Identifying airline price discrimination and the effect of competition

Empirical studies exploring the relationship between competition and price discrimination don’t generally consider the role of product differentiation or the asymmetric adoption of discrimination across firms. Using a customized empirical approach to examine the use of Saturday-night stayover discounts in the U.S. airline industry, I show that discounts are used more often when facing competitors that offer differentiated products but less often when competing with firms that don’t use discounts. Legacy carriers rarely use discounts when competing with Southwest or other low-cost carriers, but the presence of competing legacy carriers sometimes enhances the use of discounts.     

Inter-temporal inventory competition and the effects of capacity constraints

This paper addresses an intertemporal inventory competition between a supplier (a provider, manufacturer) and a retailer engaged in a supply chain. The paper's focus is on the effect of capacity constraints on both parties when demands are seasonal. The paper provides a comparative study of two solution approaches, one is based on supply chain competition and the other is based on system wide optimization. Our results demonstrate that with dynamic inventory competition, the retailer reduces inventory costs by reducing the response period to higher demands while increasing the supply requests compared to the system-wide optimal approach. As a result, the supplier's inventory costs increase. An example illustrating these particular facets of the problem and its application is presented and discussed in light of the supplier and the retailer coordinating policies.     

The effects of personal information on competition: Consumer privacy and partial price discrimination

This article studies the effects of consumer information on the intensity of competition. In a two dimensional duopoly model of horizontal product differentiation, firms use consumer information to price discriminate. I contrast a full privacy and a no privacy benchmark with intermediate regimes in which the firms can profile consumers only partially. I show that with partial privacy firms are always better-off with price discrimination: the relationship between information and profits is hump-shaped. In particular, competing firms prefer to target consumers with partial but asymmetric information about preferences. Instead, consumers prefer either no or full privacy in aggregate, but the effects of information on individual surplus are ambiguous: there are always winners and losers. Finally, I study the information acquisition incentives of the firms when there is an external data seller. When this upstream data broker holds partially informative data, an exclusive allocation arises. Instead, when data is fully informative, each competitor acquires consumer data but on a different dimension. These findings are relevant for the strategic decisions of firms active in digital markets and contribute to the policy debate surrounding privacy, exclusive access to data and competition.     

Multi-dimensional price discrimination

We examine the profitability and welfare implications of price discrimination in a multi-dimensional model. First, when firms price discriminate on one and the same dimension, uniform price lies in between discriminatory prices and price discrimination raises profits relative to uniform pricing. This is in contrast to common findings in existing one-dimensional models featuring best-response asymmetry, suggesting that price discrimination can have qualitatively different implications in one- and multi-dimensional models. Second, price discrimination on one and the same dimension is the likely outcome when price discrimination decisions are endogenized using a two-stage discrimination-then-pricing game. Correspondingly, an observation of one-dimensional price discrimination in practice does not necessarily indicate that the underlying model should be one-dimensional.     

Experimenting with purchase history based price discrimination

Many purchases of differentiated goods are repeated, giving sellers the opportunity to engage in price discrimination based upon the shopper's previous behavior by either offering loyalty discounts to repeat buyers or introductory rates to new customers. Recent theoretical work suggests that loyalty discounts can be profitable to sellers when customer preferences are not stationary and sellers can pre-commit to prices for repeat buyers, but otherwise returning customers can be expected to pay the same or more than new buyers. This paper reports behavior in controlled laboratory experiments designed to empirically test the impact of these factors on pricing strategies. The results generally support the comparative static predictions of the theoretical model. When customer preferences are fixed over time, sellers attempt to lure customers from their rival. Price pre-commitment for repeat shoppers when buyer preferences vary over time resulted in modest loyalty pricing, but the discounts are not as prevalent as predicted as sellers rarely price below cost. Behaviorally, price pre-commitment to loyal customers is found to reduce prices overall.     

Third-degree price discrimination in oligopoly with endogenous input costs

This paper examines the output effect of third-degree price discrimination in symmetrically differentiated oligopoly. We find that when the sellers’ input costs are chosen endogenously by an upstream supplier with market power, as opposed to being fixed exogenously, long-standing qualitative conclusions about the effect of price discrimination on aggregate output can be reversed. In contrast to previous findings (e.g., by Holmes, 1989), more intense competition in the strong market than in the weak market can make it less likely that price discrimination raises aggregate output. For linear demand functions, we establish necessary and sufficient conditions under which the output effect changes sign when input costs are endogenized.     

Elasticity of demand and behaviour-based price discrimination

Behaviour-based price discrimination (BBPD) is typically analysed in a framework characterised by perfectly inelastic demand. This paper provides a first assessment of the role of demand elasticity on the profit, consumer and welfare effects of BBPD. We show that the demand expansion effect, that is obviously overlooked by the standard framework with unit demand, plays a relevant role. In comparison to uniform pricing, we show that firms are worse off under BBPD, however, as demand elasticity increases the negative impact of BBPD on profits gets smaller. Despite a possible slight increase in the average prices charged over the two periods in comparison to uniform pricing, we show that BBPD boosts consumer surplus and that this benefit is independent of elasticity. In contrast to the welfare results derived under the unit demand assumption, where BBPD is always bad for welfare, the paper shows that BBPD can be welfare enhancing if demand elasticity is sufficiently high.     

Supply function equilibria with capacity constraints and pivotal suppliers

The concept of a supply function equilibrium (SFE) has been widely used to model generators' bidding behavior and market power issues in wholesale electricity markets. Observers of electricity markets have noted how generation capacity constraints may contribute to market power of generation firms. If a generation firm's rivals are capacity constrained then the firm may be pivotal; that is, the firm could substantially raise the market price by unilaterally withholding output. However the SFE literature has not fully considered the impact of capacity constraints and pivotal firms on equilibrium predictions. We characterize the set of symmetric supply function equilibria for uniform-price auctions when firms are capacity constrained and show that this set is increasing as capacity per firm rises. We provide conditions under which asymmetric equilibria exist and characterize these equilibria. In addition, we compare results for uniform-price auctions to those for discriminatory auctions, and we compare our SFE predictions to equilibrium predictions of models in which bidders are constrained to bid on discrete units of output.     

Stackelberg price leadership in spatial competition

This paper examines Stackelberg price leadership in a spatially competitive model with infinitely many stores on an infinite line. A Stackelberg price leader charges significantly more than the pure Nash equilibrium price, induces its neighbors to charge somewhat more than the pure Nash equilibrium price, and increases its profits. Under Nash equilibrium, collusion of two stores makes a difference to prices only if the colluding stores are nearest neighbors. Under Stackelberg price leadership, collusion makes a difference to prices even if the stores are not nearest neighbors.     

Predation and network based price discrimination in Chile

This paper uses a model of strategic interaction among firms –that set discriminatory and nonlinear prices– in addition to public information on prices of the plans marketed by the three major mobile phone companies, to assess the extent to which on-net/off-net price differentials in the plans they offered could represent predatory practices in the mobile telephony market in Chile. The results show that the largest companies offered a few plans with an off-net/on-net price differential larger than what a competitive theoretical model predicts. This larger differential is consistent with the notion of predation defined by Hoernig (2007) as reducing a competitor's profits. Despite the fact that these plans were a small fraction of all the plans mobile phone firms offered, they were recently banned by the antitrust authority because of their potential anticompetitive effects.     

A note on price cap regulation and competition

This paper examines the properties of a price-cap regulatory regime similar in design to a plan recently proposed by AGT Ltd. in hearings on Alternative Forms of Regulation before the Canadian Radio-television and Telecommunications Commission. The price-cap plan incorporates a number of novel features which include (i) quantity weights that evolve through time rather than remaining fixed; (ii) adjustments for productivity that incorporate yardstick competition; and (iii) allowing the weights to reflect the firm's market power or absence thereof in the presence of competition. Hence, should competitive circumstances permit, the regulatory regime allows for its own sunset.     

Downstream mergers in vertically related markets with capacity constraints

Motivated by a recent merger proposal in the French outdoor advertising market, we develop a model in which firms are initially endowed with some advertising capacities and compete on two fronts. First, firms compete to acquire additional advertising capacities on an upstream market; a first stage modeled as a second-price auction with externalities. Second, those firms, privately informed on their own costs, use their capacities on the downstream market to supply advertisers whose demand is random; a second stage modeled by means of mechanism design techniques. We study the linkages between the equilibrium outcomes on both markets. When a firm is endowed with more initial capacity, through the acquisition of a competitor for instance, whether it becomes more or less eager to acquire extra capacity on the upstream market depends a priori on fine details of the downstream market. Under reasonable choices of functional forms, we demonstrate that a downstream merger does not create any bias in the upstream market towards the already dominant firm.     

Anote on second degree price discrimination and its implications

This paper develops the analytical solution to the standard problem of second degree discrimination and shows that, as the number of discrete prices increases, the market output approaches that of pure competition or perfect price discrimination in the same manner as Cournot oligopolies converge to competitive outcomes. This solution is subsequently compared with that of Third degree discrimination in light of recent contributions of Coase and Varian. This comparison reveals that-1-neither type of discrimination, in its pure form, is empirically likely;-2- actual price discrimination will involve elements of both types;-3- therefore, the analytical solution to second degree discrimination is, contrary to Pigouvian tradition, no less important than that of third degree discrimination.     

Asymmetries in cost structures and incentives towards price competition

This paper provides some theoretical grounds to relate asymmetries in cost structures and incentives towards price competition. Typically low cost firms favor price competition whereas the reserve is true for high cost firms. Increased price competition will tend to diminish price-cost margins for all firms but the low cost firms may increase their total profits through an enlarged market share. This analysis depends on two relevant parameters: the way the overall market will react to increased price competition and interfirm cross elasticities. This is proved using comparative statics at the Nash equilibrium of an oligopolistic model.     

An empirical analysis of price discrimination among countries

This article examines empirically the proposition that in recent years many less developed countries (LDCs) have been consistently overcharged for products exported to them from OECD countries. For a wide group of both developed and developing countries importing from the Organization for Economic Cooperation and Development (OECD) members, unit export values expressed in SUS per metric ton are statistically analysed and, in the case of the selected (homogeneous) agricultural products, the proposition doesnot receive conclusive support. The overall implications are presented along with suggestions for further research.The authors are from the College of Business Administration, San Diego State University.     

Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes

This paper evaluates the impact of price discount contracts and pricing schemes on the dual-channel supply chain competition. Channel conflict occurs when the supplier enters the online direct channel. Traditional contracts normally require tedious administrational participation, full information of the cost structures, and other factors. The introduction of simple price discount contracts aims at providing easy implementation and effective coordination results. From supplier Stackelberg, retailer Stackelberg, and Nash game theoretic perspectives, we show that the scenarios with price discount contracts can outperform the non-contract scenarios. In addition, we show consistent pricing scheme can reduce the channel conflict by inducing more profit to the retailer. The leader in the games might, but is not guaranteed to, have advantages.     

Endogenous capacities and price competition: The role of demand uncertainty

We analyze the role of demand uncertainty in markets of fixed size, in which firms take long-run capacity decisions prior to competing in prices. We characterize the set of subgame perfect Nash equilibria under various assumptions regarding the nature and timing of demand uncertainty. In order to prove equilibrium existence, we identify a sufficient condition for the capacity choice game to be submodular. This condition resembles the standard downward-sloping marginal revenue condition used in Cournot games. A robust conclusion of the analysis is that equilibrium capacity choices are asymmetric, even when firms are ex-ante identical. Concerning the equivalence between the capacity-price game and the Cournot game, we find that with inelastic demands, the equilibria of the former belong to the equilibrium set of the latter. However, as compared to the Cournot game, the capacity-price game leads to lower prices and generates price dispersion.     

Solutions for flexible container leasing contracts with options under capacity and order constraints

The container–shipping market becomes prosperous with the development of the global economy. As shipping networks become more complex and heterogeneous, container capacity planning becomes more difficult. This paper tackles the container planning problem from the carrier’s perspective in a two-echelon container shipping service chain (CSSC), which includes one carrier and one upstream rental company. A flexible contract with options is introduced into the one-period container planning mechanism. With the flexible options contract, the rental company requires the carrier to make a commitment or place an order in advance. Options give buyer the right to modify the initial orders to better match the supply with the demand. Based on the carrier’s decision tendency, i.e., aggressive or conservative, we analyze the application strategies of the unilateral options and the bidirectional options in different practical scenarios. In particular, for the applicability of the decision models, we further consider the shipping capacity and the minimum order constraints and formulate the carrier’s option policies with constrained nonlinear programs. Numerical examples show that the proposed decision strategies with option contract cannot only effectively increase the container trading quantity between the rental company and the carrier, but also significantly reduce the carrier’s container capacity risk while increasing its profit.