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Deciphering the Two-Sided Market Model of Rochet and Tirole: An Intricate Undertaking 解读罗切特和梯若尔的双边市场模型:一项复杂的工作
Pub Date : 2021-07-27 DOI: 10.2139/ssrn.3894541
Adriaan ten Kate
One of the most frequently cited articles in the economics literature of this millennium is that on platform competition in two-sided markets by Rochet and Tirole (2003). Yet it is probably also among the least understood. I have several reasons to think so. One is that the two-sided market model of the article is introduced using a highly confusing language and leaving many underlying assumptions unstated. Another is that the text is littered with mathematical formulae with scant explanation of why they are there, and even with mistakes in them. But the most important reason is that the model does not fit the story told around it, and pretends to have a much broader scope than it actually has. In this paper, I spell out the key assumptions and rephrase the model in a more transparent way, so as to unveil what it really stands for. Be prepared for some disappointment!
本千年经济学文献中最常被引用的文章之一是Rochet和Tirole(2003)关于双边市场中的平台竞争的文章。然而,它可能也是最不为人所知的。我有几个理由这样认为。一个是,文章中的双边市场模型使用了一种非常令人困惑的语言,并且没有说明许多潜在的假设。另一个原因是,教材中充斥着数学公式,却很少解释为什么会出现这些公式,甚至还有错误。但最重要的原因是,该模型并不符合围绕它的故事,并假装拥有比实际更广泛的范围。在本文中,我阐明了关键假设,并以更透明的方式重新表述了模型,从而揭示了它真正代表的含义。做好失望的准备吧!
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引用次数: 0
Strategic Trading, Welfare and Prices with Futures Contracts 战略交易,福利和期货合约价格
Pub Date : 2021-07-22 DOI: 10.2139/ssrn.3488037
Hugues Dastarac
I study the effects of allowing futures contracts on an asset in a dynamic market when competition is imperfect. I first show that imperfect competition creates a market incompleteness: by delaying trade to mitigate price impact in the spot market, buyers (sellers) face the risk that the price unexpectedly increases (decreases) due to a supply shock. Futures with maturity shorter than traders' horizon would allow them to share this risk. Second, I show that once futures are introduced, traders want to manipulate their payoff: long futures want to buy the asset at maturity to raise the spot price, and conversely for shorts. In equilibrium, traders choose negative hedge ratios because of manipulation: spot sellers (buyers) buy (sell) forward, and reduce their positions when volatility is higher. Unless manipulation is impeded, traders traders are better off without futures. Third, because of imperfect competition, the spot price can be below or above the futures price, depending on supply shock expectation: an arbitrage opportunity arises without market segmentation.
我研究在竞争不完全的动态市场中,允许对一种资产签订期货合约的影响。我首先表明,不完全竞争造成了市场的不完全性:通过延迟交易来减轻现货市场的价格影响,买方(卖方)面临由于供应冲击而导致价格意外上涨(下降)的风险。期限短于交易员预期的期货可以让他们分担这种风险。其次,我展示了一旦期货被引入,交易者想要操纵他们的收益:多头期货想要在到期时购买资产以提高现货价格,而空头则相反。在均衡状态下,交易者选择负对冲比率是因为操纵:现货卖家(买家)买入(卖出)远期,并在波动性较高时减少头寸。除非操纵行为受到阻碍,否则没有期货交易对交易员更好。第三,由于不完全竞争,现货价格可以低于或高于期货价格,这取决于供应冲击预期:在没有细分市场的情况下,套利机会就出现了。
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引用次数: 0
The Welfare Effects of Dynamic Pricing: Evidence from Airline Markets 动态定价的福利效应:来自航空市场的证据
Pub Date : 2021-06-28 DOI: 10.2139/ssrn.3026383
Kevin R. Williams
Airfares fluctuate due to demand shocks and intertemporal variation in willingness to pay. I estimate a model of dynamic airline pricing accounting for both sources of price adjustments using flight‐level data. I use the model estimates to evaluate the welfare effects of dynamic airline pricing. Relative to uniform pricing, dynamic pricing benefits early‐arriving, leisure consumers at the expense of late‐arriving, business travelers. Although dynamic pricing ensures seat availability for business travelers, these consumers are then charged higher prices. When aggregated over markets, welfare is higher under dynamic pricing than under uniform pricing. The direction of the welfare effect at the market level depends on whether dynamic price adjustments are mainly driven by demand shocks or by changes in the overall demand elasticity.
由于需求冲击和支付意愿的跨期变化,机票价格波动。我估计了一个动态航空公司定价模型,考虑了两个来源的价格调整,使用飞行水平的数据。我使用模型估计来评估航空公司动态定价的福利效应。相对于统一定价,动态定价有利于早到的休闲消费者,而牺牲了晚到的商务旅行者的利益。尽管动态定价确保了商务旅行者的座位可用性,但这些消费者随后要支付更高的价格。在市场上,动态定价下的福利高于统一定价下的福利。福利效应在市场层面的走向取决于动态价格调整主要是由需求冲击驱动还是由总需求弹性的变化驱动。
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引用次数: 25
Precommitment-based Pricing Precommitment-based定价
Pub Date : 2021-06-23 DOI: 10.2139/ssrn.3872571
K. Berger, Christina Schamp, Mark Heitmann, K. Wertenbroch
In service marketing, customers typically pay more when they use more. Based on this principle, various non-linear pricing plans or flat-rate tariffs attempt to lure customers into higher use and higher-revenue contracts. An emerging marketing practice we term precommitment-based pricing turns these principles around and asks customers to pay extra when they use the service too little. For example, a local fitness club offers customers a discount when they reach a minimum training frequency, and those who fall short pay a premium. This form of pricing aligns directly with customer objectives and assists them in achieving their goals. In this research, we assess which type of precommitment-based pricing is best suited to pay off for marketers and customers alike. We study whether refunds for high use (prepaid) or premium payments for low use (postpaid) are more effective and find empirically that these different types of payment have a differential impact on service adoption, goal attainment, and retention. Five empirical studies in three service domains demonstrate that prepaid contracts attract more customers, but postpaid contracts increase goal achievement and, thus, loyalty. We test boundary conditions and discuss practical implications on how to implement precommitment-based pricing.
在服务营销中,顾客通常使用得越多,支付的就越多。基于这一原则,各种非线性定价计划或统一费率试图吸引客户签订更高使用量和更高收入的合同。一种我们称之为“预承诺定价”的新兴营销实践颠覆了这些原则,要求客户在使用服务过少时支付额外费用。例如,当地一家健身俱乐部为达到最低训练频率的顾客提供折扣,而低于最低训练频率的顾客则支付额外费用。这种形式的定价直接与客户的目标一致,并帮助他们实现目标。在这项研究中,我们评估哪种类型的基于预承诺的定价最适合为营销人员和客户带来回报。我们研究了高使用率的退款(预付)或低使用率的付费(后付费)是否更有效,并从经验上发现,这些不同类型的支付对服务采用、目标实现和留存率有不同的影响。三个服务领域的五项实证研究表明,预付合同吸引了更多的客户,但后付费合同提高了目标实现,从而提高了忠诚度。我们测试了边界条件,并讨论了如何实施基于预承诺的定价的实际影响。
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引用次数: 0
Innovative Dynamic Pricing: The Potential Benefits of Early-Purchase Reward Programs 创新动态定价:早期购买奖励计划的潜在好处
Pub Date : 2021-06-14 DOI: 10.2139/ssrn.3150572
Yossi Aviv, Mike Mingcheng Wei
We propose a scientific, game-theoretic model in which a monopolist sells a fashion product in a market consisting of strategic consumers. Research papers on this subject have studied the adverse consequences of strategic consumer behavior, and have proposed a variety of mechanisms to counteract this phenomenon. In this work, we introduce a very broad class of mechanisms which we refer to as early-purchase reward (EPR) programs. Such class includes, but is not limited to strategies such as price-matching, price commitment, and capacity rationing. Confining ourselves to a simple but tractable model, we are able to obtain a complete analytical characterization of the optimal EPR program that a seller should offer to its consumers. Such a program maintains a structure that consists of two components: (1) a promised refund ("participation bonus") that segments the market over the course of the season, and (2) a "modified price matching guarantee" that serves as a lever to counteract strategic consumer behavior. The latter component protects consumers against price drops, but charges them for the fact that they get to enjoy the product by consuming it earlier rather than later in the season. We find that optimal EPR programs are particularly valuable when the inventory and the degree of fashion are high. We have also conducted a numerical analysis to further compare an EPR program (heuristic) to an optimal price-matching strategy, in a rich modelling framework that consists of market size uncertainty, production costs, mixture of strategic and non-strategic consumers, and more. Our results suggest that EPR programs can be advantageous in settings involving modest-to-high degrees of fashion and high degrees of market size uncertainty, regardless of the percentage of strategic consumers in the market.
我们提出了一个科学的博弈论模型,其中垄断者在由战略消费者组成的市场中销售时尚产品。关于这一主题的研究论文研究了战略性消费者行为的不良后果,并提出了各种机制来抵消这一现象。在这项工作中,我们引入了一种非常广泛的机制,我们称之为早期购买奖励(EPR)计划。此类策略包括但不限于价格匹配、价格承诺和容量配给等策略。将我们自己限制在一个简单但易于处理的模型中,我们能够获得卖方应该向消费者提供的最优EPR计划的完整分析表征。这样的计划维持了一个由两个部分组成的结构:(1)承诺退款(“参与奖金”),在整个赛季中细分市场;(2)“修改后的价格匹配保证”,作为抵制战略性消费者行为的杠杆。后者可以保护消费者免受价格下跌的影响,但同时也会让消费者因为提前而不是晚些时候消费而享受到产品的乐趣。我们发现,当库存和时尚程度较高时,最优EPR方案特别有价值。我们还进行了数值分析,以进一步比较EPR计划(启发式)与最优价格匹配策略,在一个丰富的建模框架中,该框架由市场规模不确定性、生产成本、战略和非战略消费者的混合等组成。我们的研究结果表明,无论市场中战略消费者的比例如何,EPR计划在涉及中度至高度时尚和高度市场规模不确定性的环境中都是有利的。
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引用次数: 4
Three Remarks On Asset Pricing 关于资产定价的三点评论
Pub Date : 2021-05-24 DOI: 10.2139/ssrn.3852261
Victor Olkhov
We consider the time interval Δ during which the market trade time-series are averaged as the key factor of the consumption-based asset-pricing model that causes modification of the basic pricing equation. The duration of Δ determines Taylor series of investor’s utility over current and future values of consumption. We present consumption at current and future moments as sums of their mean values and perturbations during Δ of the price at current moment t and perturbations of the payoff at day t+1. For linear and quadratic Taylor series approximations of the basic equation we obtain new relations on mean price, mean payoff, their volatilities, skewness and amount of asset ξmax that delivers max to investor’s utility. The stochasticity of market trade time-series defines random properties of the asset price time-series during Δ. We introduce new market-based price probability measure entirely determined by frequency-based probability measures of the market trade value and volume. The conventional frequency-based price probability is a very special case of the market-based price probability measure when all trade volumes during Δ equal unit. Prediction of the market-based price probability at horizon T equals forecast of the market trade value and volume probabilities at same horizon. The similar Taylor series and probability measures alike to market-based price probability can be used as approximations of different versions of asset pricing, financial and economic models that describe relations between economic and financial variables averaged during some time interval Δ.
我们考虑市场交易时间序列平均的时间间隔Δ作为基于消费的资产定价模型的关键因素,导致基本定价方程的修改。Δ的持续时间决定了投资者效用除以当前和未来消费价值的泰勒级数。我们将当前和未来时刻的消费表示为当前时刻t价格的平均值和Δ期间的扰动和第t+1天支付的扰动的总和。对于基本方程的线性和二次泰勒级数逼近,我们得到了平均价格、平均收益、波动性、偏度和向投资者提供最大效用的资产数量的新关系。市场交易时间序列的随机性定义了Δ期间资产价格时间序列的随机性。我们引入了新的基于市场的价格概率度量,完全由基于频率的市场交易价值和交易量的概率度量决定。传统的基于频率的价格概率是市场价格概率度量的一种非常特殊的情况,当Δ期间的所有交易量相等时。在视界T上市场价格概率的预测等于同一视界上市场交易价值和交易量概率的预测。类似于基于市场的价格概率的泰勒级数和概率度量可以用作资产定价、金融和经济模型的不同版本的近似值,这些模型描述了在一定时间间隔内平均的经济和金融变量之间的关系Δ。
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引用次数: 8
Nonlinear Pricing in the Transport Industry and the Gains from Trade 运输行业的非线性定价与贸易收益
Pub Date : 2021-03-18 DOI: 10.2139/ssrn.3807170
Zheng Han, D. Fujii
Recent empirical researches documented that there exists nonlinear pricing phenomenon in the shipping industry. This paper strives to show how this empirical regularity would alter conventional results in trade literature. This paper shows that when nonlinear pricing in shipping industry is considered, while the average productivity is higher conducive to higher welfare level, the gains from trade is generally lower than the situation without. In addition, the model built in this paper offers micro foundations for additive trade cost and features endogenous response of shipping charges to iceberg trade cost, an empirical finding emphasized in Hummels et al. (2009). In a much broader sense, this paper argues that heterogeneous firm model offers a lens through which traditional results on some interesting objects, e.g. gains from trade, could be altered.
近年来的实证研究表明,航运业存在非线性定价现象。本文力求展示这种经验规律将如何改变贸易文献中的传统结果。本文表明,在考虑航运业非线性定价的情况下,虽然平均生产率越高有利于提高福利水平,但贸易收益普遍低于没有非线性定价的情况。此外,本文构建的模型为附加贸易成本提供了微观基础,并具有运费对冰山贸易成本的内生响应,Hummels et al.(2009)强调了这一实证发现。从更广泛的意义上讲,本文认为异质企业模型提供了一个视角,通过这个视角,一些有趣对象(如贸易收益)的传统结果可以被改变。
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引用次数: 2
Real-Time Price Elasticity in Electricity: Evaluating Regression-Based Methods 电力的实时价格弹性:评估基于回归的方法
Pub Date : 2021-02-23 DOI: 10.2139/ssrn.3732118
J. Chong
With access to highly-detailed data, this paper presents a method of accurately computing real-time price elasticity of demand in wholesale electricity markets. The resulting values facilitate the first empirical validation of regression-based estimates of price elasticities, for which the accuracy has never before been evaluated.
在获得详细数据的基础上,提出了一种准确计算电力批发市场实时需求价格弹性的方法。所得值有助于对基于回归的价格弹性估计进行首次实证验证,其准确性此前从未被评估过。
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引用次数: 0
Reference Pricing for Healthcare Services 医疗保健服务的参考定价
Pub Date : 2020-12-29 DOI: 10.2139/ssrn.3176280
S. Nassiri, Elodie Adida, H. Mamani
Problem definition: The traditional payment system between an insurer and providers does not incentivize providers to limit their prices, nor patients to choose less expensive providers, hence contributing to high insurer expenditures. Reference pricing has been proposed as a way to better align incentives and control the rising costs of healthcare. In this payment system, the insurer determines the maximum amount that can be reimbursed for a procedure (reference price). If a patient selects a provider charging more than the reference price, the patient is responsible for the entire portion above it. Our goal is to understand how reference pricing performs relative to more traditional payment systems. Academic/practical relevance: Our results can help healthcare leaders understand when reference pricing has the potential to be a successful alternative payment mechanism, what its impact on the different stakeholders is, and how to best design it. Methodology: We propose a game-theoretical model to analyze the reference pricing payment scheme. Our model incorporates an insurer that chooses the reference price, multiple competing price-setting providers, and heterogeneous patients who select a provider based on a multinomial logit choice model. Results: We find that the highest-priced providers reduce their prices under reference pricing. Moreover, reference pricing often outperforms the fixed and the variable payment systems both in terms of expected patient utility and insurer cost but incurs a loss in the highest-priced providers’ profit. Furthermore, we show that in general the insurer utility is often higher under reference pricing unless the insurer is a public nonprofit insurer that weighs the providers’ utility as much as its own cost. Managerial implications: Overall, our findings indicate that reference pricing constitutes a promising payment system for “shoppable” healthcare services as long as the insurer does not act similar to a public nonprofit insurer.
问题定义:保险公司和医疗服务提供者之间的传统支付系统不能激励医疗服务提供者限制他们的价格,也不能激励患者选择更便宜的医疗服务提供者,因此导致保险公司的支出很高。参考定价已被提议作为一种更好地调整激励和控制医疗保健成本上升的方法。在这个支付系统中,保险公司确定一个程序可以报销的最大金额(参考价格)。如果病人选择了一个收费高于参考价的医疗机构,病人要为高于参考价的部分负责。我们的目标是了解参考定价相对于传统支付系统的表现。学术/实践相关性:我们的研究结果可以帮助医疗保健领导者了解参考定价何时有可能成为一种成功的替代支付机制,它对不同利益相关者的影响是什么,以及如何最好地设计它。方法:提出了一个博弈论模型来分析参考定价支付方案。我们的模型结合了选择参考价格的保险公司、多个竞争性定价提供者和基于多项logit选择模型选择提供者的异质患者。结果:我们发现在参考定价下,价格最高的供应商降低了价格。此外,参考定价在预期患者效用和保险公司成本方面往往优于固定和可变支付系统,但在价格最高的供应商的利润中会产生损失。此外,我们表明,一般情况下,在参考定价下,保险公司的效用往往更高,除非保险公司是一家公共非营利性保险公司,它将提供者的效用与自身成本同等重视。管理启示:总体而言,我们的研究结果表明,只要保险公司不采取类似于公共非营利保险公司的行为,参考定价构成了一个有前途的“可购物”医疗服务支付系统。
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引用次数: 8
Food Bank Donations and Retail Pricing 食品银行捐赠和零售价格
Pub Date : 2020-12-06 DOI: 10.2139/ssrn.3743633
John Lowrey, T. Richards, S. Hamilton
Food banks are an important part of the food-retailing setting. In 2018, food banks delivered a total of 1.4 billion pounds of donated food to 51.4 million clients. Perhaps more importantly, food banks serve as an important outlet for food that would otherwise be discarded in land-fills, or composted. Despite the economic and social importance of food banks, we know very little of their economic role in food distribution. In this article, we explain the existence of food banks as an essential mechanism to the food-retailing function, permitting food retailers to price-discriminate between high-valuation consumers who visit their stores, and low-valuation consumers who do not. Donating to food banks allows retailers to avoid destructive promotions for fresh products, provide an outlet for over-ordering to prevent stock-outs, and generates valuable tax write-offs. We show how secondary markets for perishable food products improve profitability, and we test the implications of our model using a unique data set of perishable food sales. We find that retailers that take advantage of secondary markets are more profitable than those that do not. Our findings explain the co-existence of traditional food retailers, and food banks.
食品银行是食品零售业的重要组成部分。2018年,食品银行向5140万客户提供了总计14亿磅的捐赠食品。也许更重要的是,食物银行是食物的重要出口,否则这些食物将被丢弃在垃圾填埋场或堆肥中。尽管食品银行具有经济和社会重要性,但我们对它们在食品分配中的经济作用知之甚少。在本文中,我们将食物银行的存在解释为食品零售功能的基本机制,它允许食品零售商在访问其商店的高价值消费者和不访问其商店的低价值消费者之间进行价格歧视。向食品银行捐款可以让零售商避免对新鲜产品进行破坏性的促销,为过度订购提供了一个渠道,以防止缺货,并产生宝贵的税收减免。我们展示了易腐食品的二级市场如何提高盈利能力,并使用易腐食品销售的独特数据集测试了我们的模型的含义。我们发现,利用二级市场的零售商比不利用二级市场的零售商更有利可图。我们的发现解释了传统食品零售商和食品银行共存的原因。
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引用次数: 1
期刊
ERN: Pricing (Topic)
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