Cournot–Bertrand comparisons under R&D competition: Output versus R&D subsidies

We compare Cournot and Bertrand competitions with R&D investment under output versus R&D subsidy policies. We demonstrate that Cournot firms invest more (less) in R&D and the government grants more (less) subsidies than for Bertrand firms with output (R&D) subsidies. We also find that both competition modes yield the same welfare with output subsidy, while Bertrand yields higher welfare than Cournot with R&D subsidy. Finally, firms' profits and welfare in Cournot are higher under output subsidies, while they can be higher in Bertrand under R&D subsidies if the product substitutability is high and the firm's R&D investment is efficient.     

垂直产品差异、外国企业纵向控制与研发政策

在Spencer和Brander(1983)模型的基础上,本文引入产品纵向控制因素,考虑生产高质量产品的非一体化企业与另一国生产低质量产品的一体化企业进行市场竞争时,政府的最优研发政策。在企业进行Cournot竞争的情形下,若产品质量差异较大(小),非一体化企业所在国政府的最优研发政策为征税(补贴),而在企业进行Bertrand竞争的情形下,非一体化企业所在国政府的最优研发策略则是征税。     

外生单向溢出效应下纵向差异化产品Cournot和Bertrand竞争均衡的比较研究

研究价格(Bertrand)和数量(Cournot)竞争模式下,单向溢出对企业质量选择、利润的影响。以纵向差异化市场结构为例,建立了基于单向质量溢出的不对称寡头竞争模型,运用赋值计算对模型的均衡解进行了比较分析,结论是:1给定溢出因子和学习效应的合理取值范围,领先和跟随企业的质量与利润在价格竞争下都小于数量竞争;2质量间的单向溢出效应、跟随者的学习努力都会导致领先者初始质量的下降,但在价格竞争时,这种"逆向选择"效应的程度较低;3跟随者的学习激励随着溢出效应的提高而降低,并不受竞争策略变化的影响。这些发现可以解释中国轿车产业竞争模式对合资和自主创新企业关系变化的影响。     

Process and product innovation: A differential game approach to product life cycle

We investigate the timing of adoption of product and process innovation using a differential game where firms may invest in both activities. We consider horizontal product innovation that reduces product substitutability, and process innovation that reduces marginal cost. First, we demonstrate that the incentive for cost‐reducing investment is relatively higher than the incentive to increase product differentiation. Second, depending on initial conditions: (i) firms activate both types of investment from the very outset to the steady state; (ii) firms initially invest in only one R&D activity and then reach the steady state either carrying out only this activity or carrying out both; or (iii) firms do not invest at all in either type of innovation. Comparing R&D investments under Cournot and Bertrand behavior shows that quantity competition entails lower R&D incentives than price competition in both directions.     

The Differential Impact of Accurate Product Cost Information in Imperfectly Competitive Markets: A Theoretical and Empirical Investigation*

Many researchers claim that costing systems that provide materially more accurate or precise cost reports have a strict value-enhancing effect on decisions (i.e., Cooper 1988, 1995; Cooper and Kaplan 1991; Christensen and Sharp 1994; Rogers. Comstock. and Pritz 1994; Swenson 1995; Gupta and King 1997). However, this study provides theoretical and empirical evidence that the value of more accurate cost information may be dependent upon the firm's competitive market structure, as well as the firm's product market strategy. We extend the theoretical work of Gal-Or 1986 to incorporate an endogenous imprecise cost signal in two imperfect market structures: Cournot competition and Bertrand competition with imperfectly substitutable products. In addition, we theoretically link market structure to product market strategy. To examine product market strategy, we employ a laboratory markets design that allows for strategic reaction by a rival firm in each of these markets, because the competitive position of a firm is determined by its capacity to produce at low cost, or to differentiate its product from other products (Porter 1985). Consistent with our theoretical work, we argue that firms that compete on the basis of cost leadership (which we demonstrate may be characterized as Cournot competition), benefit through increased profits from increased product cost accuracy, whereas firms that compete on the basis of product differentiation (which we demonstrate may be characterized as Benrand competition) do not benefit from such increased product cost accuracy. Our results are consistent with this contention. That is, profit is higher in the experimental cost leadership markets (operationalized as Cournot markets) when subjects know their true cost, while profit is higher in the experimental product differentiation markets (operationalized as Bertrand markets) when subjects receive uninformative cost reports and make their decisions based on expected costs. These results suggest that the value of more accurate cost reports may be dependent upon the firm's competitive market structure strategy and product market strategy.     

Effect of a tariff on the environment and welfare: The case of an environmental differentiated duopoly in a Green Market

Employing a model of environmental quality-differentiated products, we analyze the effect of an ad valorem tariff on the unit emission level of the products, the environment and welfare in the Bertrand and the Cournot duopoly cases, respectively. We show that the effect of the tariff policy depends on the mode of market competition and the degree of marginal social valuation of environmental damage.     

Market Substitution and the Pareto Dominance of Ad Valorem Taxation

Based on product homogeneity and Cournot competition, past literature has uniformly shown that ad valorem taxation welfare dominates unit taxation in noncompetitive markets. This paper allows goods in a market to be heterogeneous and firms to be Bertrand competing. We confirm the short-run findings of others that consumer welfare and overall welfare are always higher under ad valorem taxation. However, ad valorem taxation generates larger profits (hence Pareto dominates) only when market demand is elastic, perhaps explaining the persistence of unit taxation in markets with inelastic demand. The effects on ad valorem Pareto dominance of within- and between-market substitutability, number of firms in the taxed market, and the level of taxation are also investigated. In the long run, an equal-revenue substitution of ad valorem taxation for unit taxation reduces consumer price, which is welfare improving, but also reduces variety when market demand is elastic, which is welfare decreasing. Nonetheless, ad valorem welfare dominance still holds in the long run.     

地方政府对国外直接投资税率竞争的博弈分析

本文采用伯川德价格竞争模型研究两个地方政府如何制定税率来竞争一个外商投资项目。分析了企业在不同地区投资的价值由公有信息和私有信息组成时,投资环境的异同对于均衡税率的影响。若投资环境同质,两地方政府税率竞争均衡时税率为零;若投资环境对企业有差异,均衡税率大于零。两种情况下的均衡税率都低于社会福利最大化时的税率水平。     

Impact of Competition and Taxes on Responsibility Center Organization and Transfer Prices*

We show that a firm can use its decentralized organizational structure and transfer price as commitment devices to obtain strategic advantage in the product market only when there are nonstrategic reasons to decentralize and to distort transfer prices away from marginal costs, such as the sales office's local knowledge about market conditions and the presence of tax rate differentials across the two tax jurisdictions. Surprisingly, an increase in the sales office's tax rates may help a firm increase overall profits. An increase in the sales office's tax rates causes the firm to increase its transfer price, which in turn dampens the sales office's competition and may more than offset the effect of increased tax rates on the firm's overall profits.     

The effect of export tax rebates on export performance: Theory and evidence from China

This paper develops a Cournot quantity competition model to examine the effect of export tax rebate policy on export performance. The main conclusions drawn are as follows: (i) when a government raises the export rebate rate, the output of final goods for export by the domestic firm increases, while the output of the foreign competitor decreases; (ii) when a government raises the export rebate rate, the profit of the domestic firm increases, while that of the foreign competitor decreases; and (iii) the optimum export rebate rate is positive and greater than 1, indicating that the domestic government not only refunds fully the custom duties paid by the domestic firm on imported intermediate goods, but also offers export subsidies for its export of final goods.To corroborate the conclusions drawn based on the theoretical model, empirical analysis was carried out using the statistical data of China from 1985 to 2002. The test results of Spearman rank correlation coefficient show that China's export tax rebate policy has significant positive correlation with its exports, final domestic consumption, and foreign exchange reserve.     

Economic consequences of VIE when consumers are constrained

This paper, using a Bertrand model of duopoly competition, shows that voluntary import expansion (VIE) forced on consumers, instead of on a producer, is also significantly anticompetitive. VIE causes a higher price as well as higher average cost of supply. When firms can use non-linear pricing, VIE forces marginal cost pricing by the disadvantaged firm, so that it loses incentive for cost-reduction.     

Market structure, pigouvian taxation, and welfare

Using a short-run partial equilibrium model of social welfare, this paper examines the social welfare implications of changing Pigouvian taxes under three markets: perfect competition, monopoly, and Cournot oligopoly. The result for perfect competition supports the earlier finding that Pigouvian taxation increases social welfare [Buchanan, 1969]. However, in contrast to the previous result that Pigouvian taxes lower welfare under monopoly, the authors show that if the noncompetitive distortion is small, these taxes might still be useful in correcting monopoly-generated externalities and in improving social welfare. Cournot firms react to the tax depending upon their individual perceptions of the gain in post-tax marginal revenue. Policy implications of the study's results are discussed.     

The welfare effects of a european anti-dumping duty and price-undertaking policy

In the framework of its anti-dumping policy, the European Union can use two instruments: an anti-dumping duty and a price-undertaking. The objective of both instruments is to eliminate the price difference, on the European market, between a European product and a similar foreign product which is dumped on the European market. The authors first briefly look at the institutional framework within which the European Union operates, and at the actual use made of the two instruments since 1980. The main purpose of the paper is to show that, from a welfare point of view, an anti-dumping duty is always better than a price-undertaking. This result is very robust: it holds for quasi-linear preferences, under both Bertrand and Cournot competition, and irrespective of the timing of the firms' decisions.     

Export and Strategic Currency Hedging

This paper examines an international Cournot duopoly wherein a home firm and a foreign firm compete in the home market under exchange rate uncertainty. The foreign exporting firm, being risk averse, has incentives to hedge its exchange rate risk exposure. In a two-stage setting, we show that hedging via an unbiased currency futures market acts as a strategic device. In particular, under either constant or decreasing absolute risk aversion, an increase in the hedging volume of the foreign firm promotes its exports and deters the home firm’s output. In contrast to the well-known full-hedging result in a perfectly competitive environment, we find that the foreign firm over-hedges for strategic reasons. Furthermore, the separation result from the hedging literature under perfect competition no longer holds in our duopoly framework, i.e., equilibrium output levels depend on the risk attitude of the foreign firm as well as the probability distribution of the spot exchange rate.     

Endogenous Markups,Intensity of Competition,and Persistence of Business Cycles

In order to study the propagation mechanism of business cycles, in particular to investigate how the intensity of competition affects market structure and output persistence over business cycles, this paper presents a real business-cycle model with imperfect competition and increasing returns to scale. This analysis considers the markups of price over cost to be endogenous. With endogenous markups, two standard forms of oligopolistic competition—Bertrand and Cournot—are considered. Results show that: (1) the propagation mechanism in the sense of output persistence is greater under Cournot; (2) the propagation mechanism is unequivocally greater with imperfect competition, regardless of whether markups are endogenous or not; and (3) under imperfect competition, the propagation mechanism is greater with endogenous markups than with exogenous markups. Overall, these results suggest that more intense competition produces lower persistence in output growth and, thus, a weaker propagation mechanism. In a calibration exercise, these differences were also found to be quantitatively important.     

Quality and Quantity Competition in a Multiproduct Duopoly

This article proposes a Cournot model of two‐stage competition to examine the patterns of vertical product differentiation in a multiproduct duopoly. Firms simultaneously choose the number of products and their qualities at the first stage and compete in quantities at the second stage. We show that when the fixed setup cost of a product is high enough to result in a monopoly outcome, the monopolist always sells a single product. Moreover, in any equilibrium of a multiproduct duopoly, quality differentiation between them will develop into a nonsegmented pattern because each firm desires to avoid a strong effect of cannibalization. The set of equilibria reveals the properties of quality differentiation between multiproduct firms. In a multiproduct duopoly, the profit from a high‐quality product can be lower than that from a low‐quality product. This finding sharply contrasts with the literature on single‐product firms, which finds the high‐quality advantage.     

Strategic R&D policy in a quality-differentiated industry with three exporting countries

We examine strategic research and development (R&D) policy for quality-differentiated products in a third-market trade model. We extend the previous work by adding a third exporting country, so that the market structure is international triopoly. We show that the presence of the third exporting country affects strategic R&D policies. With three exporting countries, the lowest-quality exporting country gains from taxing domestic R&D and the middle-quality exporting country gains from subsidizing domestic R&D under both Bertrand and Cournot competition. As in the duopoly case, however, the optimal unilateral policy for the highest-quality exporting country depends on the mode of competition. Various cases of policy coordination by exporting countries are also examined.     

A choice‐theoretic analysis of a corporate tax holiday versus a subsidy

This paper attempts to compare the effect of a corporate tax holiday with that of a subsidy on the behaviour of the individual firm. Assuming the subsidy equals the amount of tax paid by a firm operating under the subsidy system, we find that the firm's net profit will be greater under the tax holiday than under the subsidy regime. Similarly, if the subsidy exceeds the tax by an amount that would equalize the profits made by the (“marginal”) firm under the two regimes, then it is found that firms with higher than “average” unit costs would opt for the subsidy system; conversely, firms with a low cost structure would maximize profits by selecting the tax holiday. Finally, a multiperiod analysis of the particular choice facing prospective manufacturers in Ciskei, shows that the firm would normally choose the subsidy system except if the current tax exceeded the subsidy at the output level representing maximum profit under the tax holiday.     

CSR in an Asymmetric Duopoly with Environmental Externality

We investigate a linear state differential game describing an asymmetric Cournot duopoly with capacity accumulation á la Ramsey and a negative environmental externality (pollution), in which one of the firms has adopted corporate social responsibility (CSR) in its statute, and therefore includes consumer surplus and the environmental effects of production in its objective function. If the market is sufficiently large, the CSR firm sells more, accumulates more capital, and earns higher profits than its profit‐seeking rival.