Location equilibrium with asymmetric firms: the role of licensing

It is known that if exogenous cost heterogeneities between the firms in a spatial duopoly model are large, then the model does not have a pure-strategy equilibrium in location choices. It is also known that when these heterogeneities are stochastically determined after firms choose their locations, spatial agglomeration can appear. To tackle these issues, the current paper modifies the spatial framework by allowing firms to exchange the cost-efficient production technology via royalties. It is shown that technology transfer guarantees the existence of a location equilibrium in pure strategies and that maximum differentiation appears in the market.     

Spatial Cournot Competition in a Linear City with Directional Delivery Constraints

This study investigates a sequential game of location and transportation mode choices, as well as the subsequent quantity choice. The results show that spatial Cournot competition with directional delivery constraints yields a richer set of spatial configurations, involving midpoint agglomeration, maximum differentiation and asymmetric dispersion, and a richer set of transportation mode selections, involving delivery in different directions, asymmetric delivery between duopoly firms, and delivery in two directions by each firm, depending on the fixed cost of a transportation instrument. This paper concludes with an investigation of welfare analysis on optimal locations and transportation modes.     

Consumer flexibility,data quality and location choice

We analyze firms’ location choices in a Hotelling model with two-dimensional consumer heterogeneity, along addresses and transport cost parameters (flexibility). Firms can price discriminate based on perfect data on consumer addresses and (possibly) imperfect data on consumer flexibility. We show that firms’ location choices depend on how strongly consumers differ in flexibility. Precisely, when consumers are relatively homogeneous, equilibrium locations are socially optimal regardless of the quality of customer flexibility data. However, when consumers are relatively differentiated, firms make socially optimal location choices only when customer flexibility data becomes perfect. These results are driven by the optimal strategy of a firm on its turf, monopolization or market-sharing, which in turn depends on consumer heterogeneity in flexibility. Our analysis is motivated by the availability of customer data, which allows firms to practice third-degree price discrimination based on both consumer characteristics relevant in spatial competition, addresses and transport cost parameters.     

Spatial Cournot competition in a circular city with more than two dispatches

This paper investigates spatial Cournot competition in a circular city, where the maximal service range of a vehicle is less than half of the perimeter, and a firm needs to initiate more than two dispatches to serve the whole market. We examine a multi‐stage game of location and transportation mode choices, and the subsequent quantity competition between duopoly firms. The findings reveal that non‐maximum dispersion is the unique location equilibrium when duopoly firms deliver products in different transportation modes or when the transportation mode decisions are made endogenously and the fixed cost of a transportation instrument is relatively high.     

The rate of convergence to perfect competition of matching and bargaining mechanisms

We study the steady state of a market with incoming cohorts of buyers and sellers who are matched pairwise and bargain under private information. A friction parameter is τ, the length of the time period until the next meeting. We provide a necessary and sufficient condition for the convergence of mechanism outcomes to perfect competition at the linear rate in τ, which is shown to be the fastest possible among all bargaining mechanisms. The condition requires that buyers and sellers always retain some bargaining power. The bargaining mechanisms that satisfy this condition are called nonvanishing bargaining power (NBP) mechanisms. Simple random proposer take-it-or-leave-it protocols are NBP, while k-double auctions (k-DA) are not. We find that k-DAs have equilibria that converge to perfect competition at a linear rate, converge at a slower rate or even do not converge at all.     

Market structure and matching with contracts

Ostrovsky (2008) [9] develops a theory of stability for a model of matching in exogenously given networks. For this model a generalization of pairwise stability, chain stability, can always be satisfied as long as agents' preferences satisfy same side substitutability and cross side complementarity. Given this preference domain I analyze the interplay between properties of the network structure and (cooperative) solution concepts. The main structural condition is an acyclicity notion that rules out the implementation of trading cycles. It is shown that this condition and the restriction that no pair of agents can sign more than one contract with each other are jointly necessary and sufficient for (i) the equivalence of group and chain stability, (ii) the core stability of chain stable networks, (iii) the efficiency of chain stable networks, (iv) the existence of a group stable network, and (v) the existence of an efficient and individually stable network. These equivalences also provide a rationale for chain stability in the unrestricted model. The (more restrictive) conditions under which chain stability coincides with the core are also characterized.     

Globalization, Asymmetric Tax Competition, and Fiscal Equalization

Trade integration and the increasing mobility of firms have raised the need for international coordination in corporate tax. In this paper, we study the ability of fiscal equalization to avoid the misallocation of capital across asymmetric countries arising from tax competition. Such a reform respects the principle according to which the tax decision is entirely left up to the nation and links nations engaged in strategic tax policy by transfers. We use a model of trade and location where firms produce under imperfect competition. Our analysis suggests that falling trade costs increase the distortion created by tax competition in the international allocation of production. However, we show that fiscal equalization based on differences in tax revenues or tax base can implement a more efficient tax wedge and spatial allocation of the tax base.     

BERTRAND Vs. COURNOT COMPETITION WITH UPSTREAM FIRM INVESTMENT

This paper compares Bertrand and Cournot competition in a vertical structure in which the upstream firm sets the input price and makes R&D investments. We show that from the downstream firms’ point of view, Cournot competition has the advantage of a more monopolistic effect, leading to the setting of a higher price, but has the disadvantage of inducing a lower incentive for the upstream firm to invest. On the other hand, Bertrand competition has the advantage of providing a greater incentive for the upstream firm to invest but has the disadvantage of a more competitive effect, leading to the setting of a lower price. Our main findings are as follows. First, R&D investment level is greater under Bertrand competition than under Cournot competition. Second, from the standpoint of the upstream firm and industry, Bertrand competition is more efficient than Cournot competition. Third, from the standpoint of the downstream firms, Bertrand competition is more efficient than Cournot when investment is sufficiently efficient and products are sufficiently differentiated.     

Search within or beyond the industrial cluster? The effect of perceived competition and knowledge base tacitness on strategic location choices of external knowledge search

ABSTRACT

From a knowledge-based perspective, this paper highlights the need for a framework linking perceived competition of the industry and firms’ strategic location choices of external knowledge search and examines whether the perceived competition increases the propensity of cluster firms to search more widely from extra-cluster knowledge sources than intra-cluster knowledge sources. Furthermore, we emphasise that cluster firms with varying degrees of tacitness in their knowledge base might respond to such competition differently when conducting external knowledge search activities. Using a sample of 310 cluster firms in the Zhejiang Province of China, we find that the cluster firm would increase the propensity for more geographic boundary-spanning search relative to local search while under the pressure of competition. Moreover, the positive relationship between perceived competition and the propensity towards geographic knowledge search is weaker when the tacitness of the cluster firm’s knowledge base is higher. The findings contribute to the understanding of the relationship between competition and the choice of location strategies in external knowledge search.     

PROFITABLE STRATEGIC DELEGATION WITH CONJECTURAL VARIATIONS

Firms delegate strategic decisions to managers because they find it profitable to do so. In the product market, when agents make conjectures about the reaction of their rivals to marginal changes in their own strategies, the set of equilibriums can be enlarged with respect to the case of no conjectures. This paper takes a duopolistic linear market parameterization where firms selling differentiated products can delegate either price or output decisions to managers. We show that it is a dominant strategy for firms to delegate no matter whether firms are Cournot or Bertrand competitors, although the equilibrium is not necessarily efficient. Futhermore, in equilibrium Cournot competition is more profitable for firms than Bertrand competition. Finally, requiring consistency in conjectures yields the same outcome no matter what type of strategic interaction and managerial choice there is on the part of firms.     

Product differentiation and location decisions under demand uncertainty

We investigate Hotelling's duopoly game of location-then-price choices with quadratic transportation costs and uniformly distributed consumers under the assumption that firms are uncertain about the exact location of demand. We characterize the unique equilibrium and the socially optimal locations. Contrary to the individual-level random utility models, location uncertainty is a differentiation force. In equilibrium, increases in the variance of the uncertainty lead to greater differentiation, higher expected equilibrium prices and profits, and a greater welfare loss.     

An endogenous policy model of hierarchical government

Endogenous policy models usually neglect that government policies are frequently the result of decisions taken at different tiers by different agents, each enjoying some degree of autonomy. In this paper, policies are the outcome of the choices made by two agents within a hierarchy. A legislator decides on the budget to be successively spent by a bureaucrat. Both agents are lobbied by one or two interest groups. The combination of sequential decisionmaking and lobbying implies that the interaction between the agent at one tier and the interest group(s) depends on the exchange between the same interest group(s) and the agent at the other tier. Our results concerning multi-tier lobbying and legislatorial oversight substantially qualify the conventional wisdom related to one-tier lobbying. In particular, the reaction of the legislator to lobbying at the bureaucratic tier may make lobbying wasteful even when there is no competition from other lobbies. Moreover, the legislator benefits from lobbying only when there is competition between interest groups at the upper tier. It is also shown that competition for influence at the bureaucratic tier may work as a perfect substitute for legislatorial oversight. Extensions of the model indicate its usefulness for the analysis of decisionmaking in other multilevel governance structures, like federations or firms.     

Technology, agglomeration, and regional competition for investment

Abstract.  Competition for firms by region has a long-standing history, and the academic literature has debated whether such competition is efficient. We develop a model that explores technology development by firms facing regional competition for their investment and examine the endogenous determination of region policy, firm technology, and agglomeration externalities. We find a new source of inefficiency – regional competition leads firms to inefficiently distort their development and selection of production technology to improve their standing in the regional competition for their investment. We show that these inefficient firm decisions on technology and location can also weaken agglomeration externalities.     

Preemptive entry in differentiated product markets

Summary. Models of spatial competition are typically static, and exhibit multiple free-entry equilibria. Incumbent firms can earn rents in equilibrium because any potential entrant expects a significantly lower market share (since it must fit into a niche between incumbent firms) along with fiercer price competition. Previous research has usually concentrated on the zero-profit equilibrium, at which there is normally excessive entry, and so an entry tax would improve the allocation of resources. At the other extreme, the equilibrium with the greatest rent per firm normally entails insufficient entry, so an entry subsidy should be prescribed. A model of sequential firm entry (with an exogenous order of moves) resolves the multiplicity problem but raises a new difficulty: firms that enter earlier can expect higher spatial rents, and so firms prefer to be earlier in the entry order. This tension disappears when firms can compete for entry positions. We therefore suppose that firms can commit capital early to the market in order to lay claim to a particular location. This temporal competition dissipates spatial rents in equilibrium and justifies the sequential move structure. However, the policy implications are quite different once time is introduced. An atemporal analysis of the sequential entry process would prescribe an entry subsidy, but once proper account is taken of the entry dynamics, a tax may be preferable. Received: April 26, 1999; revised version: September 22, 1999     

Entry and exit as a source of aggregate productivity growth in two alternative technological regimes

This paper proposes a neo-Schumpeterian model in order to discuss how the mechanisms of entry and exit contribute to industry productivity growth in alternative technological regimes. Our central hypothesis is that new firms generate gains in aggregate productivity by increasing both the productivity level and competition intensity. By assuming that firms learn about the relevant technology through a variety of sources, and by allowing a continuous flow of entry and exit into the market, our study shows that firm exit and output contraction take mostly place among less productive firms, while output expansion and entry are concentrated among the more efficient ones. The greater is the competitive pressure generated by new entrants, the higher is the expected productivity level of established firms. Overall, our analysis suggests that micro analysis is the proper complement to aggregate industry studies, as it provides a considerable insight into the causes of productivity growth.     

Cost Signals under Uncertain R&D Outcomes

When it is difficult for firms to differentiate their products from those of their competitors, research and development (R&D) spending on process innovation to lower the cost of production is crucial for profitability. However, the information asymmetry in production costs that results from innovation reduces the efficiency of all firms in a market for a homogeneous good. We employ a signalling game to discuss the feasibility of utilising R&D spending and output levels as cost signals in an environment of quantity competition. The results show that a firm does not spend its money on R&D solely to signal the type of cost. Rather, R&D spending may be chosen as a cost signal over the output level only if expenditures on R&D can lead to a sufficiently high probability of reducing production costs.     

Location choice,competition, and welfare in non-tradable service FDI

We investigate whether non-tradable service FDI is efficient from a welfare point of view. A fixed number of firms strategically decide which markets to locate in and then compete in quasi-Cournot fashion. Considering firm location in two symmetric markets, non-tradable service FDI may or may not be efficient for the source country, depending on the total number of firms, competition in markets and the curvature of the demand function. In contrast, non-tradable service FDI is always efficient for the host country and the overall economy. This implies that any policy that affects firm location between two symmetric markets will not be beneficial from a welfare viewpoint.     

HORIZONTAL MERGERS IN A DIFFERENTIATED COURNOT OLIGOPOLY

Using a standard differentiated goods quantity competition setting, we show three facts about horizontal two‐firm mergers that are not true for a homogeneous goods Cournot market. First, merger of two firms is profitable for the merging firms provided that goods are sufficiently distant substitutes. Second, merging of two firms can lead to more two‐firm mergers. Third, an initially non‐profitable two‐firm merger can occur in anticipation of subsequent mergers. These facts imply that mergers are more likely to occur in differentiated goods markets than in homogeneous goods markets.     

Marshallian Externalities And The Emergence And Spatial Stability Of Technological Enclaves *

Technological dualism often is found to be associated with the geographical clustering of firms that use the same techniques. To shed further light on these localization phenomena, we analyze the long-run dynamic behavior of a system in which firms' choices among alternative production methods (each of which requires a technique-specific input) are influenced by both firm-specific random shocks and Marshallian ‘industrial neighborhood’ effects. The latter are local factor market externalities that tend to lower the relative marginal costs d those inputs that are used most extensively in the immediate locale. The model developed here focuses on labor market externalities affecting the supply conditions for workers with technology-specific skills, and their effect on the choices made by producers at various sites whose choice of technique is subject to periodic revisions. A special structure familiar in the applied theory of Markov random fields, the stochastic Ising model. provides a reduced-form representation of this dynamic spatial system. The general properties of models of this type and their application in economics are considered. Discrete time numerical simulations of the behavior of an ensemble of firms (located at the nodes of a finite lattice formed on a two-dimensional (orus) shows that positive neighborhood externalities effects do not necessarily result in the uniquitous diffusion of one of the two available technologies. Instead. this system exhibits a spatially localized form of ‘technological dualism," in which at least two technological enclaves emerge and undergo path-dependent evolution. The temporal durations of these spatial patterns in technology adoption are affected by parameters of the Ising model that can be given a straightforward economic interpretation     

Location decision of managerial firms in an unconstrained Hotelling model

This paper applies an unconstrained Hotelling linear city model to study the effects of managerial delegation on the firms’ location/product differentiation level in a duopoly industry. It is shown that managerial delegation strongly affects firms’ location/product differentiation choice, both in the simultaneous and sequential moves in one of the three-stage location-incentive-pricing game structure of the model. While sequential moves in the location distance/quality differentiation stage decrease the distance among firms, sequential moves in the incentive-pricing stages increase it. The social welfare consequences are analysed.