Commodity taxation and imperfect competition : A note on the effects of entry

This paper looks at the effects of allowing the number of firms to vary in Seade's model of oligopoly and taxation. We show that the normative and positive consequences of a specific commodity tax are affected by entry in significant ways.     

Price normalization under imperfect competition

In general equilibrium models of imperfect competition the equilibria depend on how prices are normalized. This note shows that a price normalization preserves convexity properties if and only if prices are measured in terms of a fixed commodity bundle. I am grateful to an anonymous referee for helpful comments, inspiring a simplification in the proof of the main result, and the argument in the Remark.     

Electoral competition under imperfect information

Summary. This paper considers electoral competition between two office-motivated parties and one voter, in the presence of two alternative policies and under imperfect information. The theory of refinements of Nash equilibrium predicts the outcome of this three-player game: both parties faithfully use their information and try to find the best policy for the voter. We discuss the meaning of this model for Politics and prove that the same result holds for any number of voters, provided that parties are expected plurality maximizers and that voters satisfy a version of the sincere voting assumption adapted to this strategic setting.Received: 12 December 2001, Revised: 16 June 2003JEL Classification Numbers: C72, D72, D82.Correspondence to: Jean-François LaslierThanks to Gabrielle Demange, Françoise Forges, Roger Guesnerie, Jean-Fran çois Mertens, Thomas Palfrey, Sylvain Sorin and other participants in workshops and conferences in Caen, Paris, Caltech and Yale. Thanks also to two anonymous referees and to Paul Heidues and Johan Lagerlöf for their comments. This work was originated when K. Van der Straeten was at THEMA (Université de Cergy-Pontoise) and DELTA.     

A price competition game under free entry

This study builds a game of Bertrand-like price competition in a market with free entry. Under the assumption of a standard U-shaped average cost curve, it demonstrates that even if the number of sellers is small, a long-run competitive outcome can be supported as a Nash equilibrium. This game provides unifying treatments to the standard Bertrand equilibrium, the long-run competitive outcome, Demsetz’s equilibrium as well as other types of equilibria that have not been known in the existing literature.This paper is dedicated to Professor Mukul Majumdar to celebrate his sixtieth birthday. I am deeply indebted to Mukul for his generosity and kindness towards me throughout my career. I am also grateful to Tapan Mitra and anonymous referees for their very useful comments and suggestions in the revision and to Fumio Dei, Jim Friedman, Koji Ishibashi, Atsushi Kajii, Takashi Kamihigashi, Kunio Kawamata, Kei-ichi Koda, Takashi Negishi, Michihiro Ohyama, Santanu Roy, and Yoshimasa Shirai for useful conversations and correspondence and, in particular, Motonari Kurasawa, who drew to my attention Demsetz’s work.     

The price normalization problem in imperfect competition and the objective of the firm

Summary. General equilibrium models of oligopolistic competition give rise to relative prices only without determining the price level. It is well known that the choice of a numéraire or, more generally, of a normalization rule converting relative prices into absolute prices entails drastic consequences for the resulting set of Nash equilibria when firms are assumed to maximize profits. This is due to the fact that changing the price normalization amounts to altering the objective functions of the firms. Clearly, the objective of a firm must not be based on price normalization rules void of any economic content. In this paper we propose a definition of the objective of a firm, called maximization of shareholders' real wealth, which takes shareholders' demand explicitly into account. This objective depends on relative prices only. Real wealth maxima are shown to exist under certain conditions. Moreover, we consider an oligopolistic market and prove the existence of a Nash equilibrium in which each firm maximizes the real wealth of its shareholders. Received: July 10, 1997; revised version: July 27, 1998     

Indeterminacy of intertemporal equilibria under imperfect competition

Summary. It is known that overlapping generations models with imperfectly competitive firms may exhibit a continuum of stationary equilibria. The reason of this indeterminacy is that different price expectation functions of consumers lead to different objective demand functions against which firms maximize. All these expectation functions fulfill perfect foresight in the equilibrium, but they can be arbitrary off the equilibrium. In this paper it is shown that it is not this arbitrariness which is responsible for the indeterminacy, but that the continuum of stationary equilibria emerges even if expectation functions are rational. Received: March 25, 1999; revised version: February 16, 2000     

Relative price fluctuations in a two-sector model with imperfect competition

Counter-cyclical fluctuations in the price of investment in consumption units are often attributed to investment-specific technology shocks. This paper looks at an additional source for such fluctuations: sector-specific markup variations, the idea being that pro-cyclical competition and the higher variability of investment compared to consumption pushes down the relative price of investment during expansions. I find that such endogenous movements in sector-specific markups can account for up to about one quarter of the observed fluctuations in the price of investment.     

Tax principles and tax harmonization under imperfect competition: A cautionary example

This paper shows that under imperfect competition, the welfare effects of indirect tax harmonization may depend crucially on whether taxes are levied by the destination or the origin principle. In a standard model of imperfect competition, while harmonization always makes at least one country better off, and may be Pareto-improving, when taxes are levied under the destination principle (which currently applies in the European Union), harmonization of origin-based taxes (as recently proposed by the European Commission) is certain to be Pareto-worsening when the preferences in the two countries are identical, and is likely to be so even when they differ.     

The objective of a privately owned firm under imperfect competition

This paper proposes a model of imperfect competition among privately owned firms that act in the best interest of their shareholders. The existence of a solution for the model is proved under weaker conditions than the ones generally used in the literature. In particular, the results did not require the existence of a continuous equilibrium price selection or concavity assumptions on the profit function.      

Technical change and employment under imperfect competition with perfect and imperfect information

We consider the implications of process innovation for the aggregate level of employment of assuming that not all firms adopt new technologies simultaneously and that non-innovators adopt (temporarily)disequilibrium strategies (due to imperfect information about the introduction of the new technology). Two alternative scenarios are explored. In one, consumers' demands arise from symmetric homothetic preferences, and in the other from asymmetric (Hotelling-type) preferences. We find that there may be a reduction in employment in the transition to the new equilibrium under both types of preferences even if there is no decrease (or an increase) in the new (long-run) equilibrium level of employment. The conditions under which this will occur are however different for the alternative preference structures. Further, the latter are shown to have different implications for theequilibrium effects of process innovation.     

Substitution and output effects in the neoclassical theory of the firm under imperfect competition

Since 1938, it has been established that the effect produced by a variation in an input price on the use of another input can be decomposed into a substitution effect and an output effect (or scale effect). Nevertheless, this distinction is still denied today by many authors. Here, one tries to establish in which manner imperfect competition in the product market alters the respective importance of substitution and output effects. Some implications are then derived about alternative manners of defining substitutability and complementarity between inputs.     

A factor endowment theory of international trade under imperfect competition and increasing returns

Abstract.  Constructing a two‐good (competitive and imperfectly‐competitive goods), two‐primary factor (capital and labor) and two‐country model of international trade where the imperfectly‐competitive sector is subject to increasing returns to scale, we establish an oligopolistic version of the Heckscher‐Ohlin theorem. JEL classification: F10, F12     

A note on Stackelberg competition

This note investigates a Stackelberg–Nash competition model. We determine the conditions under which the leaders may achieve better profits than the followers when all firms compete on quantity in a two stage game. We focus on the properties of the followers’ best response functions. It is shown that the Stackelberg equilibrium may coincide with the Cournot equilibrium. In addition, the followers may achieve higher profits than the leaders. Such results put forward the working and the consequences of strategic complementarities. These results are illustrated with three examples.     

Subject pool effects in price competition games: students versus professionals

Questioning the external validity of experiments that rely on student participants is an evergreen theme in experimental economics. Yet, there is ambiguous evidence of potential subject-pool bias. We add to the subject-pool debate by enlarging the set of experiments for which subject-pool differences have been studied. In a duopolistic Bertrand market setup designed to test for collusive behaviour, we test two treatments. The first is a baseline treatment, where participants cannot communicate with each other, while the second is a communication treatment in which participants are allowed to communicate. Each treatment is first conducted with students and then replicated with professionals. Our results show that student subjects and professionals differ significantly. However, these differences manifest themselves in quantitative rather than qualitative terms. Professionals do collude more, but their behavioural difference between treatments is similar. Students are thus a valid surrogate, if the research question is qualitative, but results generated by student samples should be handled with caution, if quantitative differences matter.     

Effects of horizontal consolidation under bilateral imperfect competition between processors and retailers

This article considers bilateral imperfect competition between processors and retailers to estimate the trade off between market power and cost efficiency. The model is based on pricing rules from a firm's profit maximization and nests both oligopoly and oligopsony models. An empirical analysis for US beef processors and retailers suggests that processors tend to exercise oligopsony market power in procuring cattle, but they are unlikely to exercise market power on retailers. When retailers and processors are considered as one integrated sector, efficiency effects from the increased concentration in the US beef packing industry are slightly larger than market power effects. When processors’ market power is considered separately from retailers’ market power, the difference between cost saving and market power effects becomes greater. The cost elasticity estimate, 0.99, indicates that a further merger would result in little economies of scale in the future. Therefore, although we find that efficiency effects are currently larger than market power effects, a further increase in concentration in the US beef processing industry could narrow the gap between the two effects.     

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.     

The welfare cost of imperfect competition and distortionary taxation

The welfare cost of imperfect competition in the product and labor markets in the United States is quantified in a dynamic general equilibrium model. We find that the welfare cost of imperfect competition in the product market is 3.62 percent while it is 0.58 percent in the labor market, taking the transition path from the distorted to the optimal steady state into account. If we also take into account that the US economy is characterized by distortionary taxation, the welfare cost of the product market distortion increases to 13.51 percent and the labor market distortion to 4.35 percent.