Non-renewable resource Stackelberg games

The market structure for many mineral industries can be described as oligopoly with potential for Stackelberg leadership. This paper derives and analyzes dynamically consistent extraction equilibria in a two-period discrete-time “Truly” Stackelberg (TS) model of non-renewable resource extraction, where firms move sequentially within each period and where both the leader and follower have market power. We show how the leader may be able to manipulate extraction patterns by exploiting resource constraints. Whether the leader wants to speed up its own production relative to the Cournot–Nash (CN) equilibrium depends on the shape of its iso-profit curve, which is affected by the two firms’ relative stock endowments and relative production costs. If the leader extracts faster, then the follower extracts slower, but in aggregate the industry extracts faster. Unlike static Stackelberg games, the follower does not necessarily have a second mover disadvantage.     

A Two-stage Price-setting Duopoly: Bertrand or Stackelberg

This paper investigates a two-stage price-setting duopoly with differentiated goods. First, each firm announces its price; second, it chooses its actual price; and finally the market opens. Once a firm announces a price, it is able to discount it but not raise it. The model includes Stackelberg-type and Bertrand-type equilibria as possible outcomes. Whether Bertrand or Stackelberg appears in equilibrium depends on the properties of demand functions crucially. We find three patterns of equilibrium outcomes; one case has Bertrand equilibrium only, another has Stackelberg only, and the other has both equilibria     

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.     

Mixed oligopoly and spatial agglomeration

Abstract We investigate a mixed market where a state‐owned welfare‐maximizing public firm competes against profit‐maximizing private firms. We use a circular city model with quantity‐setting competition. In contrast to a pure market case discussed by Pal (1998a) , spatial agglomeration of private firms always appears in equilibrium. All private firms locate at the same point, and the public firm locates at the opposite side. We also find that this equilibrium pattern of the location is second best provided that output of each private firm cannot be controlled by the social planner. JEL Classification: H42, L13
Oligopole mixte et agglomération spatiale Les auteurs examinent un marché mixte où une entreprise publique possédée par l'État et cherchant à maximiser le niveau de bien‐être est en concurrence avec des entreprises privées qui cherchent à maximiser leurs profits. On utilise un modèle de cité circulaire où la concurrence se fait en choisissant la quantité produite. En contraste avec le cas du marché parfait discuté par Pal (1998a), l'agglomération spatiale des entreprises privées paraît être en équilibre. Toutes les entreprises privées se localisent au même point, et l'entreprise publique se localise du côté opposé. Il appert que ce pattern d'équilibre de localisation est un équilibre de second ordre compte tenu du fait que la production de chaque entreprise privée ne peut être contrôlée par le planificateur social.     

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.     

ALTERNATIVE STRATEGIES OF A PUBLIC ENTERPRISE IN OLIGOPOLY REVISITED: AN EXTENSION TO STACKELBERG COMPETITION

This paper revisits De Fraja and Delbono (1989), which is the seminal paper on mixed oligopoly, in order to pay more attention to Stackelberg competition. First, we show that, even in Cournot competition, if the number of private firms is sufficiently small, privatization necessarily reduces social welfare. Second, we demonstrate that when a public firm is a Stackelberg leader before and after privatization, privatization necessarily reduces welfare irrespective of the number of private firms. Moreover, we show that even when a public firm remains a follower, privatization reduces welfare if the number of private firms is relatively small.     

Strategic union delegation and strike activity

Abstract.  We develop a model of wage determination with private information, in which the union has the option to delegate the wage bargaining to either surplus‐maximizing delegates or to wage‐maximizing delegates (such as senior union members). We show that the wage outcome in case of surplus‐maximizing delegates is not necessarily smaller than the wage outcome in case of wage‐maximizing delegates, even when the wage bargaining with private information is close to one with complete information. However, if it is commonly known that the union is stronger than the firm and the demand is sufficiently elastic, then delegating to wage‐maximizing delegates definitely increases the wage at equilibrium. The maximum delay in reaching an agreement is greater whenever the union chooses wage‐maximizing delegates instead of surplus‐maximizing delegates and remains finite even when the period length shrinks to zero. JEL classification: C70, C71, C72, C78     

Stackelberg竞争结构中质量提高型创新技术授权和企业兼并

本文基于Stackelberg双头垄断竞争模型,分析比较了质量提高型创新技术拥有企业的技术授权策略和企业兼并。研究结果表明:不论技术拥有企业是市场先行者还是跟随者,其总是偏向于企业兼并,而不会选择固定费用授权方式;如果政府禁止企业的兼并行为,那么当技术拥有企业在市场中是产量跟随者时,其愿意以提成许可方式进行技术授权;从社会福利角度考虑,技术授权可提高社会福利,而企业兼并一般不利于社会福利的提高,只有当创新技术拥有企业是Stackelberg竞争结构中的产量跟随者且其创新规模较大时,企业兼并才可提高社会福利。     

Stackelberg Mixed Duopoly with a Foreign Competitor

We investigate Stackelberg mixed duopoly models where a state‐owned public firm and a foreign private firm compete. We examine a desirable role (either leader or follower) of the public firm. We also consider endogenous roles by adopting the observable delay game of Hamilton and Slutsky (1990). We find that, in contrast to Pal (1998) discussing a case of domestic competitors, the public firm should be the leader and that it becomes the leader in the endogenous role game. We also find that in contrast to Ono (1990) eliminating a foreign firm does not improve domestic welfare in mixed oligopolies.     

Commitment,first-mover-, and second-mover advantage

We identify circumstances under which a firm with a first-mover advantage may get leapfrogged by a follower. At the market stage we assume a Stackelberg structure, i.e. the leader commits to a quantity and the follower reacts to it. We allow the owners of both firms to select the internal organization and the production technology before quantities are set. That is, leader and follower can additionally use two commitment strategies alternatively or in combination: investing in R&D and delegating quantity decisions to managers. Despite the symmetry of options for the two firms, we find that there is a unique equilibrium in which both firms invest in process R&D, only the follower delegates, and the follower can overcome the first-mover advantage of the quantity leader and obtain a higher profit than the leader. Our analysis reveals that there are some important differences between the two commitment devices “cost-reducing R&Dt” and “delegation to managers”.      

Cournot Duopoly With Multi-period Competition: Inventory as a Coordination Device

This paper analyses a Cournot duopoly model with finitely repeated competition. Each firm is allowed to hold inventories for a period. When there are more than two periods, inventory-holdings encourage firms to take collusive actions. By holding large inventories, a firm can commit to large sales in the next period, giving inventories a strategic value. When a firm deviates from collusion, the strategic value of inventories allows the non-defecting firm to become the Stackelberg leader in future markets, forcing the defecting firm to become the Stackelberg follower. Collusive sales can be attained with this threat of punishment.     

Why some product innovations are licensed and others are not?

We study in a Stackelberg industry the licensing of a product that embodies an innovation (quality-improving product) whose owner may be the firm that plays as a leader or a follower in setting output in the the product market. We find that the innovation is transferred (and social welfare is reduced) if its owner is the market-leader firm. However, if the innovation is in the hands of the market-follower firm, it is not licensed, even though licensing would be welfare enhancing. Thus, subsidizing R&D with the mandatory licensing of the resulting innovation may be a socially desirable policy.     

战略性经营者激励选择与国际市场份额竞争

本文首先用具有线性需求和规模收益不变生产技术的Cournot双头模型来刻画国际市场份额竞争。指出 ,如果参与国际竞争的本国企业是所有权与经营权分离的企业 ,那么 ,无论竞争对手是否是所有权与经营权分离的企业 ,本国企业所有者总是有积极性操纵经营者的激励 ,特别的 ,在只有本国企业作出单边激励选择的情况下 ,这种操纵可以使本国企业生产Stackelberg领先者产量成为可以置信的承诺。它在这里所起到的作用是与出口补贴在战略性贸易政策分析中所起到的作用相一致的。如果考虑到从过去的GATT到现在的WTO都规定政府不得以任何形式参与国际竞争 ,这个结论就更有趣了。因为无须政府帮助 ,本国企业所有者凭借自身的力量就能实现有利于本国企业的竞争结果。这种民间对政府的替代是有意义的。在双边激励选择的情况下 ,两国企业陷入了“囚徒困境”。本国企业只有诉诸于本国政府对国际市场的干预 ,才能重新获得Stackelberg领先者的地位 ;但与对它的传统理解相比 ,这种地位已然弱化。最后 ,我们还证明 ,根据相当一般的条件 ,所有者决定的最优经营者激励只与竞争类型 (数量竞争还是价格竞争 )有关 ,而与企业的产品类型 (替代品还是互补品 )无关。     

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.     

Public Sector Rationing and Private Sector Selection

We study the interaction between nonprice public rationing and prices in the private market. Under a limited budget, the public supplier uses a rationing policy. A private firm may supply the good to those consumers who are rationed by the public system. Consumers have different amounts of wealth, and costs of providing the good to them vary. We consider two regimes. First, the public supplier observes consumers’ wealth information; second, the public supplier observes both wealth and cost information. The public supplier chooses a rationing policy, and, simultaneously, the private firm, observing only cost but not wealth information, chooses a pricing policy. In the first regime, there is a continuum of equilibria. The Pareto dominant equilibrium is a means‐test equilibrium: poor consumers are supplied while rich consumers are rationed. Prices in the private market increase with the budget. In the second regime, there is a unique equilibrium. This exhibits a cost‐effectiveness rationing rule; consumers are supplied if and only if their cost–benefit ratios are low. Prices in the private market do not change with the budget. Equilibrium consumer utility is higher in the cost‐effectiveness equilibrium than the means‐test equilibrium.     

The closed‐loop effect and the profitability of horizontal mergers

Abstract.  We study the profitability of horizontal mergers in a dynamic competition context with sticky prices. It is shown that, when firms use open‐loop strategies, a merger is profitable only if the share of the market that merges is significant enough. In the case where firms use closed‐loop strategies we provide a method to conduct analytically the study of the profitability of horizontal mergers. We first prove the existence of an equilibrium of the game when a subset of firms merges. When firms use feedback strategies, mergers are profitable even when the share of the market that merges is arbitrarily small. JEL Classification:D4, L13     

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.     

Multidivisional firms, internal competition, and the merger paradox

Abstract.  Traditional modelling of mergers has the merged firms (insiders) cooperate and maximize joint profits. This approach has several unappealing results in quantity‐setting games, for example, mergers typically are not profitable for insiders, but are profitable for non‐merging firms (outsiders). We take a different approach and allow for a parent company that can play each insider off one another. In quantity‐setting games, with our approach mergers are profitable for insiders, unprofitable for outsiders, socially beneficial, and involve (in a non‐monopolizing merger) a small number of firms. Finally, we find that the optimal strategy depends on whether firms compete in quantity or prices. JEL classification: L000     

Multinationals,Information Update,and Product Adaptation *

This paper develops a dynamic model of decision making by multinational firms. The firm chooses between exporting and producing abroad when it expands the market. Bayes learning is incorporated into this model in addition to fixed cost and transport cost Production in a foreign country gives the firm new information about the demand function. This information is applied to adjust the firm's expectation as well as output choice in the future. This process not only reduces the risk encountered by a firm in a foreign market, but also increases acceptance of the product which the firm manufactures. This paper concludes even if producing abroad loses money in the first period, the firm may still choose to set up plants in foreign countries rather than exporting, due to the dynamic information advantage associated with going multinational. [F23,F21]     

Equilibrium locations in a mixed duopoly with sequential entry in real time

We investigate a mixed duopoly model where a public firm and a private firm enter a market sequentially over an infinite time horizon, with and without uncertainty over the follower's entry date. We assume that there is a unit-length linear city and show that, if the public firm moves first, equilibrium location falls inside the second and third quartiles. The later the follower is expected to enter, the closer the two firms are. However, if the private firm acts first, it moves aggressively to locate at the middle point (one-half), forcing the public firm to locate nearer the periphery (one-sixth), to minimize consumers' transportation cost. In addition, social welfare is strictly greater when the public firm moves as the leader.