Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility

This paper presents a model of stochastic oligopoly with demand uncertainty where firms endogenously choose entry timing. We examine two extreme types of market structure and show that the equilibrium correspondence that connects them is continous. With two identically sized firms, there are symmetric, Cournot type equilibria where the probability of early entry declines with greater uncertainty, and for low uncertainty two asymmetric equilibria. With one large firm with a continuum of nonatomic firms, there is a unique Stackelberg equilibrium. We conclude that the behavior of a dominant firm with a finite fringe can be approximated by Stackelberg equilibrium.Journal of Economic LiteratureClassification Numbers?: D21, L11.     

Equal treatment and socially optimal R&D in duopoly with one‐way spillovers

This paper examines the standard symmetric two‐period R&D model with a deterministic one‐way spillover structure: know‐how flows only from the high R&D firm to the low R&D firm (but not vice versa). Though firms are ex ante identical, one obtains a unique asymmetric equilibrium (pair) in R&D investments, leading to interfirm heterogeneity in the industry. R&D cooperation by means of a joint lab is considered and compared to the non cooperative solution. The main part of the paper provides a second‐best welfare analysis in which we show that the joint lab yields a socially optimal R&D level subject to an equal treatment (of firms) constraint, which also coincides with the noncooperative solution in the absence of spillovers. We also investigate the welfare costs of this equal treatment constraint and find that they can be quite significant.     

Optimism and firm formation

This paper analyses firm formation and innovation in an economy where agents differ with respect to their optimism in the face of ambiguity. Individuals choose between starting a firm or working in one; and also between employing a traditional technology or a new technology about which little is known. In the face of ambiguity, decision-makers are either optimistic or pessimistic. We study the innovation-proof equilibria of the economy: wages clear all labor markets when agents make optimal occupational choices, and no mutually beneficial opportunity for innovation remains unexploited. In equilibrium, optimists are more likely to form firms, but also more likely to be workers in firms using the ambiguous technology. This phenomenon sheds new light on the relationship between firm culture and technology. We find that three types of firms emerge in equilibrium: entrepreneurial firms, where both owners and workers are optimists operating a highly ambiguous technology; traditional firms, where an optimistic owner employs a pessimistic worker and uses a less ambiguous technology; and bureaucratic firms where both owners and workers are pessimists employing a well-known technology. We also suggest how the relative scarcity of the optimists may help to explain the commonly observed S-shaped diffusion profile for successful innovations.     

Pollution abatement with disruptive R&D investment

This paper examines a model of investment in abatement where polluting firms produce output while investing in R&D. This investment, however, increases production costs, thus disrupting first-period output. We identify three equilibrium profiles where firms choose to either: (1) invest in R&D alone (thus rationalizing a common modeling assumption in the literature); (2) produce output alone; or (3) engage in both activities. We evaluate how the emergence of each result is affected by the market structure in which firms compete and by the severity of spillover effects. We then measure welfare levels in each equilibrium profile. Overall, we show that firms endogenously choose to focus on R&D only when the market is concentrated and spillover effects are small. In other type of industries, our findings indicate that firms may focus on output production or engage in both activities under relatively large conditions.     

R&D policy in a vertically related industry

In this paper, we analyze the effectiveness of public policy aimed to stimulate business-performed R&D in a vertically related market. We examine the role of an R&D active upstream supplier in a four-stage R&D model, where we incorporate public funding. The considered policy instrument is direct funding of firms’ R&D efforts. We calculate the optimal policies and show that they have a positive impact on firms’ R&D investments. From a welfare point of view, it is optimal to differentiate the subsidy rates between the upstream and the downstream markets. Competition in the product market leads to a higher subsidy rate to the upstream supplier than to the downstream firms. When concentration is high in the downstream market, the optimal solution is an R&D subsidy for these firms, otherwise the optimal solution is an R&D tax for the downstream firms.     

Chores

We analyze situations where the provision of each of c public goods must be voluntarily assumed by exactly one of n private agents in the absence of transfer schemes or binding contracts. We model this problem as a complete information, potentially infinite horizon game where n agents simultaneously wage c wars of attrition. Providing a public good commits an agent not to take on the provision of another public good for a fixed period. We explore the strategic trade-offs that this commitment ability and the multiplicity of tasks provide. Subgame perfect equilibria (SPEs) are characterized completely for games with two agents and two public goods. For games with two identical agents and c > 1 identical public goods, we establish that an equilibrium that yields a surplus-maximizing outcome always exists and we provide sufficient conditions under which it is the unique equilibrium outcome. We show that under mild conditions, the surplus-maximizing SPE is the unique symmetric SPE. Journal of Economic Literature Classification Number: H41, C72, D13.     

International R&D Collaboration and Strategic Trade Policy

We study an international trade model with symmetric countries and symmetric firms, with countries making strategic trade policies, anticipating the decisions of firms on R&D collaboration at the subsequent stage. In general we should observe a conflict between the equilibrium outcome and the efficient one. We find that an asymmetric outcome where one country unilaterally liberalizes trade while the other does not is likely to occur. We also find that while banning international R&D collaboration may help to reach free trade equilibrium in certain situations, it provides little assistance in reaching the outcome that maximizes global welfare.     

Binary games with many players

Summary. We examine a problem with n players each facing the same binary choice. One choice is superior to the other. The simple assumption of competition - that an individual’s payoff falls with a rise in the number of players making the same choice, guarantees the existence of a unique symmetric equilibrium (involving mixed strategies). As n increases, there are two opposing effects. First, events in the middle of the distribution - where a player finds itself having made the same choice as many others - become more likely, but the payoffs in these events fall. In opposition, events in the tails of the distribution - where a player finds itself having made the same choice as few others - become less likely, but the payoffs in these events remain high. We provide a sufficient condition (strong competition) under which an increase in the number of players leads to a reduction in the equilibrium probability that the superior choice is made.Received: 24 July 2003, Revised: 24 January 2005, JEL Classification Numbers: C72, D02, D49, L19.Flavio M. Menezes: Correspondence toThis paper has benefitted from comments by an anonymous referee and seminar participants at the ANU, Boston University, Harvard University Law, Economics and Organization Seminar, University of Wisconsin and at the Econometrics Society Australasian Meetings, Auckland New Zealand. We also thank Lucian Bebchuk, Eddie Dekel, Oliver Hart, Luis Kaplov, Paulo Monteiro and John Quiggin for very useful comments. All errors are our own. Menezes acknowledges the financial support from ARC (grant no. 00000055) and the hospitality of EPGE/FGV and RSPAS/ANU.     

OPTIMAL POLICY FOR PRODUCT R&D WITH ENDOGENOUS QUALITY ORDERING: ASYMMETRIC DUOPOLY*

We examine the optimal R&D subsidy/tax policy under a vertically differentiated duopoly. In a significant departure from the existing work, we consider the case of asymmetric costs of product R&D where there is a small technology gap between firms. In our analysis, the endogeneity of quality ordering is explicitly taken into account. We demonstrate the possible anti‐leapfrogging effect of R&D subsidy/tax policy. By committing to a firm‐specific subsidy schedule contingent on firms’ quality choices, the government can not only correct distortions in product quality but also select the socially preferred equilibrium. The latter role is fulfilled by preventing the technologically inferior firm from becoming a quality leader in the industry. Both Bertrand and Cournot cases are analysed.     

Price search and spatial competition

In this paper we study a model where two spatially scattered sellers face a population of consumers dispersed over a given geographical area; they have to incur a transaction cost to place their purchase order. Moreover these consumers have imperfect knowledge of prices, but obtain full information about prices at the first shop they solicit. We study price competition between these firms. The main outcomes of our analysis are as follows. First we show that whenever a price equilibrium exists for given locations of firms, it will necessarily display price dispersion. Second we study location configurations which ensure the existence of a price equilibrium. Furthermore we show that when it exists, a price equilibrium is unique. Finally we analyze firms revenues when merchants anticipate the consequences of their locational choice on subsequent price competition. Then we find that there is an incentive for a firm to get as close as possible to its competitor.     

Stable partitions in a model with group-dependent feasible sets

Summary. In this paper we consider a model of group formation where group of individuals may have different feasible sets. We focus on two polar cases, increasing returns, when the set of feasible alternatives increases if a new member joins the group, and decreasing returns, when a new member has an opposite effect and reduces the number of alternatives available for the enlarged group. We examine two notions, stability and strong stability of group structures, that correspond to Nash and Strong Nash equilibrium of the associated non-cooperative game, and identify the classes of stable and strongly stable environments.Received: 29 June 2003, Revised: 17 February 2004, JEL Classification Numbers: C71, C72, D62, D71.The previos version of this paper has been written while the second author was visiting the Technical University of Dresden. He wishes to thank the Alexander von Humboldt Foundation for its generous support and the Technical University of Dresden for its hospitality. The authors are grateful to an anonymous referee for useful comments.     

On price equilibrium with multi-product firms

In this paper, we provide a result that shows existence and uniqueness of Nash equilibrium in cases in which existing methods are problematic. This result is based on a theorem by Kellogg (Proc Am Math Soc 60:207–210, 1976) that provides conditions for the existence of a unique fixed point. We apply it to the simple logit discrete choice model and the CES representative consumer model, where asymmetric cost firms produce multiple vertically and horizontally differentiated products and compete in prices.     

Strategic Rivalry With Spillovers Within Segmented Versus Integrated Markets

We consider a two-stage game with firms investing in R&D in the first stage while competing [a] la Cournot in the second stage. The firms are located in two countries, which are either segmented or integrated. R&D spillovers occur between firms located in the same country as well as between firms located in different countries.

We first examine the consequences of market integration on the impact of national and international R&D spillovers on innovative efforts, effective R&D, profits and total welfare. Comparing the resulting equilibrium levels, we subsequently conclude that market integration always leads to higher R&D investments and output if international R&D spillovers are limited, while the welfare consequences are ambiguous. Finally, we also analyze the welfare maximization problem of a ‘constrained social planner who can only decide on the level of R&D spillovers.     

Monetary policy and the financial decisions of firms

Summary. In this paper we develop a general equilibrium model with heterogeneous, long-lived firms where financial factors play an important role in their production and investment decisions. When the economy is hit by monetary shocks, the response of small and large firms differs substantially, with small firms responding more than big firms. As a result of the financial decisions of firms, monetary shocks have a persistent impact on output. Another finding of the paper is that monetary shocks lead to considerable volatility in stock market returns.Received: 20 November 2003, Revised: 26 August 2004 JEL Classification Numbers: E5, G3.T.F. Cooley, V. Quadrini: We have received helpful comments on earlier versions of this paper from Jeff Campbell, David Chapman, Thomas Cosimano, Joao Gomes, Boyan Jovanovic, José-Víctor Ríos-Rull, and Harald Uhlig. Correspondence to: V. Quadrini     

Strategic policy for product R&D with symmetric costs

Abstract.  In this paper I examine strategic policy for product R&D in an international duopoly where domestic and foreign firms are identical. It is shown that strategic R&D policy is described by a subsidy schedule contingent on firms' quality choices. Unilateral policy enables its domestic firm to produce a high‐quality product, making equilibrium outcome unique. With two active governments, in equilibrium they implement different subsidy schedules. Two equilibrium outcomes exist, which are identical except for the identity of the countries. Thus, both countries have an equal chance to become the high‐quality exporter. Both Bertrand and Cournot cases are examined. JEL classification: F12, F13
Politique stratégique pour le R&D dans le développement de nouveaux produits quand les coûts sont symétriques.  Ce mémoire examine la politique stratégique pour le R&D dans le développement de produits nouveaux dans un duopole international où les entreprises domestique et étrangère sont identiques. On montre que cette politique est décrite par cédules de subventions qui dépendent des choix du niveau de qualité des entreprises. Une politique unilatérale permet à l'entreprise domestique de manufacturer un produit de haute qualité– ce qui engendre des résultats d'équilibre uniques. Si deux gouvernements sont actifs, en équilibre, ils mettent en place des cédules de subventions différentes. Deux résultats d'équilibre existent qui sont identiques sauf pour l'identité des pays. Donc les deux pays ont une chance égale de devenir l'exportateur du produit de haute qualité. On examine les cas de figure à la Bertrand et à la Cournot.     

Property rights protection and corporate R&D: Evidence from China

Following the recent literature on institutions and economic growth, we examine the effects of property rights protection on corporate R&D. Using a unique 2003 World Bank survey of over 2400 firms in 18 Chinese cities, we obtain the following findings: (1) property rights protection is positively and significantly related to corporate R&D activity (for both process and product R&D); (2) government services and helping hand are conducive to corporate R&D, while informal payments to government officials are not; and (3) government ownership of firms and direct appointment of CEOs are negatively associated with corporate R&D activities. We also find that corporate R&D is positively related to firm size, and access to finance, but negatively related to product market competition and firm age.     

Noncooperative Equilibrium and Chamberlinian Monopolistic Competition

This paper addresses the existence of equilibrium for a nonatomic Bertrand game in a Chamberlinian environment. We reformulate O. Hart′s model (Rev. Econ. Stud. 52, 1985, 529–546) as a nonatomic game and show that under dispersion of tastes and continuity of the tastes density, there exists a pure-strategies ε-equilibrium where prices exceed marginal cost. Unlike Hart′s model there is no need to impose uniformity (or even independence) on the distribution of the m-tuple of differential commodities that consumers care about. Moreover, demand curves are allowed to vary across firms and in equilibrium firms may earn profits. Journal of Economic Literature Classification Numbers: B21, D43, L13.     

ANTIDUMPING,INTRA‐INDUSTRY TRADE,AND QUALITY REVERSALS

We examine an export game where two (home and foreign) firms produce vertically differentiated products. The foreign firm is more R&D efficient and is based in a larger and richer market. The unique (risk‐dominant) Nash equilibrium exhibits intra‐industry trade, and the foreign producer manufactures a higher‐quality product. When transport costs are low, unilateral dumping by the foreign firm arises; otherwise, reciprocal dumping occurs. For some parameters, a domestic antidumping policy leads to a quality reversal in the international market whereby the home firm becomes the quality leader. This policy is desirable for the implementing country, though world welfare decreases.     

The closed‐loop effect and the profitability of horizontal mergers

Abstract.  We study the profitability of horizontal mergers in a dynamic competition context with sticky prices. It is shown that, when firms use open‐loop strategies, a merger is profitable only if the share of the market that merges is significant enough. In the case where firms use closed‐loop strategies we provide a method to conduct analytically the study of the profitability of horizontal mergers. We first prove the existence of an equilibrium of the game when a subset of firms merges. When firms use feedback strategies, mergers are profitable even when the share of the market that merges is arbitrarily small. JEL Classification:D4, L13     

Externalities, expectations, and growth

Summary. The paper studies a model of accumulation and growth where a continuum of heterogeneous firms play dynamically optimal strategies along a (rational expectations) equilibrium. The key feature of the model is that firms' technological decisions are assumed subject to both friction and external effects. This gives rise to a wide multiplicity of equilibrium behavior, any path of sustained growth requiring that the economy tackle a never-ending chain of fresh coordination problems. This setup is modelled as a (non-atomic) dynamic game, suitable conditions being provided that partially characterize when sustained growth is a possible (never the unique) equilibrium outcome. Received: May 25, 1995; revised version: March 25, 1998