Social welfare loss due to second-best pricing: an application to the Portuguese telecommunications

The telecommunications industry is usually characterized by low marginal costs and significant fixed costs which are the conditions for the inefficiency of marginal cost pricing. In such cases theory postulates that optimal pricing is obtained by maximizing welfare subject to a restriction of viability of the firm: the second-best pricing scheme. The possible welfare losses due to second-best pricing varies according to the values of marginal costs, prices and demand elasticities. This paper analyses to what extent the second-best pricing has been achieved in the Portuguese telecommunications firm CTT, over the period 1950#150;1984 as well as the magnitude of the price-cost margins and welfare losses created. We obtained empirical evidence of the presence of economies of scale, a welfare loss estimate of 1% of the telecommunications receipts and a result that price was 40% greater than marginal cost. We concluded that price regulation and public ownership of the firm did not seriously affect social welfare over the sample period (it should be noted that it is the non-digital and fixedwire infrastructure period). Therefore, it is important to study the impact of new digital and non-wire technologies and new services provided in the old regulatory scenery.     

An evaluation of excess demand,actual cost and normal cost pricing hypotheses using non-nested tests

This paper has emperically analyzed three versions(zero lag,geometric lag and almon lag) of three price change hypotheses – namely the excess demand, actual cost and the normal cost hypothesis – the goal being to select the hypothesis that describes the underlying price dynamics for manufactured goods. The rival models are specified as non-nested alternatives and each version is estimated by using an efficient estimator. The traditional discrimination criteria which clearly reject the zero lag version, are found to be impotent in discriminating between the dynamic versions of the models. A sequential cross-evaluation of the two dynamic versions using both pairwise and multiple non-nested hypothesis tests proposed by Davidson and MacKinnon reveals a systematic domination by the almon version of normal cost pricing over both the excess demand and the actual cost pricing mechanisms in the Canadian manufacturing sector during the period 1961:1–87:4. This result is robust under alternative specifications of the desired stock of inventories for the excess demand model. The finding implies that short–run variations in demand conditions or in actual unit costs arising from temperoary changes in productivity may not paly a significant role in manufactured goods pricing decisions.     

Equity, Efficiency and Financial Viability: Public-Utility Pricing with Special Reference to Water Supply

The pricing and investment policies of a public enterprise should be designed to achieve efficiency since equity is better pursued by general policy regarding income distribution. Short-run marginal-cost pricing does not generally lead to long-term deficit, but may involve price and surplus/deficit cycles for the case with lumpy investments and growing demand, where the price increases with demand but is reduced with capacity expansion. Taking account of the extra costs of government revenue collection and the likely average price/cost ratio in the economy, the third-best pricing policy is likely to result in long-term surplus, making the objectives of equity, efficiency and financial viability much more consistent with each other than is generally believed. This is particularly true for water with historically increasing costs of additional sources of supply.     

Efficient menu structures for pricing interruptible electric power service

A menu of interruptible service offerings provides a means for matching the reliability of electric power to the preferences of consumers with diverse interruption costs. Appropriately designed pricing induces a distribution of customer service selections such that the welfare loss (i.e., total interruption cost) of all customers is minimized, when averaged over a distribution of shortfall situations. This paper derives one and two dimensional price menus that consider lost service time and interruption frequency as separate attributes. The relative efficiencies of three types of menus are compared and discussed.     

Manufacturer's pricing strategy in a two-level supply chain with competing retailers and advertising cost dependent demand

The paper studies a two-echelon supply chain comprising one manufacturer and two competing retailers with advertising cost dependent demand. The manufacturer acts as the Stackelberg leader who specifies wholesale price for each retailer. The two retailers compete with each other in advertising and they have different sales costs. The manufacturer uses one of the following two pricing strategies: (i) setting the same wholesale price for both the retailers irrespective of the difference in their sales costs; (ii) setting different wholesale prices for the retailers depending on their sales costs. Two models are developed. In the first model, the manufacturer shares a fraction of each retailer's advertising cost while in the second model, the manufacturer does not share any retailer's advertising expenses. In both the models, we derive the retailers' and manufacturer's optimal strategies. A numerical example is given to illustrate the theoretical results developed in each model. Computational results show that it is always beneficial for the manufacturer to adopt different wholesale pricing strategy for the retailers.     

Pricing schemes and market efficiency in private retirement systems

We study the effects of different pricing schemes on the overall surplus in a privately managed retirement system with multiple service providers and switching costs. We develop a theoretical model based on the Chilean retirement system and consider a repeated auction for monopoly rights over new enrollees. We consider a dynamic model solved by pension fund administrators and by consumers. We compare three different pricing schemes: (a) fees on contributions, (b) fees on returns, and (c) a two‐part tariff including an auction over a guaranteed rate of return and allowing the firm to keep a portion of returns generated above this guaranteed rate. We also consider heterogeneity across individuals where agents earn high or low wages and high‐wage customers have proportionally lower switching costs due to more cost‐effective access to financial planning services. We find that auction participants subsidize consumers. We also treat savings as a durable good. In this case, pricing over returns worsens the switching related inefficiencies just described relative to pricing over contributions, despite the better incentives it provides. These inefficiencies can be resolved by allowing firms to price discriminate.     

Integrating dynamic pricing and inventory control for fresh‐agri product under consumer choice

In this article, we investigate a joint pricing and inventory problem for a retailer selling fresh‐agri products (FAPs) with two‐period shelf lifetime in a dynamic stochastic setting, where new and old FAPs are on sale simultaneously. At the beginning of each period, the retailer makes ordering decision for new FAP and sets regular and discount prices for new and old inventories, respectively. After demand realisation, the expired leftover is disposed and unexpired inventory is carried to the next period, for continuing selling. Unmet demand of all FAPs is backordered. The objective is to maximise the total expected discount profit over the whole planning horizon. We present a price dependent, stochastic dynamic programming model taking into account zero lead‐time, linear ordering costs, inventory holding and backlogging costs, as well as disposal cost. As the influence of the perishability, each customer selects his preferred choice based on the utility of product price and quality. By the way of constructing demand rate vector, the original formulation can be transferred to be jointly concave and tractable. Finally, we characterise the optimal policy and develop effective methods to solve the problem. We also conduct numerical studies to further characterise the optimal policy, and to evaluate the loss of efficiency under static policies when compared to the optimal dynamic policy.     

ESTIMATING WELFARE IN INSURANCE MARKETS USING VARIATION IN PRICES

We provide a graphical illustration of how standard consumer and producer theory can be used to quantify the welfare loss associated with inefficient pricing in insurance markets with selection. We then show how this welfare loss can be estimated empirically using identifying variation in the price of insurance. Such variation, together with quantity data, allows us to estimate the demand for insurance. The same variation, together with cost data, allows us to estimate how insurer's costs vary as market participants endogenously respond to price. The slope of this estimated cost curve provides a direct test for both the existence and nature of selection, and the combination of demand and cost curves can be used to estimate welfare. We illustrate our approach by applying it to data on employer-provided health insurance from one specific company. We detect adverse selection but estimate that the quantitative welfare implications associated with inefficient pricing in our particular application are small, in both absolute and relative terms.     

Pricing Access to a Monopoly Input

What price should downstream entrants pay a vertically integrated incumbent monopoly for use of its assets? Courts, legislators, and regulators have at times mandated that incumbent monopolies lease assets required for the production of a retail service to entrants in efforts to increase the competitiveness of retail markets. This paper compares two rules for pricing such monopoly inputs: marginal cost pricing (MCP) and generalized efficient component pricing rule (GECPR). The GECPR is not a fixed price, but is a rule that determines the input price to be paid by the entrant from the entrant's retail price. Comparing the retail market equilibrium under MCP and GECPR, the GECPR leads to lower equilibrium retail prices. If the incumbent is less efficient than the entrant, the GECPR also leads to lower production costs than does the MCP rule. If the incumbent is more efficient than the entrant, however, conditions may exist in which MCP leads to lower production costs than does the GECPR. The analysis is carried out assuming either Bertrand competition, quantity competition, or monopolistic competition between the incumbent and entrant in the downstream market.     

Utility Regulation and Risk Allocation: The Roles of Marginal Cost Pricing and Futures Markets

The effects on consumer welfare of requiring a utility facing cost or demand risk to use either a fixed retail price or marginal cost pricing are assessed. With marginal cost pricing and cost volatility an efficient futures market allows consumer welfare to be at least as high in every state as with the fixed price. With demand risk marginal cost pricing can benefit the consumer in every state without harming the firm if the profit difference is transferred to the consumer. A futures market can act as a partial replacement for the transfer.     

A laboratory study of advertising and price competition

We use a laboratory experiment to study advertising and pricing behavior in a market where consumers differ in price sensitivity. Equilibrium in this market entails variation in the number of firms advertising and price dispersion in advertised prices. We vary the cost to advertise as well as varying the number of competing firms. Theory predicts that advertising costs act as a facilitating device: higher costs increase firm profits at the expense of consumers. We find that higher advertising costs decrease demand for advertising and raise advertised prices, as predicted. Further, this comes at the expense of consumers. However, advertising strategies are more aggressive than theory predicts with the result that firm profits do not increase.     

PRICE SETTING PRACTICES IN GREECE: EVIDENCE FROM A SMALL‐SCALE FIRM‐LEVEL SURVEY

The paper documents the price setting practices followed by some 400 or so firms operating in Greece. Survey replies reveal a low percentage of firms changing prices with frequency higher than annual and staggering of price changes during the year. As to firms’ reactions to unexpected shocks, prices appear to adjust sluggishly to cost shocks with asymmetries in price adjustment across positive and negative shocks. Adjustments to increases in costs appear speedier than those to reductions in demand. The data confirm a result found for other countries: the existence of cross‐sectional variations in price setting strategies and in the extent to which prices are adjusted in reaction to unexpected shocks. The results suggest a positive association between, on the one hand, product market competition and, on the other hand, state‐dependent pricing, frequent price changes and the likelihood of a price adjustment following an adverse demand shock.     

Cost-axiomatic regulatory pricing

The axioms of the Shapley value and semi-values of non-atomic games can be taken as the starting point for axioms on the relation between costs and prices of a regulated multiproduct monopoly. The price mechanisms that result from this system of axioms are called cost- axiomatic prices. This paper shows the applicability of such pricing to all cases of regulatory constraints that require revenue to be a given percentage of costs (including cost-plus regulation, break-even pricing or Amtrak's 50% clause). Moreover, we show that all such price mechanisms, including a fairly general system of taxation or subsidization of consumers, are demand compatible if cost-axiomatic pricing leads to deficits or profits.     

Product Quality With Heterogeneous Consumers and Linear Pricing

This paper considers a linear‐pricing monopolist that conducts vertical product differentiation. Previous analyses consider customers who either have unit demand or firms who conduct nonlinear pricing. In this paper, customers’ opportunity cost of time generates a demand for quality. Customers differ in either their demand, income or taste for quality. Differences in income and taste for quality are sources of vertical differentiation. The presence of quality distortion and the variety that may exhibit it are dependent on the functional form of the customer types’ demand.     

Estimation of an implied price elasticity of demand through current pricing practices

Researchers have long pursued better methods to estimate price elasticity of market-level demand. Due to a plethora of empirical problems, the estimates produced in many empirical studies leave researchers with wide confidence intervals that do little to clarify demand conditions. As a result, these estimates are of limited practical use to the firm facing a firm-level demand. Here, a non-statistical methodology based on seller optimization behaviour is applied that creates an ‘implied elasticity’ of firm-level demand that is robust, intuitively plausible and free of oppressive data requirements. These elasticities are tested in an applied setting against pricing managers’ surveyed estimates for customer price sensitivity for freight rail transportation services and it is found that the estimate is consistent with their pricing behaviour. This methodology is recommended for creating a simple, plausible starting point estimate for firm-level price elasticities, or using this calculation as an input to statistical studies.     

不确定情形下的市场定价机制:基于心理-权力框架对新古典价格理论的审视

现实市场存在严重的不确定性,供给成本、消费效用以及质量信号等都是价格的函数,从而也就无法基于供求曲线交叉来获得均衡价格.因此,在不确定的现实市场中,人们往往需要借助一定的锚定值来预测产品和劳务的价格并促成契约和交易.同时,不同产品的价格锚定值往往依赖于基于一定规则所形成的等级序列,进而形成锦标赛制的市场定价体系,即不同产品的价格水平和不同劳务的工资水平往往依赖于其所属等级.进而,锦标赛制定价所遵循的不是生产成本原则或劳动投入原则,也不是客观功用原则或产出贡献原则,从而往往既不公平也无效率.锦标赛制定价体系之所以流行,根本原因在于市场经济中的权力结构是不对称的;尤其是,权力碎片化发展使得极少数强势者拥有了市场定价的权力,而定价原则是基于特定主权者的利益最大化和少数富人的效用最大化.正是基于锚定效应和权力分析框架的结合,我们才可以揭示出不确定市场中统一的锦标赛制定价体系及其嵌入的利益导向.显然,这将有助于我们深入审视新古典经济学价格理论,识别现实市场中的厂商定价策略,更好地解释各种市场行为和竞争形态,同时有助于我们更深刻地洞识市场机制的内在缺陷,进而为市场监管和收入分配等公共政策提供依据和方向.     

Price Discrimination in Public Healthcare

Could a public healthcare system use price discrimination—paying medical service providers different fees, depending on the service provider's quality—lead to improvements in social welfare? We show that differentiating medical fees by quality increases social welfare relative to uniform pricing (i.e. quality‐invariant fee schedules) whenever hospitals and doctors have private information about their own ability. We also show that by moving from uniform to differentiated medical fees, the public healthcare system can effectively incentivise good doctors and hospitals (i.e. low‐cost‐types) to provide even higher levels of quality than they would under complete information. In the socially optimal quality‐differentiated medical fee system, low‐cost‐type medical‐service providers enjoy a rent due to their informational advantage. Informational rent is socially beneficial because it gives service providers a strong incentive to invest in the extra training required to deliver high‐quality services at low cost, providing yet another efficiency gain from quality‐differentiated medical fees.     

Incentive properties of coincident peak pricing

Coincident peak pricing is used in several electricity markets to recover the embedded cost of infrastructure, such as transmission. In this approach, measured consumption at the time of the peak is used to set charges for that pricing period or a subsequent period. If transmission costs are truly sunk, then such a recovery is unlikely to be efficient. However, in the context of growing peak demand, new additions must be built. We consider the incentive properties of coincident peak pricing when related investments are not considered to be sunk, finding that it can reproduce the incentive properties of an ideal time-varying price. We also consider several variations on this assumption.     

Two-part tariffs set by a risk-averse monopolist

This paper revisits the classical issues of two-part tariffs by considering risk aversion of a monopolistic seller. Under demand uncertainty, equilibrium unit price declines and approaches towards marginal cost as the seller becomes more risk averse. Marginal-cost pricing prevails, irrespective of the seller’s risk attitude, if clients are homogenous. Under cost uncertainty, unit price is higher than marginal cost and monotonically increases in risk aversion. The model is then extended to accommodate buyers’ risk aversion and it is found that demand uncertainty makes unit price decline in the seller’s risk aversion again but increase in buyers’ risk aversion.     

Household response to dynamic pricing of electricity: a survey of 15 experiments

Since the energy crisis of 2000–2001 in the western United States, much attention has been given to boosting demand response in electricity markets. One of the best ways to let that happen is to pass through wholesale energy costs to retail customers. This can be accomplished by letting retail prices vary dynamically, either entirely or partly. For the overwhelming majority of customers, that requires a change out of the metering infrastructure, which may cost as much as $40 billion for the US as a whole. While a good portion of this investment can be covered by savings in distribution system costs, about 40% may remain uncovered. This investment gap could be covered by reductions in power generation costs that could be brought about through demand response. Thus, state regulators in many states are investigating whether customers will respond to the higher prices by lowering demand and if so, by how much. To help inform this assessment, this paper surveys the evidence from the 15 most recent pilots, experiments and full-scale implementations of dynamic pricing of electricity. It finds conclusive evidence that households respond to higher prices by lowering usage. The magnitude of price response depends on several factors, such as the magnitude of the price increase, the presence of central air conditioning and the availability of enabling technologies such as two-way programmable communicating thermostats and always-on gateway systems that allow multiple end-uses to be controlled remotely. In addition, the design of the studies, the tools used to analyze the data and the geography of the assessment influence demand response. Across the range of experiments studied, time-of-use rates induce a drop in peak demand that ranges between 3 and 6% and critical-peak pricing (CPP) tariffs induce a drop in peak demand that ranges between 13 and 20%. When accompanied with enabling technologies, the latter set of tariffs lead to a reduction in peak demand in the 27–44% range.