Mixed ownership in a mixed duopoly with differentiated products

We determine optimal privatization in a symmetric differentiated duopoly when the public firms do not bear the full cost of production and hence their objective functions differ from the government’s objective function. In the social optimum firms will generally have mixed ownership, and it will depend on the type of uncovered cost, the degree of substitutability of the two products and the output decision rule of the partially public firms. Different types of mixed duopoly emerge, ranging from both firms being partially privatized, to one being fully privatized. We also derive an optimal tax-subsidy scheme as a substitute for privatization.      

Market share dynamics in a duopoly model with word-of-mouth communication

We analyze dynamic price competition in a homogeneous goods duopoly, where consumers exchange information via word-of-mouth communication. A fraction of consumers, who do not learn any new information, remain locked-in at their previous supplier in each period. We analyze Markov perfect equilibria in which firms use mixed pricing strategies. Market share dynamics are driven by the endogenous price dispersion. Depending on the parameters, we obtain different ‘classes’ of dynamics. When firms are impatient, there is a tendency towards equal market shares. When firms are patient, there are extended intervals of market dominance, interrupted by sudden changes in the leadership position.     

Employee ownership and internal governance

This paper is designed to counter Oliver Williamson's hypothetical ‘Peer Group’ model of organization with a discussion of three prosperous populations of employee-owned firms: worked-owned scavenger companies, taxi cooperatives, and professional partnerships such as the large law firm. It will be shown here that these firms are formed, endure and prevail over their competition for reasons that Williamson, more than anyone else, has taught us to appreciate. In particular, this paper will argue that the metering problems and human asset considerations that are so prominently featured in Williamson's work are crucial for understanding the success of these firms.     

Endogenous timing game in a mixed duopoly with partial foreign ownership and asymmetric increasing marginal costs

This study examines a timing game in a mixed duopoly wherein public and private firms compete by taking account of the increasing marginal cost of both firms, as well as partial foreign ownership of the private firm. This study finds that if the private firm has a strong cost advantage over the public firm, public leadership is a risk dominant equilibrium irrespective of foreign ownership ratio. This result means that the cost difference between the public and private firms matters in selecting the risk-dominant equilibrium of the timing game. Additionally, if the private firm has only a weak cost advantage over the public firm, then private leadership (public leadership) is the risk dominant equilibrium if the foreign ownership ratio is (not) small.     

Profit-sharing in a unionized cournot duopoly

The main purpose of this paper is to analyze when it is optimal for firms in a unionized duopoly to introduce profit-sharing. It is shown that a firm only prefers a profit-sharing system if its own union does not have “too much” bargaining power, and if the union in the other firm does not have “too much” bargaining power. However, if a firm introduces profit-sharing, the employment increases, and the price in the goods market decreases. Hence, even if it is not in the own interest of a firm to introduce profit-sharing, it may be in the interest of the society.     

Open Innovation in a dynamic Cournot duopoly

In recent years Open Innovation (OI) processes have been receiving growing attention from the empirical and theoretical economic literature, where a debate is taking place on the aspects of complementarity or substitutability between internal R&D and OI spillover. By means of a differential game approach, we analyze the case of substitutability in an OI setup in a Cournot duopoly where knowledge spillovers are endogenously determined via the R&D process. The game produces multiple steady states, allowing for an asymmetric solution where a firm may trade off the R&D investment against information absorption from the rival. The technical analysis and the numerical simulations point out that the firm which commits to a higher level of OI absorption produces a smaller output and enjoys higher profits than its rival.     

Optimal pollution taxation in a Cournot duopoly

It is well known that the optimal pollution tax in a competitive industry is equal to the marginal damage inflicted by the pollution. It has also been shown that the optimal pollution tax on a monopoly is less than the marginal damage. In this paper, I derive the optimal pollution tax for a Cournot duopoly. If firms have different production costs, the optimal tax rate may exceed the marginal damage. This is so because the tax may be an effective instrument for allocating production from the less to the more efficient firm. It is also shown that, if one firm has a positive most preferred pollution tax, the sum of consumer and producer surpluses will be declining in the tax at this level.     

Unilateral production restrictions in a dynamic duopoly

This paper examines a dynamic game of exploitation of a productive asset by a duopoly. A closed-loop Nash equilibrium of the game is constructed and used to analyze the effects of a unilateral production restriction. Surprisingly, such unilateral action may result in a decrease of the long-run asset's stock. We also exhibit production restrictions that can result simultaneously in an increase of the asset's stock and the long-run profits of the firm that is being imposed the production restriction. Moreover, a unilateral decrease of the production of one firm can induce its rival to also decrease its production.     

Sick pay reforms and health status in a unionised labour market

We theoretically analyse the effects of sick pay and employees' health on collective bargaining, assuming that individuals determine absence optimally. If sick pay is set by the government and not paid for by firms, it induces the trade union to lower wages. This mitigates the positive impact on absence. Moreover, a union may oppose higher sick pay if it reduces labour supply sufficiently. Better employee health tends to foster wage demands. If the union determines both wages and sick pay, we identify situations in which it will substitute wages for sick pay because adverse absence effects can be mitigated.     

Trade liberalization in a differentiated duopoly reconsidered

Constructing a model of differentiated Cournot duopoly, we consider welfare effects of trade liberalization (i.e. reductions in transport costs). We examine both multilateral trade (i.e. the firms in both countries export bilaterally) and unilateral trade, under which foreign entry is possible but the home firm cannot export. Some new results on trade gains under differentiated oligopoly are proved and their implications are discussed.     

Regulating a duopoly by a Pretend-but-Perform Mechanism

In a linear duopoly, participants are required to declare their costs under a Pretend—but—Perform Mechanism (PPM) which enforces accordance of performance with pretended (declared) cost.Specifically, under the PPM, each firm's output in reaction to rival output is to maximize profit according to declared cost. Compared with the Cournot solution before PPM Regulation, Nash implementation of the PPM induces a Cournot solution, among the make—believe firms, giving greater industry output and efficiency along with increased consumer surplus even after compensating the duopolists for decreased profits, except in a trivial case which — educatively — thruthful declarations are confined.     

Feasibility of predatory pricing in a capacity-constrained duopoly

Predatory pricing is feasible only if the minimax profit of the prey is strictly smaller than the expected profit in the corresponding Bertrand-Nash equilibrium. We completely characterize the conditions for feasibility of predatory pricing in Kreps and Scheinkman's model of capacity-constrained duopoly. The predator must have a capacity larger than that of the prey, and also larger than the Cournot capacity. Surprisingly, predatory pricing may be infeasible not only if the prey is too large but also if it is too small.     

Price discrimination and price dispersion in a duopoly

This paper analyses the problem of price discrimination in a market where consumers have heterogeneous preferences both over a horizontal parameter (brand) and a vertical one (quality). Discriminatory contracts are characterized for different market structures. It is shown that price dispersion, i.e. the observed range of prices for each class of customers, increases almost everywhere as competition is introduced in the market.     

Licensing to a durable-good duopoly in patent litigation

Incorporating patent litigation into a durable-good duopoly model, we revisit the optimal licensing contract on a cost-reducing innovation. We find that both the optimal licensing contract and the innovator's licensing revenue are closely related to the patent's strength, i.e., the probability it would be found valid if tested in court. It is shown that, for a relatively weak patent (patent's strength is low), it's optimal for the innovator to charge the royalty rate as high as possible coupled with a negative fixed fee. But for a relatively strong patent (patent's strength is high), contract involving the combination of a medium level royalty rate and a positive fixed fee is optimal. We also discuss how the patent's strength affects the social welfare of a patent. Finally we present two policy suggestions that may alleviate the social welfare loss raised by the licensing of weak patents.     

Strategic managerial incentives in a two-period Cournot duopoly

This paper examines the nature of optimal managerial incentives in the context of a duopoly marked by competition between the firm's managers in a dynamic production environment. If the marginal cost of production falls moderately over time or remains unchanged, there exists an equilibrium where one owner requires her manager to maximize profit, whereas the rival-owner requires her manager to maximize sales revenue. The profit-maximizing manager turns his firm into a Stackelberg-leader, while the sales-revenue-maximizing manager turns his firm into a Stackelberg-follower. Further, the profit-maximizing manager may generate a larger firm profit relative to the sales-revenue-maximizing manager.     

Peak-load pricing in duopoly

In this paper, we consider peak-load pricing by duopolists that maximize profit (not social welfare). We compare price levels and profits across peak-load versus uniform pricing regimes. Our main result is that the introduction of peak-load pricing can plausibly reduce prices by making price competition more severe and thereby reducing profits. This result suggests that competing firms may engage in collusion by not committing to peak-load pricing. Therefore, from the regulator's perspective, it will be desirable to encourage firms to engage in peak-load pricing to intensify competition.     

Cost-based access regulation and collusion in a differentiated duopoly

This paper revisits the conventional doctrine that “it is easier to collude among equals”, applied in the context of vertically related markets. In a differentiated duopoly model, we study how cost-based access price regulation may hinder the sustainability of tacit collusion.