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.     

A Model of a Price-setting Duopoly with a Wage-rise Contract

This paper considers a wage-rise contract between a firm and its employees as the firm's strategy, and suggests a wage-rise-contract policy. The policy is a promise by the firm that it will announce a certain output level and a wage premium rate, and if it actually produces more than the announced output level, then it will pay each employee a wage premium uniformly. First, this paper examines the case in which one of two firms unilaterally offers the wage-rise-contract policy by using a two-stage price-setting duopoly model. It is then shown that there exists an equilibrium which coincides with the Stackelberg solution where the firm adopting the policy is the leader. Next, this paper examines the case in which both firms can offer the wage-rise-contract policy in the model. It is then shown that there exists an equilibrium which is more profitable for both firms than in the unilateral case.     

Strategic commitment and Cournot competition with labor-managed and profit-maximizing firms

This paper examines the behavior of a labor-managed income-per-member-maximizing firm and a profit-maximizing firm in a quantity-setting model with a strategic commitment. First, each firm independently decides whether or not to make a commitment to capacity. This capacity may subsequently be increased, but cannot be decreased. Hence, each firm’s investment choice changes its capital cost from a variable one into a fixed one. Second, each firm independently chooses its actual output. The paper examines the equilibrium of the quantity-setting mixed model and shows whether or not capacity investment is effective for the labor-managed firm and the profit-maximizing firm.     

Strategic incentive in mixed oligopoly

This paper develops a two stage game model with two competing firms in a mixed oligopolistic market, a public firm and a private firm, and only the public firm giving its manager an incentive contract. The paper presents three types of public firm owner’s objective function and each objective function corresponds to three types of delegation, either of a profit-revenue type, or of a relative performance, or, finally, of a market share one. In an equilibrium, the public firm owner has a dominant strategy to reward his manager with an incentive contract combining own profits and competitor’s profits. Different from Manasakis et al. (2007), this paper suggests that the dominant strategy of the public firm owner is to reward his manager with a profit-revenue type of contract or a market-share type of contract, that is to say profit-revenue is identical with market-share. Using relative-performance type of contract will move the manager away from the owner’s true objective function when the public firm owner only pursues maximizing the social welfare. The private firm will be crowded out and the public firm is the only producer of the market. Under profits-revenues type of contract, the owner’s objective of maximizing the summation of the profit and consumer surplus leads the manager more aggressive. Different combinations give us different results. By comparing the results, each type of incentive contract is an owner’s best response to his decision.     

Price or Quantity? A New Irrelevance Result for Mixed Markets

Earlier studies for mixed markets have established a series of so‐called irrelevance results. While previous results relate to the attainment of the first‐best allocation for welfare, we provide a new irrelevance result in terms of the choice of strategic variable in the product market. We show that regardless of whether a public or private firm is the market leader, the leader always chooses the price contract whereas the follower is indifferent between the price contract and the quantity contract. The identity of the leader and the follower firm is therefore irrelevant for the equilibrium mode of competition. Implications for economic models in mixed market settings emerge, which are also discussed.     

Business type,industry value chain,and R&D performance: Evidence from high-tech firms in an emerging market

This study focuses on how the business type and technological learning mode, which a high-tech firm chooses based on its core competence, influence the firm's R&D strategies, which in turn affect firm performance. This study also explores how the interaction between a firm's business type and industry value chain stage affects the relationship between R&D investments and operating performance. We suggest that the linkage of R&D investments and operating performance will increase gradually, when firms move from contract manufacturing to own brand business. R&D investments can contribute more to performance when firms adopt the hybrid business type. Furthermore, R&D investments generate more significant benefits for the own brand companies than the contract manufacturers at the same stage of the industry value chain. R&D investments of the downstream contract manufacturers have a negative impact on firm performance. Regardless of business type, firms in the upstream (midstream) stage of the industry value chain outperform downstream stage firms in deriving benefits from R&D activities. Finally, the lagged effects of R&D investments on operating performance are affected by the interaction between business type and industry value chain.     

Endogenous Choice of Strategic Contracts in a Mixed Duopoly with Bargaining Over Managerial Delegation Contracts

We revisit the endogenous choice problem of strategic contracts for the public firm and the private firm in a managerial mixed duopoly with differentiated goods. We consider the situation wherein the managerial delegation contracts are determined by maximising social welfare within the public firm, which is equal to the objective function of its owner, and through bargaining over the content of managerial delegation contracts between the owner and manager within the private firm. We show that, in equilibrium, when the manager of the private firm has high bargaining power relative to that of the owner, the public firm chooses a price contract, while the private firm chooses a quantity contract. However, there is no equilibrium market structure under the pure strategic contract class when the manager has sufficiently low bargaining power relative to that of the owner.     

Cooperative interim contract and re-contract: Chandler's M-form firm

Summary. At an interim stage players possessing only their private information freely communicate with each other to coordinate their strategies. This results in a core strategy, which is interpreted as an equilibrium set of players' alternative type-contingent contract offers to their fellows. From this set of offers each player then chooses an optimal one and engages in some subsequent action, thus possibly revealing some private information to the others. Now with new information thus obtained from each other, the players play a new game to re-write their contract. In all of the optimization and gaming just described, Bayesian incentive compatibility plays a central role. These ideas are formulated within a model of a profit-center game with incomplete information which formally describes interaction of the asymmetrically informed profit-centers in Chandler's multidivisional firm. Received: May 17, 1996; revised version: January 14, 1997     

QUANTITY VERSUS PRICE IN A HOMOGENEOUS PRODUCT DUOPOLY*

In a simple homogeneous product setting, the paper looks at the debate on whether firms should choose quantity or price as their strategic variable. It examines a two-stage game between firms with symmetric costs in which the firms choose the strategic mode of operation in the first period and then, in the second period, price or output are chosen simultaneously according to the mode chosen in the first stage. In this game it is possible to have two Nash equilibria where either both play in quantities or both play in prices. One firm choosing price and the other quantity can never be a Nash equilibrium in the two-stage game. Both choosing quantity is always a Nash equilibrium. Both choosing prices may be a Nash equilibrium only in some situations: the structure of the cost functions decides this issue.     

Price Competition and Product Differentiation When Consumers Care for the Environment

Increasing environmental awareness may affect the pleasure of consuming a good for which an environment friendly substitute is available. In this paper, we investigate the market implication of product differentiation when customers are concerned about environmental aspects of the good. We use the spatial duopoly model to determine how environmental concern affects prices, product characteristics and market shares of the competing firms. Our analysis is based on a two-stage game, where at the first stage each firm chooses the characteristic of its product. At the second stage, each firm chooses its price. Equilibrium prices and market shares are affected by consumer awareness of the environment and by the higher costs for producing those goods. As for the Nash equilibria in the characteristics, we find three equilibria depending on the parameter constellation. In order to find out whether the market functions in an optimal way, we determine the choice of environmental characteristics by a welfare maximizing authority. The objective of the paper is to understand the environmental quality choices facing firms and to provide policies that would align private choices with the social optimum.JEL classifications: L11, Q38, H23     

Duopoly models with a joint capacity constraint

The paper proposes a two-stage mixed duopoly model of exhaustible resource market where at the first stage the government decides on the degree of privatization of public firm and at the second stage the public and private firms decide simultaneously on the two-period extraction paths. It is demonstrated that if the two firms have symmetric technologies with increasing marginal extraction costs and the same resource stocks, then neither full nationalization of any of the two firms nor full privatization will be socially desirable. It is shown that the presence of a semi-public firm improves intertemporal allocation of the fixed resource stock. Thus, partial privatization is optimal even under exogenously fixed total outputs of each firm. For asymmetric cost case, when the public firm is less efficient than the private firm, we derive the conditions under which full nationalization or full privatization is optimal.     

Cournot competition in a differentiated oligopoly

This paper studies product-quantity equilibria in an oligopoly. Products are interpreted as “qualities” and each firm chooses a quality-quantity pair, simultaneously. It is well known that a pure-strategy equilibrium in product-price pairs does not exist in this model, but a pure-strategy equilibrium in product-quantity pairs exists. Furthermore, in an example widely studied in the literature, the equilibrium has nice asymptotic properties.     

Competition Policy as Strategic Trade with Differentiated Products

The paper analyzes how countries use competition policy as a tool for strategic trade. In the model, two countries export to a third country. Each exporting country is endowed with a set of differentiated products. Each government chooses the number of exporters for its country and the products that each exporter sells in the first period, and a tax policy in the second period. Firms choose prices or quantities independently in the third period. In the unique subgame‐perfect equilibrium, both countries group all their products within a single firm—the “national champion policy.” We study the implication of different assumptions about the timing of the game.     

Sequential Entry in a Vertically Differentiated Market

This paper considers a sequential entry game of homogeneous firms in a vertically differentiated market. A firm can choose any variety of products, with a fixed cost per product. Each product can be withdrawn afterwards without exit costs. Then each firm chooses one product at most in equilibrium because of a commitment problem. The first firm chooses the highest quality if the fixed cost is so large that subsequent entry is blockaded. It chooses middle quality to deter entry of a low–quality firm if the fixed cost decreases. Hence everyone becomes worse off as the entrant becomes more dangerous. JEL Classification Numbers: D43, L13.     

Strategic Choice of Quantity Stickiness and Stackelberg Leadership

This paper re‐examines endogenous Stackelberg leader–follower relations by modelling an explicitly dynamic market. We analyze a twice‐repeated duopoly where, in the beginning, each firm chooses either a quantity‐sticky production mode or a quantity‐flexible production mode. The size of the market becomes observable after the first period. In the second period, a firm can adjust its quantity if and only if it has adopted the flexible mode. Hence, if one firm chooses the sticky mode whilst the other chooses the flexible mode, then they respectively play the roles of a Stackelberg leader and a Stackelberg follower in the second marketing period. Somewhat intriguing is the finding that such a Stackelberg‐like equilibrium can arise only when the relative weight of the pre‐Stackelberg first marketing period is sufficiently high, with time preferences being sufficiently strong.     

The Influence of a Neighbouring Market on Product Qualities and Prices

This paper analyses a model of vertical product differentiation in which there is a primary market with two firms and a secondary market with no firms. Consumers in the secondary market incur a cost when purchasing the product from the primary market. The firms sequentially choose product quality and then simultaneously choose prices. Firm 1 always chooses the maximum quality, while firm 2's quality and the prices depend on the cost. Also, the cost determines which firm(s), if either, serves the secondary market. It is shown that the firms and the consumers of each market prefer different levels of costs.     

INTERNATIONAL ORIGINAL EQUIPMENT MANUFACTURING AND ORIGINAL DESIGN MANUFACTURING CONTRACTS WITH QUALITY‐DIFFERENTIATED PRODUCTS

We build a model of international subcontracting in quality‐differentiated goods. Assuming no entry in an original equipment manufacturing (OEM) market, we show that the foreign outsourcer will choose an original design manufacturing (ODM) contract only if the subcontractor is good enough at product design. However, the product quality with the ODM contract is not necessarily higher than that with the OEM contract. When the subcontracting market becomes perfectly competitive, the outsourcer will always choose an OEM contract. In a two‐period model with learning and entry effects, the foreign outsourcer chooses between different modes of manufacturing contracts. We demonstrate that a laissez‐faire policy on research and development (R&D) activity may be optimal even if the subcontracting firm can only obtain an OEM contract. In the case where the OEM market becomes perfectly competitive in the second period, we predict that a positive R&D subsidy in the first period can help the domestic subcontractor obtain OEM–ODM contracts and, as a result, national welfare rises.     

Regulating a risk-averse firm under incomplete information

We examine the optimal regulatory policy for a risk-averse firm when the firm is imperfectly informed about its efficiency parameter for a project at the time of contracting. The firm’s risk aversion shifts the optimal regulatory policy from a fixed-price contract to a cost-plus contract. The optimal regulatory policy entails undereffort by an inefficient firm as in Laffont and Tirole (J Polit Econ 94(3):614–641, 1986) and the effort distortion increases as the firm becomes more risk-averse. Further, the regulator benefits from sequential contracting with the firm where the firm chooses contract terms gradually as it acquires information, albeit the benefit diminishes as the firm becomes more risk-averse.      

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.     

Differentiated industries without entry barriers

Our objective is to predict the evolution of an industry without entry barriers where products are differentiated on the basis of quality. Each firm chooses a single brand whose characteristics and amount of production is determined by the firm. The analysis suggests two different stages in the evolution. The first is a stage of growth and the second is a stationary stage in terms of aggregate production. While during the first stage the entry of additional brands results in the reduction of average quality, during the second stage entry leads to increased average quality. Hotelling's principle of “minimum differentiation” is contradicted in the model.