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.     

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.     

零售商的风险规避特性和公平偏好对绿色供应链运作的影响

针对市场需求的不确定性,本文通过建立风险规避型零售商与风险中性供应商的Stackelberg博弈模型,供应商为主导者,综合考虑零售商风险规避特性和公平偏好心理对该供应链运作产生的影响。研究发现,当风险规避型零售商不具有公平意识时,零售商的风险规避程度与供应商的批发价、绿色创新投入水平以及供应商和供应链整体的效用正相关;供应商的绿色成本系数的大小可影响风险规避程度对产品售价以及零售商效用的影响。当风险规避型零售商具有公平偏好时,零售商的公平偏好负向影响产品售价、批发价以及供应商绿色投入水平和供应商效用;零售商公平偏好对零售商以及供应链效用产生的影响受到零售商风险规避程度的影响。     

Is Airline Price Dispersion the Result of Careful Planning or Competitive Forces?

We develop a model of price dispersion to distinguish the impact of price discrimination from that of peak load pricing schemes or atypical competition resulting from the financial difficulties of the early 1990s. By utilizing three alternative measures of dispersion and appealing to economic theory for our specification, we find robust results suggesting an estrangement between price dispersion and price discrimination. While some discrimination continues to persist at monopolized endpoints, most dispersion is associated with fare wars and peak load pricing schemes.     

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.     

Competition and Price Discrimination: Evidence from the Parking Garage Industry

We study the relationship between competition and price discrimination through an empirical examination of hourly price schedules in the parking garage industry. We find that the degree of price schedule curvature decreases with competition, implying a greater proportionate drop in low‐end prices than in high‐end prices when competition intensifies. Our findings suggest that competition constrains a firm's capacity to exercise price discrimination, confirming the classic textbook theory. We also offer possible explanations for our findings, including a search cost explanation, for which we find some support in the data.     

OPTIMAL PRICING AND QUALITY CHOICE WHEN INVESTMENT IN QUALITY IS IRREVERSIBLE

This paper examines the price and quality choice of a single product, risk-neutral monopolist who can delay irreversible investments required for market entry. It is shown that the price and quality she chooses at entry increase with uncertainty about the size of future demand. In a Stackelberg leader-follower game, the leader and follower pre-commit immediately up to a certain level of uncertainty. In this case the leader produces the higher quality good. When uncertainty is higher than this threshold, the follower will wait and enter the market later with a higher quality good.     

VMCI 下基于批发价决策权转移的供应链效率改进研究

本文在VMCI 模式下,考虑销售努力水平对市场需求的影响,研究批发价决策权由供应商转移至零售商的两级供应链效率改进问题。假定零售商决策批发价和销售努力水平,供应商决策寄售量,建立了零售商主导的Stackelberg 博弈模型,证明了集中决策下的最优解和分散决策下的均衡解均存在且唯一,集中决策下的寄售因子大于分散决策下的对应值。随后,引入收入共享与销售努力成本共担契约,论证了系统中寄售因子保持不变、批发价降低,且当契约参数满足一定条件时,可实现帕累托改进,实现供应链的效率改进。最后,分析了契约参数对于系统决策变量及利润的影响。     

DYNAMIC PRICE DISCRIMINATION WITH ASYMMETRIC FIRMS*

This paper considers variants of a dynamic duopoly model where one firm has a stronger market position than its competitor. Consumers' past purchases may reveal their different valuations for the two firms' products. Price discrimination based on purchase histories tends to benefit consumers if it does not cause the weaker firm to exit; otherwise it can harm consumers. The effect of price discrimination also depends on firms' cost differences, market competitiveness, and consumers' time horizon. The stronger firm may price below cost in the presence of consumer switching costs, with the purpose and effect of eliminating competition.     

Entry deterrence: The case of a buyer with market power

The model considers a seller operating under the threat of an arbitrarily large number of unknown potential entrants and facing a strategic buyer. It is shown that the seller's Nash best response function slopes downward in price-output space, while that of the buyer slopes upward. The Nash equilibrium may be associated with a lower probability of entry than the equilibrium at which the buyer behaves non-strategically. With the buyer as the Stackelberg leader, the price is shown to decrease relative to that at the Nash equilibrium, but the probability of entry may rise or fall.     

What types of switching costs to create under behavior-based price discrimination?

We study firms' incentives to create switching costs using a four-period model consisting of two consecutive price-competing stages intervened by options to create switching costs early (before price competition) and late (during price competition). Acknowledging that many real/social switching costs need to be created early while many contractual/pecuniary switching costs are set up late during the competition, we show that firms are better off minimizing real/social switching costs while maximizing contractual/pecuniary switching costs. The results highlight the importance of timing of creation that is embedded in different types of switching costs. We also show that switching costs can actually benefit consumers when firms practice behavior-based price discrimination because consumers can enjoy benefits of deep price discounts without the hassle of actually switching. Therefore, an observed lack of consumer switching should not be immediately interpreted as lack of competition in markets where both switching costs and behavior-based pricing exist.     

Competitive customer poaching with asymmetric firms

Conditioning the pricing policies on purchase history is proven to generate a cutthroat price competition enhancing consumer surplus. This result typically relies on a framework where competitors are assumed to be symmetric. This paper demonstrates that under significant asymmetries of competing firms, the strong firm trades off current market share for future market share and the weak firm does the opposite. This inter-temporal market sharing agreement generates unidirectional poaching and entails new and distinctive welfare implications. In particular, if consumers are sufficiently myopic, price discrimination softens price competition in relation to uniform pricing, overturning the conclusion of previous studies.     

Bertrand Competition with an Asymmetric No‐discrimination Constraint

Regulators and competition authorities often prevent firms with significant market power, or dominant firms, from practicing price discrimination. The goal of such an asymmetric no‐discrimination constraint is to encourage entry and serve consumers' interests. This constraint prohibits the firm with significant market power from practicing both behaviour‐based price discrimination within the competitive segment and third‐degree price discrimination across the monopolistic and competitive segments. We find that this constraint hinders entry and reduces welfare when the monopolistic segment is small.     

具有自营平台的制造商与零售商的竞争与合作模型

本文研究了由1个制造商和1个零售商组成的供应链中的竞争与合作定价问题,其中制造商具有平台直销渠道。本文建立了竞争下的Stackelberg博弈模型,并分析了解的唯一性和合理性,然后给出合作定价模型和各渠道的定价策略,结果表明制造商和零售商最优策略是降低线下渠道销售价格而线上平台销售价格不变。通过对比表明供应链合作所增加的收益等于非合作下零售商的收益,并证明了顾客对线下渠道购买偏好越高,合作所增加的收益越大。进一步地,分析了在合作的情况下制造商是否放弃通过平台直销渠道销售商品的问题,并给出双渠道下供应链总利润比单渠道下总利润高的判定条件。最后给出一个算例,对所获得的结论进行验证和补充。     

Heterogeneous switching costs

We consider a two period model where consumers have different switching costs. Before the market opens an Incumbent sells to all consumers; after the market opens competitors appear. We identify the equilibrium both with Stackelberg and Bertrand competition and show how the presence of low switching cost consumers benefits the Incumbent, despite the fact that it never sells to any of them. Furthermore, we identify a free rider effect among consumers.     

A two-stage model of research and development with endogenous second-mover advantages

This paper describes a simple two-stage model of research and development, in which the ‘winner’ of the research stage has the option of moving first in the development stage. Some unexpected results emerge: in equilibrium, the leader in the development stage invests less than each follower, and is consequently least likely to collect the patent. Moreover, the leader receives a lower expected payoff than each of the followers. Thus there are endogenous second-mover advantages. Using a game of timing (in which the identity of the Stackelberg leader is determined) to link the two stages, I find that firms face quite different incentives in the research stage. Although the leader invests less than each follower in the research stage as well, the leader enjoys higher expected revenue from the complete (two-stage) game than does each follower. The equilibrium is inefficient because there is a lag between the time at which research is completed and the time at which development is begun, and because aggregate investment is inefficiently (asymmetrically) distributed across firms.     

Competition between multiple asymmetric networks: Theory and applications

This paper presents a tractable model of network competition with many firms, elastic subscriber demand, off-net price discrimination, call externalities, and cost and market share asymmetries. We characterize stability in expectations and equilibrium under firm- and market-level network effects. The model is applied to simulate the effects of termination rates, market maturity, and retail pricing strategies. We show that predictions based on duopoly models can be misleading, in particular concerning the effects of termination rates.     

Collusion and leadership

The paper explores the role of price or quantity leadership in facilitating collusion. It extends the standard analysis of tacit collusion by allowing firms to make their strategic choices either simultaneously or sequentially. It is shown that price leadership indeed facilitates collusion by making it easier to punish deviations by the leader. In case of pure Bertrand competition, price leadership restores the scope for (perfect) collusion in markets where collusion would not be sustainable otherwise. When firms face asymmetric costs or offer differentiated products, price leadership can also enhance the profitability of collusion—in case of asymmetric costs, the less efficient firm must act as the leader. Finally, such leadership is less effective in case of Cournot competition since, following an aggressive deviation by the leader, the follower would rather limit its own output, making it more difficult to punish the deviation. Still, quantity leadership may enhance collusion when it is already somewhat effective in a simultaneous move setting.     

An explanation of intra-industry trade in identical commodities

A model of international trade under conditions of spatial price discrimination is developed in order to demonstrate that intra-industry trade is identical commodities can occur between two countries over a wide range of market structures. The geographic extent of intra-industry trade is shown to be inversely related to the degree of competition affecting imports in each country in the sale of the homogeneous commodity. Furthermore, the degree of intra-industry trade is directly related to the incidence of spatial price discrimination in favor of distant customers.     

CUSTOMER POACHING AND ADVERTISING*

This paper is a first look at the dynamic effects of customer poaching in homogeneous product markets, where firms need to invest in advertising to generate awareness. When a firm is able to recognize customers with different purchasing histories, it may send them targeted advertisements with different prices. It is shown that only the firm which advertises the highest price in the first period will engage in price discrimination, a practice that clearly benefits the discriminating firm. This poaching gives rise to ‘the race for discrimination effect,’ through which price discrimination may act actually to soften price competition rather than intensify it. As a result, all firms may become better off, even when only one of them can engage in price discrimination. This paper offers a first attempt to evaluate the effects of price discrimination on the efficiency properties of advertising. In markets with low or no advertising costs, allowing firms to price discriminate leads them to provide too little advertising, which is not good for consumers and overall welfare. Only in markets with high advertising costs, might firms overadvertise. Regarding the welfare effects, price discrimination is generally bad for welfare and consumer surplus, though good for firms.