses. For both deterministic‐ and stochastic‐demand cases, we show the existence of equilibrium pricing policies that exhibit well‐behaving monotone trends. Our computational study reveals many useful insights, including the fact that only a reasonable number of firms are needed for our approach to produce near‐rational pricing policies.     

Strategic Liquidity Provision in Limit Order Markets

We characterize and prove the existence of Nash equilibrium in a limit order market with a finite number of risk‐neutral liquidity providers. We show that if there is sufficient adverse selection, then pointwise optimization (maximizing in p for each q) in a certain nonlinear pricing game produces a Nash equilibrium in the limit order market. The need for a sufficient degree of adverse selection does not vanish as the number of liquidity providers increases. Our formulation of the nonlinear pricing game encompasses various specifications of informed and liquidity trading, including the case in which nature chooses whether the market‐order trader is informed or a liquidity trader. We solve for an equilibrium analytically in various examples and also present examples in which the first‐order condition for pointwise optimization does not define an equilibrium, because the amount of adverse selection is insufficient.     

融资融券能促进标的证券的定价效率吗?——基于上证50ETF的实证研究

通过分析ETF作为融资融券标的前后折溢价率水平变化及其影响因素,发现融资融券推出和交易费用减免都显著提高了ETF的定价效率。具体而言,融资融券推出与交易费用减免都是通过影响ETF的套利成本来提高其定价效率的。交易费用减免一方面直接降低了套利显性成本,另一方面通过提高市场流动性降低了套利隐形成本;而融资融券推出为ETF交易提供了额外的套利渠道,降低了市场非流动性对原有的跨市场套利的影响,从而提高其定价效率。     

基于收益管理理论的衰退期产品赊销的动态定价问题研究

随着买方市场的形成,越来越多的企业选择赊销的模式来占领市场.特别是当产品处于衰退期时,若能通过有效的价格手段对不同信用等级的客户实行差别定价,在此基础上通过合理的定价刺激需求,则可能使企业的收益实现最大化.文章运用收益管理理论,依据不同客户的信用等级对客户实行不同的定价标准,并在分析衰退期产品价格变动趋势的基础上,求解出最优价格变动时间阀值,使企业能够据此选择最佳的定价策略;最后建立收益估测模型,通过仿真算例验证实行动态定价的收益将大于单一定价的收益.     

我国天然气定价机制改革及其路径选择研究

结合天然气的主要供给环节,分析了成本加成法和市场净回值法两种定价方法的异同,回顾了北美、西欧、俄罗斯等地区和国家的天然气定价机制及其改革的实践经验,同时对比分析了我国天然气定价机制改革的现状和存在的问题,并提出了相关改革建议。     

A Generalization of Geometric Brownian Motion with Applications

Although geometric Brownian motion has a great variety of applications, it can not cover all the random phenomena. The purpose of this article is to propose a model that generalizes geometric Brownian motion. We present some interesting applications of this model in financial engineering and statistical inferences for the unknown parameters.     

On the Nonparametric Mean Residual Life Estimator in Length-biased Sampling

In this article, we discuss nonparametric estimation of a mean residual life function from length-biased data. Precisely, we prove strong uniform consistency and weak converge of the nonparametric mean residual life estimator in length-biased setting.     

Obtaining a Trapezoidal Distribution

Given a most believed value for a quantity together with upper and lower possible deviations from that value, a rectangular distribution might be used to represent state-of-knowledge about the quantity. If the deviations are themselves known by probability distributions, and the value conditioned on the deviations is rectangular, then the marginal distribution of the value is determined by the distributions of the deviations. Here we show under quite general conditions that conversely, given the marginal distribution, the distributions of the deviations are uniquely determined. The case in which the marginal distribution is trapezoidal is studied in some detail.     

A generalization of mosteller's test

A generalization of Mosteller's test for slippage of the location parameter is proposed. The distribution of the test statistic under the null hypothesis is obtained and the power of the test is compared with that of Mosteller's test