Multi-store competition: Market segmentation or interlacing?

This paper develops a model for multi-store competition between firms. Using the fact that different firms have different outlets and produce horizontally differentiated goods, we obtain a pure strategy equilibrium where firms choose a different location for each outlet and firms' locations are interlaced. The location decisions of multi-store firms are completely independent of each other. Firms choose locations that minimize transportation costs of consumers. Moreover, generically, the subgame perfect equilibrium is unique and when the firms have an equal number of outlets, prices are independent of the number of outlets.     

Strategic Invasion in Markets with Switching Costs

We investigate the role of consumer switching costs in a three-stage model in which the entrant and the incumbent firm set prices sequentially and then the consumers decide from which firm to buy. We characterize the unique subgame perfect equilibrium and find that even an entrant with a higher marginal cost may profitably invade part of the market due to the existence of switching costs. Switching costs benefit both firms but harm consumers. This model is used to understand pricing behavior in the US telecommunications industry.     

Transportation rates, market structure and the production-location decision : A note

This note examines the effects of market structure on production and location decisions of an oligopolistic firm. It shows that if transportation rates are a function of quantity shipped and distance traveled, a linearly homogeneous production function is not sufficient to ensure independence between the optimum location and market structure unless (i) the elasticities of transportation rates with respect to quantity shipped are constant and identical, and (ii) the ratios of marginal products to the marginal transportation costs are equal for each input. This results is significantly different from Hwang and Mai's in the constant transportation rates case.     

Unicity of the equilibrium in the unconstrained Hotelling model

A spatial duopoly is described, where firms are free to locate along the real axis, while consumers are distributed along a linear city of finite length. By adding a preplay stage where firms are required to set the timing of moves, one can analyze issues such as the endogenous choice of roles and the nature of differentiation at equilibrium. The distribution of roles is discussed both at the location stage and at the price stage. The game exhibits a unique subgame perfect equilibrium in pure strategies (up to a permutation), where firms play simultaneously in locations and sequentially in prices. Moreover, the results highlight the relevance of endogenous differentiation in altering some of the conclusions reached by previous literature. Finally, it turns out that the nature of differentiation may be heavily affected by the sequence of decisions.     

Inventories and Endogenous Stackelberg Leadership in Two‐Period Cournot Oligopoly

Two‐period Cournot competition between n identical firms producing at constant marginal cost and able to store before selling has pure strategy Nash‐perfect equilibria, in which some firms store to exert endogenously a leadership over rivals. The number of firms storing balances market share gains, obtained by accumulating early the output, with losses in margin resulting from increased sales and higher operation costs. This number and the industry inventories are nonmonotonic in n. Concentration (HHI) and aggregate sales increase due to the strategic use of inventories.     

Urban search models under high-relocation costs. Theory and application to spatial mismatch

We develop a search-matching model in which mobility costs are so high that it is too costly for workers to relocate when a change in their employment status occurs. We show that, in equilibrium, wages increase with distance to jobs and commuting costs because firms need to compensate the transportation cost difference between the employed and unemployed workers at each location in the city. We also show that the equilibrium land rent is negatively affected by the unemployment benefit because an increase in the latter induce firms to create less jobs, which, in turn, reduces the competition in the land market. We then use this model to provide a mechanism for the observed spatial mismatch between where black workers live and where jobs are. We finally show that a transportation policy consisting in subsidizing the commuting costs of black workers can increase job creation and reduce unemployment if the level of the subsidy is set at a sufficiently high level.     

Location of industry, market size, and imperfect international capital mobility

This paper examines the impact of imperfect international capital mobility on an industrial location when increasing returns are present. When the international capital mobility is perfect, agglomeration of manufacturing firms progresses with a decline in transportation costs of manufactured goods, and full-agglomeration in a large-market country is observed at low transportation costs. In contrast, when international capital mobility is imperfect, agglomeration in a large-market country progresses with capital trade integration. When the transportation costs of manufactured goods are low, all capital holders in two countries invest their capital into a home market.     

Price Dispersion and Consumer Reservation Prices

We describe firm pricing when consumers follow simple reservation price rules. In stark contrast to other models in the literature, this approach yields price dispersion in pure strategies even when firms have the same marginal costs. At the equilibrium, lower price firms earn higher profits. The range of price dispersion increases with the number of firms: the highest price is the monopoly price, while the lowest price tends to marginal cost. The average transaction price remains substantially above marginal cost even with many firms. The equilibrium pricing pattern is the same when prices are chosen sequentially.     

Bargains Followed by Bargains: When Switching Costs Make Markets More Competitive

In markets where consumers have switching costs and firms cannot price‐discriminate, firms have two conflicting strategies. A firm can either offer a low price to attract new consumers and build future market share or a firm can offer a high price to exploit the partial lock‐in of their existing consumers. This paper develops a theory of competition when overlapping generations of consumers have switching costs and firms produce differentiated products. Competition takes place over an infinite horizon with any number of firms. This paper shows that the relationship between the level of switching costs, firms' discount rate, and the number of firms determines whether firms offer low or high prices. Similar to previous duopoly studies, switching costs are likely to facilitate lower (higher) equilibrium prices when switching costs are small (large) or when a firm's discount rate is large (small). Unlike previous studies, this paper demonstrates that the number of firms also determines whether switching costs are pro‐ or anticompetitive, and with a sufficiently large (small) number of firms switching costs are pro‐ (anti‐) competitive.     

Elements of planar analysis in spatial competition

The spatial competition in price and location between firms has traditionally been analyzed on a one-dimensional space and with linear transportation costs. The present paper attempts at studying that problem on the plane if transportation costs are a strictly increasing fumction of Euclidean distance.     

Spatial competition under uniform delivered pricing

A Hotelling-type model of spatial competition is considered, in which two firms compete in uniform delivered prices. First, it is shown that there exists no uniform delivered price–location equilibrium when the product sold by the firms is perfectly homogeneous andwhen consumers buy from the firm quoting the lower delivered price. Second, when the product is heterogeneous and when preferences are identically, independently Weibull-distributed with standard deviation μ, we prove that there exists a single uniform delivered price–location equilibrium iff μ≧1/8 times the transportation rate times the size of the market. In equilibrium, firms are located at the center of the market and charge the same uniform delivered price, which equals their average transportation cost, plus a mark-up of 2μ. Finally, we discuss how our result extends to the case of n firms and proceed to a comparison of equilibria under uniform mill and delivered pricing.     

Duopoly locations and optimal zoning in a small open city

This paper analyzes a duopoly location model with an asymmetric zoning that prohibits firms from locating to a specific interval in a small open linear city. It is shown that the maximum differentiation principle presented in d'Aspremont et al. [Econometrica 47 (1979) 1145] is still valid under area zoning regulation. Moreover, a zoning regulation can be seen as a policy instrument to limit firms' excess profits, and a proper regulation may even reduce the distortion in total transportation costs, therefore enhancing social welfare. Specifically, the optimal zoning is about 29.5 percent of the city with no amenity effect. Finally, all the land rents raised by zoning are eventually confiscated by the absentee landowner.     

Collusive equilibria with switching costs: The effect of consumer concentration

I study the ability of two competing firms to set collusive prices in markets where consumers have switching costs. In consumer markets (with a small number of consumers), I find an antifolk result in which collusion, in the presence of switching costs, does not arise with patient firms. Patient firms compete aggressively and consumers expect a large utility. A collusive equilibrium is unstable because a deviating firm incorporates the future consumer utility in its deviating price. Also, consumers have a strategic impact so, with the prospects of large utility, they decide to switch to destabilize the firms' collusive agreement. These results do not eventuate in markets with a large number of consumers. In mass markets (a continuum of consumers), a single consumer lacks a strategic impact to destabilize a collusive agreement and a deviating firm cannot appropriate the consumer utility when deviating from collusion. Collusion, then, becomes straightforward to achieve. We show that for any number of consumers, switching costs make collusion easy to sustain.     

Advertising as Information: Matching Products to Buyers

We consider communication of quality via cheap talk and dissipative advertising expenditures, when consumers have heterogeneous tastes for quality, and price information must be acquired through costly search. For search pods, cheap talk communicates quality when fixed costs are roughly constant across quality levels, while if fixed costs vary greatly with quality, then firms having the higher fixed-cost quality level use dissipative advertising. For experience goods, quality can be communicated by cheap talk in a range where low-quality firms have greater fixed costs, and low-quality firms use dissipative advertising if their fixed costs are greater still.     

基于客户满意度的配送中心选址研究

随着企业竞争的加剧以及电子商务的发展,物流经营理念随之发生了改变,企业对客户的满意度越来越受到重视,从原来的为客户服务向使客户满意的方向转变。所以,配送中心需要不断提高服务水平,使顾客达到最大的满意度。而传统的配送中心选址只是以简单的考虑运输成本、建设成本及总成本的最小为目标,因此,本文将顾客满意度引入到配送中心选址模型中,建立以物流成本最小化和顾客满意度最大化为目标的配送中心选址多目标模型,并提供了模型相应的求解方法。     

Divisionalization and Delegation in Oligopoly

We consider a model where oligopolistic firms create independent divisions or franchises, which subsequently delegate output decisions to managers. We show that the number of firms required to make divisionalization privately profitable is greater in our model than in previous pure divisionalization models. However, in contrast with pure delegation models, we show that the subgame perfect Nash equilibrium approaches perfect competition as divisionalization costs tends to zero, even with a small fixed number of firms.     

A theory of multihoming in rideshare competition

We examine competition among ridesharing platforms, where firms compete on both price and the wait time induced with idled drivers. We show that when consumers are the only agents who multihome, idleness is lower in duopoly than when consumers face a monopoly ridesharing platform. When drivers and consumers multihome, idleness further falls to zero as it involves costs for each platform that are appropriated, in part, by their rival. Interestingly, socially superior outcomes may involve monopoly or competition under various multihoming regimes, depending on the density of the city, and the relative costs of idleness versus consumer disutility of waiting.     

Best response dynamics with level-n expectations in two-stage games

This paper analyzes behavior in repeatedly played two-stage games, where players choose actions in both stages according to best replies using level-n expectations about the opponent׳s actions in both stages. Level-n expectations are recursively defined in a way that a player holding level-n expectations correctly predicts the action of an opponent holding level-(n−1) expectations. A general conceptual framework to study such dynamics for two-stage games is developed and it is shown that, contrary to results for single-stage games, the fixed points of the dynamics depend on the level of the expectations. In particular, for level-0 expectation, fixed points correspond to a Nash equilibrium of a simultaneous move version of the game, whereas (under certain conditions) fixed points converge towards the subgame perfect equilibrium of the two-stage game if the level of expectations goes to infinity. The approach is illustrated using a two-stage duopoly game, where firms in the first stage invest in activities reducing their marginal costs and in the second stage engage in Cournot competition. Conditions for local stability of the fixed points are derived for different levels of expectations and it is shown that level-2 expectations are sufficient to move the fixed-point of the dynamics to a close neighborhood of the subgame perfect equilibrium. Furthermore, it is demonstrated that although firms benefit from unilateral increases in the level of expectations, an increase of n by all firms reduces all profits.     

Competing for Consumers with Self‐Control Problems

I examine strategic implications of competing for consumers with self‐control problems. For investment goods, like health clubs, I find that the equilibrium sign‐up (lump‐sum) fees decrease when competition intensifies, similarly to prices in standard oligopoly models. However, the equilibrium attendance (per‐unit) price increases due to firms' deteriorated ability to take advantage of consumers' self‐control problems. Moreover, firms earn less profit due to consumers' self‐control problems—the firms have a unilateral incentive to charge per‐unit fees lower than the marginal cost; however, they cannot make up the lost margins by increasing the lump‐sum fee, due to competition. I also show that for plausible parameter regions the market adjusts to consumers' self‐control problem in such a way that firms play the standard equilibrium strategies that they would have engaged in with fully rational consumers, with identical market outcomes. Most of the results are qualitatively the same for leisure goods (for example, credit cards); however, some results are reversed: the per‐unit fees are higher than marginal cost and decrease as competition intensifies.     

Spatial differentiation,divisible consumption and the pro-competitive effect of income

We analyze a spatial differentiation model with divisible consumption under one-stop shopping. Each consumer who visits only one store, chooses the quantities of the goods which maximize his/her utility function under the budget constraint (namely consumption expenditures must equal income minus transportation costs), choosing the store which provides him/her with the largest indirect utility. We derive the equilibrium price when the firms are located at the two extremities of Hotelling’s linear city and show that income increases have a pro-competitive effect.