Price competition and innovation in markets with brand loyalty

Intuition suggests that in markets with consumer lock-in (‘brand loyalty’), firms with a large customer base earn higher profits. We show for a homogeneous goods duopoly that the intuition can be misleading, as the intensity of price competition depends on the initial market split. We derive mixed-strategy equilibria, and show that competition is often most intense when the market is split evenly. As a result, firms coordinate on an asymmetric split when consumers are not yet attached to firms. We also allow for asymmetric costs, and analyze when firms with a larger customer base are more eager to innovate.     

Strategic Product Line Choice under Asymmetric Demand Structure

We examine strategic product line choices of manufacturers in a stylised duopoly model where products have asymmetric and interdependent market conditions. We characterise the optimal product line decisions and show that manufacturers always prefer to have head‐to‐head competition (and never segment markets) when product line setup cost is small relative to profitability of the products. When setup costs are high, symmetric manufacturers may prefer to have asymmetric product lines or market segmentation. We show that high setup costs lead to the market segmentation outcome only if there is no significant market size difference and the level of product substitutability is moderate.     

Product market competition with differentiated goods and social welfare in the presence of an industry-wide union

Mainstream locus communis indicates that a more competitive product market leads to higher social welfare levels. Using a Conjectural Variation (CV) model, this research note analyzes the effects on welfare of different degrees of product market competition in a duopoly with differentiated goods. Bargaining between the firms and the industry-wide union occurs under the Efficient Bargaining (EB) model. The work indicates that, with close substitute goods, social welfare is maximized for the intermediate levels of market competition, whereas more independent goods lead to the standard result of a high welfare level under competitive markets.     

The effects of information on strategic investment and welfare

Summary. The paper analyses the influence of uncertainty and competition on the strategic considerations of a firm’s investment decision, where the firm receives imperfect signals about the profitability of an investment project. We find a preemptive or an attrition equilibrium depending on a trade-off between first and second mover advantages. We show that welfare can be negatively affected by decreasing uncertainty, i.e. more and/or better information. Furthermore, simulations indicate that duopoly leads to higher welfare than monopoly if there are few and relatively non-informative signals, whereas the opposite holds if there are many and relatively informative signals.Received: 13 May 2004, Revised: 22 March 2005, JEL Classification Numbers: C61, D43, D81.Jacco J. J. Thijssen: Correspondence toDolf Talman is acknowledged for many inspiring discussions and meticulous proof-reading. Jan Boone, Thomas Sparla, participants in the workshop on “Recent Topics in Real Options Valuation”, July 2002, Krems, Austria, and an anonymous referee are thanked for helpful comments. The usual disclaimer applies.     

Dynamic duopoly with learning through market experimentation

Summary This paper analyzes how learning behaviors can substantially modify the outcome of competition in an oligopolistic industry facing demand uncertainty. We consider the case of a symmetric duopoly game where firms have imperfect information about market demand and learn through observing the volume of their sales. The main body of the paper consists in showing how market experimentation can explain the existence ofprice-dispersion in an oligopolistic industry. We study this phenomenon and its dynamic evolution in the context of an Hotelling duopoly model; we then extend the analysis to general demand functions and toN-firm oligopolies. We discuss some implications of the public good aspect of information about market demand. We then conclude with a few comments on what happens when the value of information in the oligopolistic industry is negative.We are very grateful to Patrick Bolton for his helpful advice. We also wish to thank Richard Caves, Anthony Creane, Jean-Jacques Laffont, Andreu Mas-Colell, Eric Maskin, Jean-Charles Rochet, Margaret Slade, John Sutton, Jean Tirole, Mike Whinston and an anonymous referee.     

STRATEGIC EXPORT POLICY IN VERTICALLY RELATED MARKETS

This paper analyses how strategic export policies are affected by introducing an imperfectly competitive intermediate good into a Bertrand duopoly model with product differentiation, where a home and a foreign final‐good firm export to a third‐country market. It is shown that when the home and foreign markets for the intermediate good are segmented, the optimal export policy towards the final good is a tax. In contrast, under integrated markets, the optimal export intervention is a subsidy. Whether bilateral export intervention is welfare improving compared with free trade, depends on the degree of product differentiation between the home and foreign final goods.     

Is a Unique Cournot Equilibrium Locally Stable?

We consider a homogeneous product oligopoly, where the Cournot equilibrium is regular and unique. We show that for a duopoly, a unique Cournot equilibrium is always locally stable. For a “n” firm asymmetric cost oligopoly a unique Cournot equilibrium is locally stable under very general conditions. The sufficient conditions for local stability of a unique Cournot equilibrium are much less restrictive than what the existing literature suggests. For a symmetric cost oligopoly the unique Cournot equilibrium is almost always locally stable, except for a perverse case. Journal of Economic Literature Classification number: L13.     

NONLINEAR PRICING IN ASYMMETRIC DUOPOLY

We characterise, for both separate and interdependent markets, the local pure-strategies Nash equilibrium of a spatial duopoly game, where consumers are horizontally and vertically heterogeneous, and firms have different cost structures and ranges of product lines. We show that standard results which emerged in the monopoly context can not be generalised to strategic contexts where firms retain market power and there is sufficient competitive pressure. We prove that in the asymmetric duopoly case, when markets are interdependent, the incentive compatibility constraints are slack, and there is no quality distortion.     

Dissertation abstract: Essays on pricing in experimental duopoly markets

This dissertation comprises three independent essays that analyze pricing behavior in experimental duopoly markets. The first essay examines whether the content of buyer information and the timing of its dissemination affects seller market power. We construct laboratory markets with differentiated goods and costly buyer search in which sellers simultaneously post prices. The experiment varies the information on price or product characteristics that buyers learn under different timing assumptions (pre- and post-search), generating four information treatments. Theory predicts that price information lowers the equilibrium price, but information about product characteristics increases the equilibrium price. That is, contrary to simple intuition, presence of informed buyers may impart a negative externality on other uninformed buyers. The data support the model's negative externality result when sellers face a large number of robot buyers that are programmed to search optimally. Observed prices conform to the model's comparative statics and are broadly consistent with predicted levels. With human buyers, however, excessive search instigates increased price competition and sellers post prices that are significantly lower than predicted. The second essay uses experimental methods to demonstrate the anti-competitive potential of price-matching guarantees in both symmetric and asymmetric cost duopolies. When costs are symmetric, price-matching guarantees increase the posted prices to the collusive level. With asymmetric costs, guaranteed prices remain high relative to prices without the use of guarantees, but the overall ability of guarantees to act as a collusion facilitating device depends on the relative cost difference. Fewer guarantees, combined with lower average prices, suggest that cost asymmetries may discourage collusion. The third essay investigates the effect of firm size asymmetry on the emergence of price leadership in a homogeneous good duopoly. With discounting, the unique subgame-perfect equilibrium predicts that the large firm will emerge as the endogenous price leader. Independent of the level of size asymmetry, the laboratory data indicates that price leadership by the large firm is one of the most frequently observed timings of price announcement. In most cases, however, it comes second to simultaneous price-setting. This tendency to wait for the other firm to announce its price is especially strong when the level of size asymmetry between firms is low. We attribute the lower than expected frequency of price leadership to coordination failure, which is further compounded by elements of inequity aversion. JEL Classification C91, D43, D83, L11 Dissertation Committee: Timothy Cason (Chair), Department of Economics, Purdue University Dan Kovenock, Department of Economics, Purdue University Stephen Martin, Department of Economics, Purdue University Marco Casari, Department of Economics, Purdue University     

Trading networks with price-setting agents

In a wide range of markets, individual buyers and sellers trade through intermediaries, who determine prices via strategic considerations. Typically, not all buyers and sellers have access to the same intermediaries, and they trade at correspondingly different prices that reflect their relative amounts of power in the market. We model this phenomenon using a game in which buyers, sellers, and traders engage in trade on a graph that represents the access each buyer and seller has to the traders. We show that the resulting game always has a subgame perfect Nash equilibrium, and that all equilibria lead to an efficient allocation of goods. Finally, we analyze trader profits in terms of the graph structure — roughly, a trader can command a positive profit if and only if it has an “essential” connection in the network, thus providing a graph-theoretic basis for quantifying the amount of competition among traders.     

Dynamic efficiency of Cournot and Bertrand competition: input versus output spillovers

We consider the efficiency of Cournot and Bertrand equilibria in a duopoly with substitutable goods where firms invest in process R&D that generates input spillovers. Under Cournot competition firms always invest more in R&D than under Bertrand competition. More importantly, Cournot competition yields lower prices than Bertrand competition when the R&D production process is efficient, when spillovers are substantial, and when goods are not too differentiated. The range of cases for which total surplus under Cournot competition exceeds that under Bertrand competition is even larger as competition over quantities always yields the largest producers’ surplus.     

Strategic competition and optimal parallel import policy

Abstract In a two‐country Hotelling type duopoly model of price competition, we show that parallel import (PI) policy can act as an instrument of strategic trade policy. The home firm’s profit is higher when it cannot price discriminate internationally if and only if the foreign market is sufficiently bigger than the domestic one. The key mechanism in the model is that the home firm’s incentive to keep its domestic price close to the optimal monopoly price affects its behavior during price competition abroad. We also analyze the welfare implications of PI policies and show that our key insights extend to quantity competition.     

Endogenous Timing in a Mixed Duopoly: Price Competition

The endogenous order of moves is analyzed in a mixed duopoly for differentiated goods, where firms choose whether to set prices sequentially or simultaneously. It is shown that, in contrast to the private duopoly where firms set prices sequentially, in the mixed duopoly firms choose prices simultaneously. Moreover, the result obtained in the mixed duopoly under price competition differs from the one under quantity competition, since in the latter case decisions are taken sequentially.      

Free trade versus strategic trade as a choice between two ‘second best’ policies: A symmetric versus asymmetric information analysis

Abstract

We analyse the following policy dilemma: strategic trade policy versus free trade when the domestic government is bound to intervene only after the domestic firm's strategic variable in the form of R&D investment is chosen, and when the information can be either symmetric or asymmetric. The novel feature of our model is that the information asymmetry stems from the assumption that the government may not a priori know the true mode of competition. The intervention in the above set-up allows the domestic firm to manipulate the domestic government and results in a socially inefficient choice of the strategic variable. However, commitment to free trade leads to forgoing the benefits from profit-shifting. Yet, from the social point of view, free trade may be optimal even under the assumption of symmetric information. Due to costly signalling, this result is reinforced in the case of asymmetric information.     

Exchange Agreements Facilitate Collusion

A duopoly model with quantity competition is analyzed in which firms collude in two markets. There is specialization in production in order to promote efficiency. Firms may then either exclusively market one good each, or they may agree to exchange goods and cross-supply a part of the production to the other firm. It is shown that, compared to specialization in marketing, positive exchanges of goods relax the incentive constraints that limit the extent of collusion.     

A generalized framework for endogenous timing in duopoly games and an application to price-quantity competition

This paper extends the analysis of duopoly market by distinguishing two types of competition: (i) the basic form of competition where each firm is unrestricted in its choice of price and quantity and (ii) the non-basic form of competition where firms’ strategic choices over price and quantity are limited a priori. Our analysis focuses on the former rather than the latter. Under a very general setting of concave industrial revenue and asymmetric convex costs, we show that each firm typically makes more profit in the subgame perfect Nash equilibrium (SPNE) of the leader-follower price-quantity competition, one of the basic competition forms, than in the SPNE of the leader-follower price competition and that each firm always makes more profit under simultaneous move price-quantity competition than under simultaneous move price competition. We establish a generalized framework for endogenous timing in duopoly games which is capable of embodying and overcoming the inconsistency across the existing three frameworks in the field. We highlight the advantages of a 3-period general framework.     

Stackelberg Beats Cournot — On Collusion and Efficiency in Experimental Markets

We report on an experiment designed to compare Stackelberg and Cournot duopoly markets with quantity competition. We implement both a random matching and a fixed-pairs version for each market. Stackelberg markets yield, regardless of the matching scheme, higher outputs than Cournot markets and, thus, higher efficiency. For Cournot markets, we replicate a pattern known from previous experiments. There is stable equilibrium play under random matching and partial collusion under fixed pairs. We also find, for Stackelberg markets, that competition becomes less intense when firms remain in pairs but we find considerable deviations from the subgame perfect equilibrium prediction which can be attributed to an aversion to disadvantageous inequality.     

Credit quality, the intensity of regulation and the segmentation of debt markets

Some debt markets have a “competitive advantage” over others due to easier regulatory requirements. Our model explains changes in the market shares of different debt markets. In particular, borrowers may choose between highly regulated and relatively unregulated placement of debt so as to minimize borrowing costs. Borrowers in the highly regulated market incur higher regulatory cost, but are also able to signal accurately their true risk class. In unregulated markets there is an asymmetric information problem. This results in an equilibrium where the debt market is segmented between less regulated and other, more strictly regulated, placements. Raising regulatory costs will lead to an expansion of the market share of unregulated debt. It will also lead to an increase in the overall default rate on corporate debt.     

THE BENEFIT OF REDUCED COMPETITION AND THE COST OF INFORMATION RENT UNDER OUTSOURCING

We analyse the cost and benefit of outsourcing with adverse selection in a duopoly by comparing outsourcing with in‐house production in terms of the manufacturer’s expected profit. When two manufacturers faced with ex ante cost uncertainty compete in a differentiated duopoly, outsourcing brings about a benefit in terms of reduced competition, while it entails the cost of information rent. We show that the manufacturers always choose in‐house production in Cournot and Bertrand competition, when outsourcing and in‐house production follow the same ex ante cost distribution. When the manufacturers compete in Cournot fashion, the cost of information rent always exceeds the benefit of reduced competition under outsourcing. On the other hand, when they compete in Bertrand fashion, it is possible that even if the benefit of outsourcing exceeds the cost, both manufacturers cannot choose outsourcing.