Price leadership and firm size asymmetry: an experimental analysis

We use laboratory experiments to examine the effect of firm size asymmetry on the emergence of price leadership in a price-setting duopoly with capacity constraints. Independent of the level of size asymmetry, the unique subgame perfect equilibrium of our timing game predicts that the large firm is the price leader. Experimental data show that price leadership by the large firm is frequent, but simultaneous moves are also often observed. Profit outcomes in the previous period affect the subjects’ decisions to announce or wait in a way that hampers convergence to the equilibrium. Furthermore, while both small and large firms display a strong tendency to wait to announce their price when firm size asymmetry is low, they often set prices early when size asymmetry is high. Prices are higher when price setting is sequential rather than simultaneous and when firm size asymmetry is high. Hence, price leadership by either type of firm has an anti-competitive effect that is more pronounced when the size difference between firms is large.     

On the comparison of price and quantity competition under endogenous timing

This paper compares Bertrand and Cournot equilibria in a differentiated duopoly with linear demand, and asymmetric constant marginal cost under endogenous timing. It shows that endogenous timing leads to two sequential play with both leader–follower configurations in Bertrand, but simultaneous play in Cournot. Moreover, every firm’s mark-up/output ratio and the two firms’ weighted ‘average’ price are all lower, but the two firms’ weighted ‘average’ output is higher in either of the two sequential Bertrand equilibria than in the simultaneous-move Cournot equilibrium.     

CHOOSING ROLES IN A DUOPOLY FOR ENDOGENOUSLY DIFFERENTIATED PRODUCTS*

The choice of the roles by firms in a vertically differenitated duopoly is analysed introducing a preplay stage where firms set the timing of moves, under the alternative assumptions of full or non full market coverage. Under the first, it turns out that the unique subgame perfect equilibrium entails simultaneous play in the quality stage, followed by sequential play in the price stage, where both firms would prefer to be price leader, contrarily to the results obtained by previous literature. Under partial market coverage, it is possible to analyse both price and quantity competition. In such a case, simultaneous play in both stages emerges as the optimal behaviour. Overall, contrarily to the conclusions reached by the previous literature, it is not possible to claim that the choice of the strategy space dominates the distribution of roles.     

Corporate social responsibility and strategic relationships

We analyze a delegation game relevant to the conduct of corporate social responsibility (CSR) in which the firm’s owner offers the manager a contract consisting of firm profit and social welfare. We derive three results that distinctly differ from existing findings. First, CSR decisions are strategic complements for firms. Second, with simultaneous CSR decisions, the equilibrium price is equal to marginal cost, despite the fact that firms compete in a Cournot duopoly. Finally, with sequential CSR decisions, unlike the follower firm, the leader firm never exhibits CSR. However, the follower firm can enjoy a profit equal to that derived by the leader in a Cournot–Stackelberg game.     

The effect of endogenous timing on coordination under asymmetric information: An experimental study

This paper investigates the role of endogenous timing of decisions on coordination under asymmetric information. In the equilibrium of a global coordination game, where players choose the timing of their decision, a player who has sufficiently high beliefs about the state of the economy undertakes an investment without delay. This decision (potentially) triggers an investment by the other player whose beliefs would have led to inaction otherwise. Endogenous timing has two distinct effects on coordination: a learning effect (early decisions reveal information) and a complementarity effect (early decisions eliminate strategic uncertainty for late movers). The experiments that we conduct to test these theoretical results show that the learning effect of timing has more impact on the subjects' behavior than the complementarity effect. We also observe that subjects' welfare improves significantly under endogenous timing.     

Leadership and Privatisation in a Mixed Multi‐product Oligopoly: An Endogenous Timing Model

This paper examines both leadership choice and welfare consequences of privatisation in an endogenous timing mixed multi‐product oligopoly. It shows that a multi‐product firm undermines the welfare‐maximising efforts of a public firm by cross‐subsidising. The paper demonstrates that a unique subgame perfect Nash equilibrium emerges in a multi‐product market, in contrast to the multiple equilibria of a single‐product market. This unique equilibrium indicates that profit‐maximising private firms retain leadership while a welfare‐maximising public firm acts as a follower. Even on the off‐equilibrium path where the public firm acts as a leader, it rarely generates maximum social welfare. However, privatising the public firm usually harms social welfare and results in a different timing structure in equilibrium.     

Timing of endogenous bargaining over costs and firms’ locations

This work analyzes a duopoly in which firms choose their locations and then bargain over wages with their unions. The timing of the bargaining process is endogeously determined. We obtain that bargaining is simultaneous if and only if both firms decide when negotiations take place. Otherwise negotiation takes place sequentially. Under simultaneous or sequential negotiations, the market is equally shared and both firms have the same price-cost margins and profits. When bargaining is sequential firms have higher profits, the leader locates closer to the market than in the simultaneous case, the follower locates further away and the distance between the two firms is greater.      

The impact of convertible debt financing on investment timing

We develop a model to examine the timing of investment decisions in relation to the issuance of convertible debt by firms. Our model shows that when the demand shock has higher volatility, the firm finances the investment cost with high-coupon convertible debt. We find that default occurs earlier for firms that finance with convertible debt rather than with straight debt. We also find that firms with high-growth prospection, high volatility, and low capital costs that issue convertible debt tend to defer investments. Furthermore, we examine the investment decisions in which the convertible debt includes a call provision. We show that firms that use callable convertible debt invest earlier than those that use non-callable convertible debt by using suboptimal coupon payments. The opportunity from the forced conversion increases as the volatility increases. These results are consistent with recent empirical evidence.     

Strategic timing in R&D agreements

We study the endogenous formation of R&D agreements in a R&D/Cournot duopoly model with spillovers where also the timing of R&D investments is endogenous. This allows us to consider the incentives for firms to sign R&D agreements over time. It is shown that, when both R&D spillovers and investment costs are sufficiently low, firms may find difficult to maintain a stable agreement due to the strong incentive to invest noncooperatively as leaders. In this case, the stability of an agreement requires that the joint investment occurs at the initial stage, thus avoiding any delay. When spillovers are sufficiently high, the coordination of R&D efforts becomes a profitable option, although firms may also have an incentive to sequence noncooperatively their investment over time. Finally, when spillovers are asymmetric and knowledge mainly leaks from the leader to the follower, investing as follower may become extremely profitable, making R&D agreements hard to sustain unless firms strategically delay their joint investment in R&D.     

TAX COMPETITION IN A SIMPLE MODEL WITH HETEROGENEOUS FIRMS: HOW LARGER MARKETS REDUCE PROFIT TAXES*

We set up a simple two‐country model of tax competition where firms with different productivity decide in which location to produce and sell output. In this model, a unique, asymmetric Nash equilibrium is shown to exist, provided that countries are sufficiently different with respect to their exogenous market size. Sorting of firms occurs in equilibrium, as the smaller country levies the lower tax rate and attracts the low‐cost firms. A simultaneous expansion of both markets that raises the profitability of firms intensifies tax competition and causes both countries to reduce their tax rates, despite higher corporate tax bases.     

Identification of firms’ beliefs in structural models of market competition

Firms make decisions under uncertainty and differ in their ability to collect and process information. As a result, in changing environments, firms have heterogeneous beliefs on the behaviour of other firms. This heterogeneity in beliefs can have important implications on market outcomes, efficiency and welfare. This paper studies the identification of firms’ beliefs using their observed actions—a revealed preference and beliefs approach. I consider a general structural model of market competition where firms have incomplete information and their beliefs and profits are nonparametric functions of decisions and state variables. Beliefs may be out of equilibrium. The framework applies both to continuous and discrete choice games and includes as particular cases models of competition in prices or quantities, auction models, entry games and dynamic games of investment decisions. I focus on identification results that exploit an exclusion restriction that naturally appears in models of competition: an observable variable that affects a firm's cost (or revenue) but does not have a direct effect on other firms’ profits. I present identification results under three scenarios—common in empirical industrial organization—on the data available to the researcher.     

Consumer foresight,customer data,and investment in targeting technology

We analyze competing firms’ incentives to adopt a technology that allows making refined targeted offers to returning customers. Consumer foresight is crucial for firms’ decisions. Although our setup is symmetric, when consumers are myopic, the unique equilibrium is asymmetric in firms’ technology adoption decisions. Contrary to conventional wisdom, consumers may be better off being myopic than sophisticated. Light privacy policy may benefit consumers if it reduces the costs of handling customer data and avoids strict obligations on firms to inform consumers about data use, which would erode investment incentives into targeting technology.     

Endogenous timing when a vertically integrated producer supplies a rival

This paper derives the timing equilibrium when a vertically integrated producer (VIP) supplies essential inputs to its retail rival. Such circumstances arise in a variety of industries, often characterized by regulated input prices. The distinguishing feature of markets with an influential VIP is that the VIP is not only a retail competitor but is also concerned about wholesale profits–profits it gleans from its retail rival(s). The VIP’s desire to balance profits across wholesale and retail markets leads to results that challenge conventional thinking about timing equilibria. Notably, under quantity competition, rather than the familiar cut-throat race to be a leader, the timing equilibrium prescribes a natural leader–follower sequencing, with each party in a “win–win” situation relative to simultaneous early play.     

Commitment,first-mover-, and second-mover advantage

We identify circumstances under which a firm with a first-mover advantage may get leapfrogged by a follower. At the market stage we assume a Stackelberg structure, i.e. the leader commits to a quantity and the follower reacts to it. We allow the owners of both firms to select the internal organization and the production technology before quantities are set. That is, leader and follower can additionally use two commitment strategies alternatively or in combination: investing in R&D and delegating quantity decisions to managers. Despite the symmetry of options for the two firms, we find that there is a unique equilibrium in which both firms invest in process R&D, only the follower delegates, and the follower can overcome the first-mover advantage of the quantity leader and obtain a higher profit than the leader. Our analysis reveals that there are some important differences between the two commitment devices “cost-reducing R&Dt” and “delegation to managers”.      

Information transmission during the trial: The role of punitive damages and legal costs

This paper studies an incomplete information model in which a preventable accident occurred. The judge determining punitive damages observes the firm's (defendant) investment decisions, but is uninformed about the firm's experience adopting safety measures. Our model allows firms to file an appeal if the judge's verdict is incorrect, which the judge may accept or reject. We identify under which conditions a separating equilibrium exists where the firm's investment decisions signal its type to the judge, who responds with a correct verdict, thus avoiding future appeals. Our paper also finds conditions under which a pooling equilibrium exists whereby the firm's investment in precaution conceals its type from the judge, who can respond with an incorrect verdict thus giving rise to appeals. Furthermore, we show that the separating equilibrium is more likely to arise if the percentage of revenue that defendants are required to pay in punitive damages decreases, if the punitive‐to‐compensatory ratio increases, and if the legal cost of filing an appeal increases.     

Stackelberg leadership in a dynamic duopoly with stochastic capital accumulation

I propose a dynamic duopoly model where firms enter simultaneously but compete hierarchically á la Stackelberg at each instant over time. They accumulate capacity through costly investment, with capital accumulation dynamics being affected by an additive shock the mean and variance of which are known. The main findings are the following. First, the Stackelberg game is uncontrollable by the leader; hence, it is time consistent. Second, the leader invests more than the follower; as a result, in the steady state, the leader’s capacity and profits are larger than the follower’s. Therefore, the present analysis does not confirm Gibrat’s Law, since the individual growth rate is determined by the timing of moves.JEL Classification: C61, C73, D43, D92, L13Financial support within the project The post-entry performance of firms: technology, growth and survival lead by Enrico Santarelli, co-financed by the University of Bologna and MIUR, is gratefully acknowledged. I thank Uwe Cantner, Roberto Cellini, Roberto Golinelli, Helen Louri, Enrico Santarelli, Antonello Scurcu, Peter Thompson, two anonymous referees and the audience at the final workshop of the project (Bologna, November 22-23, 2002) for useful comments and discussion. The usual disclaimer applies.     

R&D INVESTMENTS AND SEQUENTIAL WAGE NEGOTIATIONS*

This paper analyses how the structure of wage bargaining affects R&D investment by firms that increases the productivity of labour in a Cournot duopoly. We find that total expenditure on R&D is greater when wages are set simultaneously than when they are set sequentially. Thus sequential wage negotiations reduce the incentive for firms to innovate and affect the productivity of labour. When wage negotiations are sequential the productivity of labour is greater (lower) in the follower (leader) firm than when negotiations are simultaneous. We also obtain that for same parameter values it is possible for the firm with the lower productivity to end up paying a higher wage than the firm with the higher level of labour productivity.     

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     

Owning capital or being shareholders: An equivalence result with incomplete markets

Many recent papers in macroeconomics have studied the implications of models with household heterogeneity and incomplete financial markets under the assumption that households own the stock of physical capital and undertake the intertemporal investment decisions. In these models, production exhibits constant returns to scale, households maximize expected discounted utility, and firms rent capital and labor from households to maximize period by period profits. This paper considers the case in which infinitely lived firms, rather than households, make the intertemporal investment decisions. Under this assumption, it shows that there exists an objective function for firms that results in the same equilibrium allocation as in the standard setting with one period lived firms. The objective requires that firms maximize their asset value, which is defined as the discounted value of future cash flows using present value processes that do not allow for arbitrage opportunities.     

Tax competition for foreign direct investment under information uncertainty

The relation between taxation states and foreign direct investment (FDI) has been studied from several perspectives and with states at different levels of development. Most previous studies, however, have only considered the impact of tax level on FDI volume. This paper enhances this view by assuming that multinational enterprises (MNEs) can use transfer prices systems and have investment timing flexibility. Thus, it evaluates the impact of the use of international transfer pricing systems on state policy and on the investment timings of MNEs. In uncertain business environments (with the periodic releases of news), investment can increase if MNEs delay investment decisions. This paper shows how tax differentials can attract FDI and can influence MNE behavior. The equilibrium is set in a global environment where MNEs can shift their profits between states depending on local corporate tax rates. Assuming the use of transfer pricing schemes, this paper confirms the relationship between MNE behavior and the release of business news.