The impact of competitive advantage on the investment timing in Stackelberg leader–follower game

This short note clarifies how the Stackelberg leader’s competitive advantage after the follower’s entry affects the leader’s optimal market entry decision and Stackelberg strategic interactions under uncertainty. Although the Stackelberg leader’s first investment threshold remains constant and coincides with the monopolist’s investment trigger, his second (third) investment threshold, which defines the exit (entry) of the first (second) investment interval, increases with an increased competitive advantage. With an increased competitive advantage, the probability of sequential investment equilibrium (simultaneous investment equilibrium) increases (decreases) irrespective of the level of volatility. Moreover, for a given level of competitive advantage, an increase in the volatility tends to decrease (increase) the probability of simultaneous investment equilibrium (sequential investment equilibrium). For a richer set of results, endogenous firm roles are examined and analyzed as well. The leader’s preemptive threshold is negatively affected by his competitive advantage.     

Optimal pricing and quality choice of a monopolist under Knightian uncertainty

This paper analyzes a simple vertical product differentiation model with demand uncertainty and derives a risk neutral monopolist's optimal market entry timing, her optimal pricing and optimal quality choice by incorporating Knightian uncertainty, irreversibility, and flexibility in quality-enhancing investment into a continuous-time stochastic model. It is shown that an increase in Knightian uncertainty induces decreases in the optimal price, the optimal quality, and the value of undertaking the quality-enhancing investment by the monopolist. The social optimal entry timing, pricing and quality are also analyzed.     

Entry,imperfect competition,and futures market for the input

We analyze firms' entry, production and hedging decisions under imperfect competition. We consider an oligopoly industry producing a homogeneous output in which risk-averse firms face an entry cost upon entering the industry, and then compete in Cournot with one another. Each firm faces uncertainty in the input cost when making production decision, and has access to the futures market to hedge the random cost. We provide two sets of results. First, under general assumptions about risk preferences, demand, and uncertainty, we characterize the unique equilibrium. In contrast to previous results in the literature (without entry), both production and output price depend on uncertainty and risk aversion. Specifically, when entry is endogenized and the futures price is not actuarially fair, access to the futures market does not lead to separation. Second, to study the effect of access to the futures market on entry and production, we restrict attention to constant absolute risk aversion (CARA) preferences, a linear demand, and a normal distribution for the spot price. In general, the effect of access to the futures market on the number of firms and production is ambiguous.     

The advantage of being first and competition between firms

It is frequently suggested that the first brand in a product market enjoys a price advantage over its imitators due to imperfect information about product quality. This article considers the effect of this advantage on prices and market shares in a dominant firm price leadership model. An established firm with a price advantage faces free entry by firms producing unbranded products (generics). In equilibrium, the first brand enjoys a market share advantage over entrants in entry and post entry periods. If the initial price disadvantage is large, entry will not occur.     

Price and quality discrimination in durable goods monopoly with resale trading

We examine a durable goods monopolist’s optimal dynamic price and product quality strategy when buyers are rational and can trade used durables among themselves. In contrast to the usual credibility problem of the durable goods monopolist, intertemporal quality discrimination introduces a time-inconsistency problem of not raising prices against high-valuation consumers who delay purchase for quality upgrades. Resale trading ameliorates this time-inconsistency problem and allows the monopolist to effectively price discriminate, especially when the buyers are patient. The monopolist’s optimal price and quality offers in the new good market exhibit complex dynamic patterns, and new good prices can fall as product quality improves even in the absence of entry threats or learning economies. Initial quality distortions are followed by steady-state quality allocations that are always efficient for the high-valuation buyers, but sometimes also for the marginal consumer-types. Both the resale trading frequency and the price discount for secondhand goods are driven by the pace of strategic quality obsolescence in the new good market.     

PRICE DISCRIMINATION IN STACKELBERG COMPETITION*

We examine the effects of price discrimination in the Stackelberg competition model for the linear demand case. We show that the leader does not use any price discrimination at all. Rather, the follower does all price discrimination. The leader directs all of its first mover preemptive advantage to attract the highest value consumers who pay a uniformly high price. We observe that profits and total welfare are larger and consumer surplus is smaller than those of the standard Stackelberg competition model.     

LISTING PRICES AS SIGNALS OF QUALITY IN MARKETS WITH NEGOTIATION*

We analyze markets where a buyer may pay the listing price or negotiate. We show that listing prices can signal quality to attract the right type of buyers. Prices are lower without quality uncertainty or without some of the lower qualities. In equilibrium, higher qualities/prices induce more bargaining, and thus more expensive goods are sold more often through bargaining.     

Vertical Contracts and Downstream Entry*

We study the implications of different contractual forms in a market with an incumbent upstream monopolist and free downstream entry. We show that traditional conclusions regarding the desirability of linear contracts radically change when entry in the downstream market is endogenous rather than exogenous. By triggering more entry than two-part tariffs, wholesale price contracts can generate higher aggregate output, consumer surplus, and welfare. In light of this, the upstream monopolist may prefer to trade with wholesale price contracts as well as to give up part of its bargaining power when it is high.     

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.     

Efficient versus Responsive Supply Chain Choice: An Empirical Examination of Influential Factors

Contemporary strategies in operations management suggest that successful firms align supply chain assets with product demand characteristics in order to exploit the profit potential of product lines fully. However, observation suggests that supply chain assets often are longer lived than product line decisions. This suggests that alignment between supply chain assets and demand characteristics is most likely to occur at the time of initial market entry. This article examines the association between product demand characteristics and the initial investment in a supply chain at the time of market entry. We characterize supply chains as responsive or efficient. A responsive supply chain is distinguished by short production lead‐times, low set‐up costs, and small batch sizes that allow the responsive firm to adapt quickly to market demand, but often at a higher unit cost. An efficient supply chain is distinguished by longer production lead‐times, high set‐up costs, and larger batch sizes that allow the efficient firm to produce at a low unit cost, but often at the expense of market responsiveness. We hypothesize that a firm's choice of responsive supply chain will be associated with lower industry growth rates, higher contribution margins, higher product variety, and higher demand or technological uncertainty. We further hypothesize that interactions among these variables either can reinforce or can temper the main effects. We report that lower industry growth rates are associated with responsive market entry, but this effect is offset if growth occurs during periods of high variety and high demand uncertainty. We report that higher contribution margins are associated with responsive market entry and that this effect is more pronounced when occurring with periods of high variety. Finally, we report that responsive market entry also is correlated positively with higher technological demand uncertainty. These results are found using data from the North American mountain bike industry.     

Auctioneers sometimes prefer entry fees to extra bidders

We investigate a market thickness–market power tradeoff in an auction setting with endogenous entry. We find that charging admission fees can sometimes dominate the benefit of recruiting additional bidders, even though the fees themselves implicitly reduce competition at the auction stage. We also highlight that admission fees and reserve prices are different instruments in a setting with uncertainty over entry costs, and that optimal mechanisms in such settings may be more complex than simply setting a reserve price. Our results provide a counterpoint to the broad intuition of Bulow and Klemperer (1996) that market thickness often takes precedence over market power in auction design.     

Pricing strategy, quality signaling, and entry deterrence

I investigate a pricing strategy that is aimed at deterring entry by applying a two-period model of a durable-goods monopolist. There exists an incumbent that is of two types, that is, high and low quality types. They differ in terms of their R&D capabilities, and the incumbent's type is assumed to be unknown to an entrant. If the entrant decided to enter the market, Nash–Bertrand price competition ensues between the incumbent and the entrant. I show that not only limit pricing but also prestige pricing signals the incumbent's quality type, which serves to discourage entry. In the prestige pricing, the high-quality type sells the products at an intentionally higher price. I also show that although limit pricing is more desirable than prestige pricing from a social welfare viewpoint, the incumbent can still choose prestige pricing.     

A Stackelberg model of pricing of complementary goods under information asymmetry

We consider a duopoly market where two separate firms offer complementary goods in a leader–follower type move. Each firm has private forecast information about the uncertain market demand and decides whether to share it with the other firm. We show that information sharing would benefit the leader firm but hurt the follower firm as well as the total system if the follower firm shares information unconditionally. We then devise a “simple to implement” information sharing scheme under which both firms and the total system are better off. We also provide several interesting managerial insights and establish the robustness of the model in managing a supply chain through our analytical and simulation results.     

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.     

The power of imperfect imitation

We examine the power and limitations of imitation. Naive intuition may hold that the efficacy of imitation would be diminished by imperfections in copying high‐performing firms. Employing a computational model, we study the dynamics of imitation when firms are subject to bounded rationality that limits their ability to copy the market leader. We find that imperfect imitation can generate unexpectedly good outcomes for follower firms—indeed, better than the outcomes achieved if they were perfect imitators. Moreover, imperfect imitation, from time to time, enables follower firms to surpass superior firms. These findings suggest there is an adaptive role to mechanisms, such as bounded rationality, that make perfect imitation difficult. Copyright © 2012 John Wiley & Sons, Ltd.     

Timing decisions of new product preannouncement and launch with competition

We develop a game-theoretic model to study the timing of new product preannouncement and launch under competition. We derive firms’ optimal timing choices and conducted a numerical analysis to evaluate the role of various factors. Our analytical and numerical results showed that anticipated competitor’s timing choices are the most significant factors. A firm should not preannounce early unless the preannouncement is effective in creating pent-up demands. However, the preannouncement and launch should be rushed if the quality or profit margin of the new product is high, and postponed if the market share of the existing product is high. The market leader should preannounce earlier in a simultaneous game than in a sequential game, but the opposite for the market follower. Data collected from the microprocessor industry validated our model.     

Hustle for survival or bustle for revival: Effects of Guanxi orientation and order of entry for China's electronic business ventures

Electronic business ventures (EBVs), startups on Internet platforms, have recently attracted research attention. This study attempts to understand the encompassing mechanism for the superior market performance of EBVs entering China's electronic market with a focus on the effects of two important drivers. The first is Guanxi orientation, which is a strategic factor rooted in Chinese culture. The second is the order of entry or the chosen time of entering a market to gain advantages. We test six hypotheses based on data collected from 155 EBVs established over the past 10 years in China. The results show that EBVs' Guanxi orientation positively influences their market performance and that this effect is mediated by political ties built through Guanxi activities. Although the order of entry effect is not evident for EBVs, Guanxi orientation contributes to market performance to a higher degree for late entrant EBVs than for early follower EBVs. The study's findings offer new insights into the implementation of Guanxi orientation in the fast-growing electronic market in China, an emerging country with a culture distinct from that of the West.     

How does income inequality affect market outcomes in vertically differentiated markets?

The distribution of consumer incomes is a key factor in determining the structure of a vertically differentiated industry when consumer's willingness to pay depends on her income. This paper computes the Shaked and Sutton (1982) model for a lognormal distribution of consumer incomes to investigate the effect of inequality on firms' entry, product quality, and pricing decisions. The main findings are that greater inequality in consumer incomes leads to the entry of more firms and results in more intense quality competition among the entrants. More intense quality competition raises the average quality of products in the market as firms compete for the shrinking share of higher-income consumers. With zero costs of quality improvements and an upper bound on the top quality or when costs of quality are fixed and rise sufficiently fast, greater heterogeneity of consumer incomes also reduces firms' incentives to differentiate their products. Competition between more similar products tends to reduce their prices. However, when income inequality is very high, the top quality producer chooses to serve only the rich segment of the market and charges a higher price. The conclusion is that income inequality has important implications for the degree of product differentiation, price level, industry concentration, and consumer welfare.     

Capacity reservation under spot market price uncertainty

Capacity reservation contracts and spot markets are two alternative purchasing practices. We focus on the cost-effective management of the combined use of these two procurement sources. Due to the variability of the spot market prices and demand uncertainty, the flexibility of combined sourcing can be advantageous. Spot market purchasing is a benefit in case of low spot market prices or insufficient reserved capacity, and the capacity reservation contract is an operational risk hedging for high spot market price incidents. The structure of the optimal combined purchasing policy is complex. In this paper we consider a simple and easy-to-implement capacity reservation—base stock policy and compare it to single sourcing options. We examine the joint effect of demand and spot market price uncertainty. Our analysis shows that in the case of large spot market price variability the combined sourcing is superior over spot market sourcing even in the case of low average spot price. The combined sourcing is also superior over long-term sourcing even in the case of high average spot price if there is large spot market price variability. Analytical and simulation results are presented to show the effect of the different price, cost, and uncertainty parameters on the optimal capacity reservation—base stock policy and on the expected percentage gain over single sourcing.     

Creating Growth in New Markets: A Simultaneous Model of Firm Entry and Price*

Sales in a new market generally follow a hockey‐stick pattern: After commercialization, sales are very low for some time before there is a dramatic takeoff in growth. Reported sales takeoffs across products vary widely from a few years to several decades. Prior research identifies new firm entry or price declines as key factors that relate to the timing of a sales takeoff in new markets. However, this literature considers these variables to be exogenous and only finds unilateral effects. In the present article, new firm entry and price declines are modeled as being endogenous. Thus, the simultaneous relationship between price declines and firm entry in the introductory period of new markets when industry sales are negligible is studied. Using a sample of new markets formed in the United States during the last 135 years, strong support for a simultaneous model of price and firm entry is found: Price decreases relate to the competitive pressures associated with firm entry, and, in turn, firm entry is lower in new markets with rapidly falling prices. Furthermore, a key driver of firm entry during the early years of a new market involves the level of patent activity, and a key driver of price decreases is the presence of large firms. In contrast to the recommendations from other research, these results indicate that rapid price declines may further delay sales takeoff in industries by dampening new firm entry. Instead, rapid sales takeoffs in new markets come from encouraging greater innovative activity and the entry of large firms.