Mixed pricing in oligopoly with limited monopoly

We analyze price competition between two brands. Buyers consist of switchers and two segments of customers with limited brand loyalty. We identify a unique symmetric mixed-strategy price equilibrium and find that competition is most relaxed when there exists some switchers.     

A test of monopoly price dispersion under demand uncertainty

A test of the predictions of Dana’s (2001) model of monopoly price dispersion under demand uncertainty using ticket price data from Major League Baseball shows that ticket price dispersion changes systematically with demand uncertainty, verifying the predictions of the model.     

Product line pricing in a vertically differentiated oligopoly

Abstract This paper examines the joint pricing decision of products in a firm’s product line. When products are distinguished by a vertical characteristic, those with higher values of that characteristic will command higher prices. We investigate whether, holding the value of the characteristic constant, there is an additional price premium for products on the industry and/or the firm frontier, that is, for the products with the highest value of the characteristic in the market or in a firm’s product line. We also investigate the existence of price premia for lower‐ranked products and other product line pricing questions. Using personal computer price data, we show that prices decline with the distance from the industry and firm frontiers, even after holding absolute quality constant. We find evidence that consumer tastes for brands is stronger for the consumers of frontier products (and thus competition between firms weaker in the top end of the market). There is also evidence that a product’s price is higher if a firm offers products with the immediately faster and immediately slower computer chip (holding the total number of a firm’s offerings constant), possibly as an attempt to reduce cannibalization. Finally, a product’s price declines with the time it is offered by a firm, suggesting intertemporal price discrimination.     

A note on dynamic monopoly pricing under consumption externalities

We analyze dynamic monopoly pricing under consumption externalities, focusing on pricing under negative externalities. We also attempt to generalize models in the previous literature, which encompass both negative and positive externalities, by incorporating a consumer’s discount factor for past sales as a parameter. Analyzing our model reveals oscillation as the optimal price path in the presence of negative externalities.     

Entry restrictions and the determination of quality

Entry restrictions are a common form of regulation in markets and occupations, either as a means of limiting the size of a market or affecting the quality of products or services provided by it. This paper analyzes demand, cost and informational characteristics that affect the impact of this type of policies on the quality mix of products provided by an industry and the welfare of its consumers. Selective increases in the costs of entry such as licensing requirements and direct restrictions with competitive bidding for entry rights are considered. We analyze the effects of these policies on entry decisions and also the additional selection effects that are obtained when exit is allowed for and the rights to participate in an industry can be freely traded.     

Penalties and the deterrence of unlawful collusion

This paper investigates the size of penalties required to deter cartel formation. Allowing the penalty to be increasing in duration within the infinitely repeated game framework, penalties do not need to be as severe as previous research would suggest.     

Insurance monopoly and renegotiation

Summary The mechanism design problem of a monopoly insurer — faced with privately informed insurees — is considered. It is assumed that the insurer cannot commit not to renegotiate (by using the information that customer separation reveals) before contracts are put into force. A solution is offered by modeling renegotiation-proofness in a framework inspired by Greenberg's theory of social situations. Maximizing profit within the set of renegotiation-proof outcomes always leads to a semi-separating outcome (i.e. neither full pooling nor full separation can occur) and may leave all low-risks as well as some of the high-risks self-insured.This work originated with Asheim and Nilssen (1991). The authors thank Paul Beaudry, Mathias Dewatripont, John Hillas, Terje Lensberg, Georg Nöldeke, Trond Olsen, Michel Poitevin, Eric van Damme, and especially Joseph Greenberg, as well as participants at seminars in Bergen, Cambridge, Florence, Helsinki, London, Mons, Montreal, Oslo, Stony Brook, and Tilburg for helpful comments and discussions. Asheim thanks Tilburg (CentER), McGill and Humboldt Universities for their hospitality and acknowledges support from the Norwegian Research Centre in Organization and Management and the Norwegian Research Council. Nilssen acknowledges support from Norges Bank and the Norwegian Research Council for Science and the Humanities.     

Entry, exit, and imperfect competition in the long run

An infinite-horizon, stochastic model of entry and exit with sunk costs and imperfect competition is constructed. A subgame perfect Nash equilibrium for the general dynamic stochastic game is shown to exist as a limit of finite-horizon equilibria. This equilibrium has a relatively simple structure characterized by two numbers per finite history. Under very general conditions, it tends to exhibit excessive entry and insufficient exit relative to a social optimum.     

Selection effects in auctions for monopoly rights

We demonstrate that auctioning market licenses may result in higher market prices than assigning them via more random allocation mechanisms. When future market profit is uncertain, winning an auction is like winning a lottery ticket. If firms differ in risk attitudes, auctions select the least risk-averse firm, which, in turn, set a higher price (or a higher quantity, in case quantity is the decision variable) in the marketplace than an average firm.     

Complementarity between product and process innovation in a monopoly setting

In this article we study complementarity between market-enhancing product innovation and cost-reducing process innovation in a monopoly setting. First, we consider the possibility for a firm to alternatively invest only along one of the two directions and compare the incentives of process vs. product innovation. Then, we allow the firm to invest simultaneously in both activities, showing that both investment levels and profit are higher than in the case of individual investment. Thus, product and process innovations are complementary, and the firm always prefers the simultaneous adoption of both activities.     

Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly

The seller of N distinct objects is uncertain about the buyer's valuation for those objects. The seller's problem, to maximize expected revenue, consists of maximizing a linear functional over a convex set of mechanisms. A solution to the seller's problem can always be found in an extreme point of the feasible set. We identify the relevant extreme points and faces of the feasible set. We provide a simple algebraic procedure to determine whether a mechanism is an extreme point. We characterize the mechanisms that maximize revenue for some well-behaved distribution of buyer's valuations.     

Quality differentiation and product innovation licensing

Evidence reveals that there are more than 50% product innovation licensings applied within industries. We study product innovation licensing (quality-enhancing licensing) in both exclusive and non-exclusive schemes each under unit/revenue royalty and fixed fee in a vertically differentiated Cournot oligopoly, where a quality-leading firm is an internal licensor. We show that, under a non-exclusive licensing, royalty licensing is the superior policy for the licensor if quality difference within firms is small, regardless of whether a unit or revenue royalty scheme is offered. Under an exclusive licensing, a two-part tariff is optimal. If fixed fee licensing is practicable, the licensor favors an exclusive licensing. Furthermore, an increase in quality difference within firms increases the optimal rates. Using the simulated results, we examine that licensing improves social welfare in all schemes, and the number of licensees will influence the magnitude of welfare enhancement.     

Product quality,advertising intensity and market size

We develop a model of product differentiation in which firms strategically compete in product quality and advertising intensity. Products exhibit a combination of vertical and horizontal differentiation. A consumer’s utility has a stochastic relationship with quality, but they are more likely to prefer a higher quality good. Consumers face a trade-off between higher quality goods and price. Increased competition leads to less advertising, but may result in higher or lower quality products offered in the market.     

Global terrorism: deterrence versus pre-emption

Abstract .  This paper analyses two anti-terrorism policies when a targeted nation's people and property are in jeopardy at home and abroad. A country's deterrence decision involves both external benefits and costs as the terrorist threat is deflected, while its preemption decision typically gives external benefits when the threat is reduced for all potential targets. With damages limited to home interests, a country will overdeter, while, for globalized terror, a country will underdeter. Pre-emption is usually undersupplied. Leader-follower behaviour is apt to lessen inefficiency for deterrence, but worsen inefficiency for pre-emption, compared with simultaneous-choice equilibrium allocations. Targeted nations can never achieve the proper counterterrorism policy through leadership.     

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.     

Robust monopoly pricing

We consider a robust version of the classic problem of optimal monopoly pricing with incomplete information. In the robust version, the seller faces model uncertainty and only knows that the true demand distribution is in the neighborhood of a given model distribution. We characterize the pricing policies under two distinct decision criteria with multiple priors: (i) maximin utility and (ii) minimax regret. The equilibrium price under either criterion is lower then in the absence of uncertainty. The concern for robustness leads the seller to concede a larger information rent to all buyers with values below the optimal price without uncertainty.     

Selling licences for a process innovation: the impact of the product market on the selling mechanism

Abstract.  This article considers the sale by a research lab of licences for a cost-reducing innovation. The marginal cost of a firm that wins a licence is private information and the acquisition of a licence imposes a negative externality on the other firms. The lab's optimal revenue is determined from a class of mechanisms in which the lab selects the number of licences and the reserve price before the sale. The role of the downstream product market in the determination of the number of licences is analyzed. Furthermore, it is also shown that the optimal reserve price may be zero.     

A comparison between the core and the monopoly solutions in a mixed exchange economy

Summary. Using a mixed market model for analyzing imperfectly competitive economies, we maximize the oligopolists' Welfare Function, given individual rationality and feasibility constraints. We prove that solutions belong to the core for a large class of economies. This class includes, in particular, every monopoly having a single type of small traders. Note that all such solutions yield the large trader, utility-wise, strictly more than at any monopoly solution, where the monopolist plays strategically, and the ocean of small traders act as being as price-takers. Received: March 4, 1996; revised version July 7, 1996     

Cournot Competition and Hit-and-Run Entry and Exit in a Teaching Experiment

Instructors can use a computerized experiment to introduce students to imperfect competition in courses on introductory economics, industrial organization, game theory, and strategy and management. In addition to introducing students to strategic thinking in general, the experiment serves to demonstrate that profits of a firm fall as the number of competitors is increased in a market and that firms enter profitable markets. The authors have used the experiment in undergraduate classes on strategy and management as well as in master of business administration courses with great success.     

Entry and growth in a perfectly competitive vintage model

A perfectly competitive vintage-knowledge model of Schumpeterian growth is introduced to study the relation between growth, technology-lifetime, entry, and productivity-dispersion. The incentive to innovate is generated by the productivity-dispersion (latent in traditional vintage models) between new and old plants, rather than by monopoly rents. The model has a unique steady-state REE with endogenous growth. The endogenous extent of entry constitutes a buffer, dampening the effect of research-efficiency and completely neutralizing the effect of population size or population growth rates on per-capita income levels and growth rates. Variations of research-efficiency lead to a negative relation between growth and vintage-lifetime and a non-monotonic relation between growth and productivity-dispersion.