A hybrid equilibrium in segmented markets: the three-firm case

In this paper, we characterize two hybrid equilibria for the three-firm case in segmented markets in which consumers not only value the product itself but also the environment within which the consumption takes place. In equilibrium, the firm with the larger population of loyal consumers chooses the monopoly price while the remaining two firms play a mixed strategy. In the duopoly case, the unique equilibrium is in mixed strategies and no firm focuses only on its loyal consumers.     

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.     

Profit sharing as entry deterrence mechanism

In a right-to-manage framework, this paper analyzes the optimal choice of the pay scheme (profit sharing vs. fixed wage) in a unionized duopoly with potential market entry and decentralized bargaining. The paper shows that, depending on the institutional features, both pay systems can arise as equilibria in Nash strategies. Under duopoly with committed bargaining, the fixed wage is the Nash equilibrium; with flexible bargaining, an agreement between the incumbent firm and its union about profit sharing arises as Nash equilibrium, if the union is not too strong. A monopoly with threat of entry reinforces the selection of profit sharing as a deterrent mechanism.     

Foreign market entry,upstream market power,and endogenous mode of downstream competition

In a differentiated duopoly model of trade and FDI featuring both horizontal and vertical product differentiation, we examine whether globalization and trade policy measures can generate welfare gains by leading firms to change their mode of competition. We show that when a high-quality foreign variety is manufactured under large frictions due to upstream monopoly power, a foreign firm can become a Bertrand competitor against a Cournot local rival in equilibrium, especially when the relative product quality of the foreign variety is sufficiently high and trade costs are sufficiently low (implying higher input price distortions due to double marginalization). Our results suggest that such strategic asymmetry is welfare improving and that the availability of FDI as an alternative to trade can make welfare-enhancing strategic asymmetry even more likely, especially when both input trade costs and fixed investment costs are sufficiently low and trade costs in final goods are sufficiently large.     

The Delaying Effect of Financing Constraints on Investment

We develop a simple model in which a firm considers a number of investment projects. Because of limited financial resources, the firm can undertake at most one project. In line with the literature on real options we stress features like irreversibility, uncertainty and the possibility of postponing the investment decision and show under which conditions limited availability of funds tends to increase the value of waiting.     

Evaluation of investment subsidies: when is deadweight zero?

In the evaluation of investment subsidies one of the critical issues concerns the assessment of deadweight, that is, the degree to which projects would have been carried out without grant assistance. With the increasing restrictions on and cuts in subsidies for investment projects in the EU countries maximisation of the impact of the public resources that remain can be achieved through their allocation for projects with minimum deadweight. This paper studies the profile of subsidised zero deadweight investment projects – projects that would be abandoned without public subsidies – in Finland. The empirical analysis is conducted using micro level data on investment projects by private sector firms. The data set comprises 3,423 projects that were granted public investment subsidies between 2001 and 2003. Our results show that the likelihood of zero deadweight is significantly dependent on the characteristics of the subsidised firm, the characteristics of the investment project and the location of the subsidised firm.     

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.     

Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly

This paper considers a differentiated goods managerial mixed duopoly composed of one social welfare‐maximising public firm and one profit‐maximising private firm. We model the firm choice of the strategic contract. We find that when the strength of network effects is sufficiently strong, the price competition can become the unique equilibrium market structure. Furthermore, we show that there exists an area of the degree of product differentiation and the strength of network effects such that the situation wherein the public firm chooses its price contract whereas the private firm chooses its quantity contract can become the unique equilibrium structure.     

Incentives and managerial effort under competitive pressure: An experiment

We investigate how increased competition affects firm owners׳ incentives and managers׳ efforts in a laboratory experiment. Each owner offers a compensation scheme to his manager in two different conditions: under monopoly and under Cournot duopoly. Following acceptance of the compensation, the manager chooses an effort level to increase the probability of a cost-reduction which affects the firm׳s profit. According to standard theoretical predictions the entry of a rival firm in a monopolistic industry affects negatively both the incentive compensation and the effort level. Our experimental findings show that the entry of a rival firm has two effects on managerial effort: an internalization effect which affects positively the level of effort and an income effect which has a negative impact on effort. The combined outcome of these two effects is neutral with respect to managerial effort: we observe that when competition reduces the firm׳s profit, the owner reacts by offering lower incentives but despite the lower incentives the manager still accepts the contract offer and exerts the same level of effort than under the monopoly condition.     

HORIZONTAL MERGERS: A SOLUTION OF THE INSIDERS' DILEMMA

We show that in a three‐firm infinitely repeated Cournot game, there exists a stick and carrot strategy equilibrium in which an exogenous bilateral horizontal merger is profitable and the incentive to remain out of the merger disappears. In this sub‐game perfect equilibrium, the merged entity produces the duopoly quantity and the outsider limits its production to half the duopoly quantity. Our stick and carrot strategy entails that the merged entity threatens to produce twice the triopoly quantity for two periods if the outsider does not produce half the duopoly quantity. In this equilibrium, the aggregate price remains high enough to make the merger profitable for the insiders. Also, the quantity produced by the outsider is sufficiently low to eliminate the difference between the profit of the outsider and the merging firm.     

The impacts of suppliers and mutual outsourcing on organizational forms

We consider a downstream duopoly model with a monopolistic common supplier and mutual outsourcing between the two symmetric downstream firms. The market structure captures the recent procurement environment in the smartphone industry. We also incorporate managerial delegation into the duopoly model because deciding on organizational forms within a firm is critical to achieving better performance in almost all industries. There is an equilibrium in which only one of the firms delegates its downstream production to its sales manager. A delegating firm becomes less aggressive. The profits when both firms delegate can be higher than those when no firm delegates. Social welfare when both firms delegate can be smaller than that when no firm delegates.     

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.     

Media Plurality: Private versus Mixed Duopolies

In this paper, we analyze the level of media plurality in a market with two private news firms (private duopoly) and in a market with a private news firm and a public news firm (mixed duopoly). In the private duopoly news firms maximize profits. In the mixed duopoly, the private news firm maximizes profits, while the public news firm maximizes social welfare. We show that, in spite of the public news firm maximizing social welfare, neither media plurality nor social welfare needs to be higher under the mixed duopoly compared with the private duopoly. This will depend on the relation between the costs of adapting news to readers' political preferences, the intensity of the readers' political preferences, and the size of the advertising market.     

Environmental Regulation: An Incentive for Foreign Direct Investment

Empirical evidence has so far failed to confirm that lenient environmental regulation attracts investment from polluting firms. In a Cournot duopoly with a foreign firm and a domestic firm, we show that the foreign firm may want to relocate to the domestic country with stricter environmental regulation, when the move raises its rival domestic firm's cost by sufficiently more than its own. The domestic (foreign) country's welfare is (usually) lower with foreign direct investment.     

The effects of irreversibility on the timing and intensity of lumpy investment

This paper examines how changes in irreversibility of investment affect the timing and intensity of lumpy investment. We develop a continuous-time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring a partially reversible investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the instant when the investment option is exercised. We show that higher irreversibility of investment induces the firm to raise its optimal investment trigger, thereby deferring the undertaking of the project. Furthermore, we show that changes in irreversibility of investment have no impact on the firm's optimal investment intensity due to two opposing effects that exactly offset each other. Finally, we show that higher irreversibility of investment reduces the value of the investment option and, therefore, makes the firm less valuable.     

A Two-stage Price-setting Equilibrium Designed in Consideration of Goods Relevance and Strategic Relevance

This paper analyses the subgame perfect Nash equilibrium of a two-stage price-setting duopoly. The demand functions are classified into four cases in terms of the goods' relevance and strategic relevance between two firms. All four cases are correlated with two opposite prior commitments that generate kinks in the reaction curve. This paper assumes that only one firm can execute the prior commitments. In the model, we find that the firm can increase its payoff with one of the prior commitments in each of the four cases. We also find that our equilibrium outcomes are different from those of Matsumura (1998) in this Journal, and that they occur at the Stackelberg point in all four cases if, and only if, the firm's reaction curves shift to the Stackelberg point as a result of the prior commitments. As a consequence, the effectiveness of strategic commitments is proved.     

Democracy and competition: Vertical differentiation and labor in a general equilibrium model

We consider a general equilibrium model with vertical preferences and one or two firms, where workers and consumers are differentiated, respectively, by their sensitivity to effort and their preference for quality. The question in this paper is whether a decentralized choice through majority vote would lead to more or less competition. We compare the duopoly and the monopoly cases from the viewpoint of each individual, then we deduce the choice of the majority. We prove that, under concentrated ownership (where owners have a null density), duopoly is always preferred by the majority; while under egalitarian ownership (where firms are equally shared by all the population), the choice of the majority depends on the relative size of workers' and consumers' segments.     

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.     

Output commitment through product bundling: Experimental evidence

We analyze the impact of product bundling in experimental markets. One firm has monopoly power in a first market but competes with another firm à la Cournot in a second market. We compare treatments where the multi-product firm (i) always bundles, (ii) never bundles, and (iii) chooses whether to bundle or not. We also contrast the simultaneous and the sequential order of moves in the duopoly market. Our data indicate support for the theory of product bundling: with bundling and simultaneous moves, the multi-product firm offers the predicted number of units. When the multi-product firm is the Stackelberg leader, the predicted equilibrium is better attained with bundling, especially when it chooses to bundle, even though in theory bundling should not make a difference here. In sum, bundling works as a commitment device that enables the transfer of market power from one market to another.     

Location of public and private firms under endogenous timing of choices

This paper studies the choices of locations in a mixed duopoly when production costs are endogenously determined and the public firm maximizes a weighted sum of social surplus and its profits. We find that the locations of the two firms are decided simultaneously when the weight of the public firm’s profits in its objective function is high enough. When this is not the case we find that one firm (not always the public firm but sometimes also the private one) behaves as a leader in the choice of location and location decisions are made sequentially. Moreover, in equilibrium, the production cost of the public firm is never higher than that of the private firm.