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.     

Multinational Corporations, Stackelberg Leadership, and Tariff-jumping

In this paper we consider the traditional entry mode choice of an incumbent monopolist facing entry by a single foreign firm. By allowing entry to be either via exporting or foreign direct investment and for the possibility of Stackelberg equilibria where firms can set quantities in one of two time periods, namely “early” or “late,” we find conditions where both Cournot and Stackelberg equilibria emerge endogenously. Furthermore, by introducing a simple linear tariff, we see that it not only affects the choice of exporting and FDI in a nonlinear way, but that it can also affect the type of equilibrium that emerges.     

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     

On the endogeneity of Cournot-Nash and Stackelberg equilibria: games of accumulation

We characterize equilibria of games with two properties: (i) Agents have the opportunity to adjust their strategic variable after their initial choices and before payoffs occur; but (ii) they can only add to their initial amounts. The equilibrium set consists of just the Cournot-Nash outcome, one or both Stackelberg outcomes, or a continuum of points including the Cournot-Nash outcome and one or both Stackelberg outcomes. A simple theorem that uses agents’ standard one-period reaction functions and the one-period Cournot-Nash and Stackelberg equilibria delineates the equilibrium set. Applications include contribution, oligopoly, and rent-seeking games.     

How Profit Shifting May Increase the Tax Burden of Multinationals: A Simple Model with Discrete Investment Choices

This paper models a Stackelberg tax setting game between two revenue‐maximizing countries which compete for the location of a single production plant owned by a multinational firm. We introduce the possibility of profit‐shifting activities by the multinational firm and investigate how a change in the costs of profit shifting affects equilibrium tax rates, revenue, and the tax burden of the multinational firm. We show that in most cases, tax rates of the two countries will be higher under profit shifting than without. If the costs for profit shifting are not too low, the strategic adjustment of profit tax rates will typically harm the multinational firm.     

Lifetime Employment Contract and Strategic Entry Deterrence: Cournot and Bertrand

This paper is based on a two-stage model of an incumbent firm and a potential entrant, and studies both quantity-setting competition and price-setting competition. We consider a lifetime-employment-contract policy as a strategic commitment that generates kinks in the reaction curve. Furthermore, demand functions are classified into two cases in terms of the strategic relevance between both firms. Therefore, we examine the following four cases: 'quantity-setting competition with strategic substitutes', 'quantity-setting competition with strategic complements', 'price-setting competition with strategic substitutes' and 'price-setting competition with strategic complements'. The purpose of this paper is to analyse entry deterrence in the four cases and to show the effectiveness of the lifetime-employment-contract policy as a result of its analyses.     

WAGE‐RISE CONTRACT AND QUANTITY COMPETITION WITH PROFIT‐MAXIMIZING AND LABOUR‐MANAGED FIRMS

This paper examines the behaviours of a profit‐maximizing firm and a labour‐managed profit‐per‐worker‐maximizing firm in a two‐stage quantity‐setting model with a wage‐rise contract as a strategic commitment. The paper then shows that there exists a unique equilibrium that coincides with the Stackelberg solution where the profit‐maximizing firm is the leader and the labour‐managed firm is the follower.     

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.     

Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility

This paper presents a model of stochastic oligopoly with demand uncertainty where firms endogenously choose entry timing. We examine two extreme types of market structure and show that the equilibrium correspondence that connects them is continous. With two identically sized firms, there are symmetric, Cournot type equilibria where the probability of early entry declines with greater uncertainty, and for low uncertainty two asymmetric equilibria. With one large firm with a continuum of nonatomic firms, there is a unique Stackelberg equilibrium. We conclude that the behavior of a dominant firm with a finite fringe can be approximated by Stackelberg equilibrium.Journal of Economic LiteratureClassification Numbers?: D21, L11.     

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。     

MARKET PRICE MECHANISMS AND STACKELBERG GENERAL EQUILIBRIA: AN EXAMPLE

This paper considers Stackelberg competition in a general equilibrium framework with a productive sector. The working of market power and the configurations of strategic interactions are complexified by the presence of a leader. Two market price mechanisms are studied: one is associated with the Stackelberg–Walras equilibrium and the other is linked to the Stackelberg–Cournot equilibrium. Throughout the example of a two commodity economy, several results are obtained about equilibria mergings and about welfare comparisons.     

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.     

Cross-border mergers and strategic alliances

This paper develops a model with distribution costs to study firm cooperation in forming strategic alliances and mergers, under different types of foreign market entry modes, that is, export or foreign direct investment (FDI). Under both export and FDI, we find that cross-border alliances (mergers) dominate domestic alliances (mergers); and cross-border alliances and mergers are preferred to independence if and only if distribution cost is high. Under export, cross-border alliances are chosen in equilibrium if distribution cost is high. Under FDI and with high distribution cost, cross-border alliances (mergers) are chosen in equilibrium if plant setup cost is low (high).     

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.     

Would Excess Capacity in Public Firms Be Socially Optimal?

We analyse oligopolistic interactions between a welfare-maximizing public firm and a profit-maximizing private firm in a repeated game. We find that the public firm can hold excess capacity as a strategic punishment device to sustain a subgame perfect equilibrium which is welfare-superior to the static Nash equilibrium. Basically, potential punishment from the public firm in the dynamic game can make the self-interested private firm behave in the public interest. Furthermore, if capacity is endogenous, public excess capacity can occur in a welfare efficient equilibrium when the cost of public capacity investment is higher than that of private investment.     

Optimal manipulation rules in a mixed oligopoly

We study the optimal manipulation rules of a public firm’s objective function in a mixed oligopoly with imperfect product substitutability. We start with a baseline duopoly model and compare the solutions under quantity and price competition, and the way they are affected by product substitutability. This allows us to show that partial privatization, strategic delegation and other specific government’s commitments on the objective function of the public management can be looked at as special cases of these optimal rules, and to evaluate the viability of these policies under the two modes of competition. In this framework, we also discuss the equivalence between manipulation of the objective function and Stackelberg leadership. Since optimal manipulation rules change as new dimensions are added, we also derive the optimal rules under oligopoly, quadratic costs, and competition of international firms. This fairly general unified framework allows to discuss the impact of these factors on the government’s implementation policies of the optimal manipulation rules.     

A Two-stage Cournot Duopoly with Inventory Costs

This paper analyses the Cournot duopoly model which has two production periods before the market clears. As shown by Saloner (1987), if inventory costs are zero, many outcomes including both Cournot and Stackelberg outcomes are subgame perfect equilibrium outcomes. However, if small inventory costs are introduced, the Cournot outcome is no longer found in equilibrium and the equilibrium outcomes are only of Stackelberg-type. This suggests that more attention should be paid to the Stackelberg model than to the Cournot model.     

Corporate social responsibility and strategic relationships

We analyze a delegation game relevant to the conduct of corporate social responsibility (CSR) in which the firm’s owner offers the manager a contract consisting of firm profit and social welfare. We derive three results that distinctly differ from existing findings. First, CSR decisions are strategic complements for firms. Second, with simultaneous CSR decisions, the equilibrium price is equal to marginal cost, despite the fact that firms compete in a Cournot duopoly. Finally, with sequential CSR decisions, unlike the follower firm, the leader firm never exhibits CSR. However, the follower firm can enjoy a profit equal to that derived by the leader in a Cournot–Stackelberg game.     

Analysis of price competition and strategic implications for heterogeneous market structure

This paper examines strategic competition behavior in heterogeneous market structure where both conventional offline and online firms coexist in equilibrium and draws strategic implications with some remarks on welfare. Research on the price competition between conventional offline and online firms has been done through empirical approaches; however, the results are conflicting. This paper reconciles the existing conflicting empirical findings on price levels between conventional offline and online firms through a theoretical approach. We find that as the online market matures, prices in both conventional and online firms drop, and the price in the online firm can be higher than that in a conventional offline firm. Furthermore, if convenience associated with the online increases, the online price tends to exceed the conventional offline price.     

On Stackelberg competition in strategic multilateral exchange

In this paper, we consider a strategic equilibrium concept which extends Stackelberg competition to cover a general equilibrium framework. From the benchmark of strategic market games proposed by Sahi and Yao (1989), we define the notion of Stackelberg equilibrium. This concept captures strategic interactions in interrelated markets on which a finite number of leaders and followers compete on quantities. Within the framework of an example, convergence and welfare are studied. More specifically, we analyze convergence toward the competitive equilibrium and make welfare comparisons with other strategic equilibria.