Delegation and Information Sharing in Cournot Duopoly

Information sharing in oligopoly has been analyzed by assuming that firms behave as a sole economic agent. In this paper it is assumed that ownership and management are separated. Contrary to the classical result of information sharing in a Cournot duopoly with private cost information, the paper shows that information sharing is no longer always a dominant strategy and expected consumer surplus is no longer always decreased. The paper determines the circumstances under which information is exchanged and analyzes its welfare consequences.      

Strategic corporate social responsibility,imperfect competition,and market concentration

We examine the strategic use of corporate social responsibility (CSR) in imperfectly competitive markets. Before firms decide upon supply, they choose a level of CSR which determines the weight they put on consumer surplus in their objective function. First, we consider Cournot competition and show that the endogenous level of CSR is positive for any given number of firms. However, positive CSR levels imply smaller equilibrium profits. Second, we find that an incumbent monopolist can use CSR as an entry deterrent. Both results indicate that CSR may increase market concentration. Finally, we show that CSR levels decrease as the degree of product heterogeneity increases in Cournot competition and are zero in Bertrand Competition.     

Stakeholders’ relationships and product market competition

In this article, we study the relationships between main stakeholders (shareholders, consumers and employees) when firms are consumer oriented (CO) in the sense of caring about consumers’ interests in the objective function. We let these firms first bargain with labour union over their employees’ wages and then compete either in the quantity space (Cournot competition) or in the price space (Bertrand competition). Our model shows that taking care of the consumers’ interests when determining product market strategies may reverse the traditional ranking between Cournot and Bertrand equilibria. This implies that if shareholders in a CO firm can choose either a quantity or a price strategy, they will surprisingly choose the latter. Moreover, we show that the conflicting interests between main stakeholders are attenuated under Bertrand competition compared to Cournot competition.     

Maximum-revenue tariffs versus free trade

Welfare with the maximum-revenue tariff is compared to free-trade welfare under Cournot duopoly with differentiated products; under Bertrand duopoly with differentiated products; and under perfect competition in the case of a large country able to affect its terms of trade. Under Cournot duopoly and Bertrand duopoly, assuming linear demands and constant marginal costs, welfare with the maximum-revenue tariff is always higher than free-trade welfare. Under perfect competition, assuming linear demand and supply, welfare with the maximum-revenue tariff will be higher than free-trade welfare if the country has sufficient market power.     

Pareto-Improving Redistribution in a Monopoly

This paper discusses the impact of income transfers between consumers of a monopoly. In this context, redistributing the incomes could induce an increase of the demand elasticity which leads to a lower monopoly price, beneficial to any consumer. Under mild assumptions on the demand function, we prove the existence of a transfer maximizing the market coverage which remains advantageous for any contributing consumer. It is proved that the producer is also better off. Then the transfer is Pareto-improving. In the linear demand case, analytical results are found. Extensions to Cournot oligopoly and natural monopoly pricing are considered.
JEL Classification Numbers: D31, D64, H2, L13     

Price and Quantity Competition in a Differentiated Duopoly With Network Compatibility Effects

We consider the efficiency of price and quantity competition in a network products market, where we observe product compatibility with network externalities (hereafter, network compatibility effects). In particular, if network compatibility effects between firms are sufficiently asymmetric, the Cournot equilibrium is more efficient than the Bertrand equilibrium in terms of larger consumer, producer and total surpluses. Then, we consider an endogenous choice of the strategic variables, price and quantity. If the degree of network compatibility effects of the rival firm is larger (smaller) than the degree of product substitutability, then choosing prices (quantities) is a dominant strategy for the firm. Thus, if the network compatibility effects of both firms are larger (smaller), the Bertrand (Cournot) equilibrium arises. Furthermore, if the network compatibility effects between the firms are sufficiently asymmetric, the firm with a larger (smaller) network compatibility effect than a certain level of product substitutability chooses quantities (prices). In this case, the Cournot–Bertrand equilibrium arises, which is less (more) efficient than the Cournot equilibrium in terms of consumer (producer) surplus.     

Investigating the Robustness of Macroeconomic Inference to Measurement Errors: The Case of the Consumer Decision Interval

That economists know next to nothing about measurement errors is not a good reason to assume them away. A more meaningful approach might be to investigate under which classes of measurement errors a given null hypothesis is rejected or not rejected. This paper illustrates this approach for the question of whether consumers make decisions at high or low frequency. It is shown that, with monthly data and assuming no measurement errors, a model of consumer behaviour that takes into account the durability of non-durable goods corroborates the low-frequency hypothesis. The paper then investigates the classes of measurement errors for which this conclusion does and does not hold.
JEL Classification Numbers: C4, E2.     

Innovation,licensing, and price vs. quantity competition

In this paper, we develop a differentiated duopoly model with endogenous cost-reducing R&D and review the argument on welfare effect of price and quantity competition in the presence of technology licensing. We show that, with licensing, the standard conclusion on duopoly (Singh and Vives, 1984) is completely reversed. Cournot competition induces lower R&D investment than Bertrand competition does. Moreover, Cournot competition leads to lower prices, lower industry profit, higher consumer surplus and higher social welfare than Bertrand competition.     

Bundling strategy and product differentiation

The existing literature shows that a decrease in the degree of substitutability increases a monopoly’s incentive to bundle. This paper in addition takes into account competition in the second product market and then re-examines how intra-brand and inter-brand product differentiations affect the incentive to bundle. In order to formally examine the above conjectures, this research builds up a two-firm, two-product model in which product 1 (monopoly product) is produced only by the bundling firm and product 2 (competing product) is produced by both firms. The analysis shows that under both Bertrand and Cournot competitions the incentive to bundle does not necessarily increase with the degree of intra-brand differentiation, while it strictly decreases with the degree of inter-brand differentiation. Moreover, under Bertrand competition bundling always decreases consumer surplus, but may increase the competitor’s profit and social surplus. Under Cournot competition bundling always reduces the opponent’s profit and social welfare, but may increase consumer surplus.     

Effect of credible quality investment with Bertrand and Cournot competition

We show how credible revelation and ability to commit to quality choice effect equilibrium qualities and welfare when product market is either Bertrand or Cournot competition. We show that results depend on the type of competition but not generally on the cost of quality function. We show that with Bertrand competition, the equilibrium qualities are lower with credible commitment. Competition is moderated and producer surplus is higher and consumer surplus lower. With Cournot competition, higher quality will be better but lower quality will be worse with credible commitment. Consumer surplus is always greater with credible commitment and if cost does not increase too quickly with quality, producer surplus will also increase. Thus credible commitment is a collusive device with Bertrand competition but it can improve social welfare with Cournot competition. Received: February 8, 2000; revised version: February 14, 2002 RID="*" ID="*" The idea of this paper originated in the weekly workshops of Mordecai Kurz at Stanford. I am forever in debted to Mordecai and fellow students – Luis Cabral, Peter DeMarzo, John Hillas, Michihiro Kandori, Steve Langois, Patrick McAllister, Steve Sharpe, Peter Streufert, Steve Turnbull and Gyu-Ho Wang – for their criticism and encouragement. I also benefited from comments from Yi-Heng Chen, Jin-Li Hu, Kala Krishna, Jinji Naoto, Thomas J. Prusa, and Shyh-Fang Ueng at various later stages of this work. Last but not least, I am grateful for the detailed comments of the referee.     

Learning to collude: An experiment in convergence and equilibrium selection in oligopoly

The paper considers a simple oligopoly model where firms know their own and the average pay-off in the industry. Firms choose decision rules for trading. The theory predicts that there are three types of Nash equilibria in this game (collusive, Cournot and Stackelberg). Our experiments test the selection process. We find that there is clear evidence of convergence to an equilibrium, and whilst both Cournot and collusive outcomes were selected, the collusive equilibrium is more common. The experimental results also give insights into the process of individual learning, confirming that subjects follow aspiration rules rather than reinforcement rules.     

Information Advantage in a Public Good Economy with Multiplicative Structure of Utilities

This paper extends results on information advantage in Cournot oligopoly to a public good economy with uncertainty and private information where the state‐dependent utilities have a multiplicative structure. We show that in a Bayesian–Nash equilibrium where consumers’ contributions are positive in all states of nature, a consumer with superior information is rewarded with a higher ex ante expected utility. Our counter example shows that in the case where one consumer does not contribute, information disadvantage might emerge. Thus, the interiority assumption is essential to obtain our results.     

The Political Economy of the (Weak) Enforcement of Indirect Taxes

The objective of this paper is to understand the determinants of the enforcement level of indirect taxation in a positive setting. We build a sequential game where individuals, who differ in their willingness to pay for a taxed good, vote over the enforcement level. Firms then compete à la Cournot and choose the fraction of sales taxes to evade. We assume in most of the paper that the tax rate is set exogenously. Voters face the following trade‐off: more enforcement not only increases tax collection but also increases the consumer price of the goods sold in an imperfectly competitive market. We obtain that the equilibrium enforcement level is the one most preferred by the individual with the median willingness to pay, that it is not affected by the structure of the market (number of firms) and the firms’ marginal cost, and that it decreases with the resource cost of evasion and with the tax rate. We also compare the enforcement level chosen by majority voting with the utilitarian level. In the last section, we endogenize the tax rate by assuming that individuals vote simultaneously over tax rate and enforcement level. We prove the existence of a Condorcet winner and show that it entails full enforcement (i.e., no tax evasion at equilibrium). The existence of markets with less than full enforcement then depends crucially on the fact that tax rates are not tailored to each market individually.     

Employee share ownership in a unionised duopoly

Profit sharing schemes have been analysed assuming Cournot competition and decentralised wage negotiations, and it has been found that firms share profits in equilibrium. This paper analyses a different remuneration system: employee share ownership. We find that whether firms choose to share ownership or not depends on both the type of competition in the product market and the way in which workers organise to negotiate wages. If wage setting is decentralised, under duopolistic Cournot competition both firms share ownership. If wage setting is centralised, only one firm shares ownership if the degree to which goods are substitutes takes an intermediate value; otherwise, the two firms share ownership. In this case, if the union sets the same wage for all workers neither firm shares ownership. Therefore, centralised wage setting discourages share ownership. Finally, under Bertrand competition neither firm shares ownership regardless of how workers are organised to negotiate wages.     

Information sharing about a demand shock

This paper examines two questions in asymmetric Cournot and Bertrand oligopoly with a demand shock. Under which conditions is information sharing a subgame-perfect equilibrium? What is the welfare effect when firms are better off? Given these questions, the normal assumptions in the earlier literature can be relaxed in three ways: demand functions can be asymmetric; a demand shock can affect firms differently; distributions of the demand shock and information signals can be arbitrary. Under these general assumptions, the answer to the first question is: every firm's response to the demand shock is stronger when all firms have perfect information than when one firm does so alone; the answer to the second question is: social welfare increases in Cournot competition, and consumer surplus decreases in Bertrand competition.     

Heterogeneity of consumer preferences and trade patterns in a monopolistically competitive setting

The paper considers a two-sector two-country trade model of monopolistic competition featuring the heterogeneity of consumer preferences and incomes within and across countries. The incorporation of heterogeneity into a monopolistic competition setting is achieved by assuming a nested Cobb–Douglas and CES utility function exhibiting both country and sector-specific consumer tastes and expenditure shares on manufacturing and traditional goods. The key question analyzed in the paper is how consumer heterogeneity affects the home bias of trade in different countries. The key finding here is that the heterogeneity in tastes and incomes of consumers can provide a substantial influence on degree of home bias in trade but only in combination with high transportation costs.     

On the paradoxical case of a consumer-based environmental subsidy policy

We apply an environmentally differentiated duopoly model to the analysis of environmental policy involving consumer subsidies based on the emission levels of the products consumers purchase. More specifically, we consider the environmental and welfare effects of subsidizing consumers who purchase environmentally friendly goods in the case of a partially covered market with a Cournot duopoly. We show that, paradoxically, the subsidy policy degrades the environment, and that the optimal policy depends on the degree of marginal social valuation of environmental damage. That is, if the marginal social valuation of environmental damage is larger than a certain value, a consumer-based environmental subsidy policy is not socially optimal.     

Controls of the complex dynamics of a multi-market Cournot model

In this paper, a multi-market Cournot game is proposed based on a specific inverse demand function. The game is studied statically and dynamically. Puu's incomplete information approach, as a realistic method, is used to contract the corresponding dynamical model under this function. Therefore, some stability analysis is carried out on the model to detect the stability and instability conditions of the system's Nash equilibrium. Based on that analysis some dynamic phenomena such as bifurcation and chaos are found. Under certain assumption, chaos control is performed in order to control the monopolistic model. Furthermore, a dynamic multi-market Cournot model is introduced.     

Duopoly Competition with Corporate Social Responsibility

This paper highlights the effect of firms’ position on firms’ strategies with corporate social responsibility (CSR) practices under three different cases: Cournot competition; Stackelberg competition with the CSR firm taking the leader position and turnover, with the profit maximising (PM) firm playing as the leader. Some interesting conclusions are achieved. First, the CSR firm always produces more than the PM firm. Second, the outputs of both firms (the consumer surplus) under the PM firm's leading position are larger than those under Cournot. Third, the profits of both firms (producer surplus) under the PM firm playing the leading position are less than those under Cournot. Surprisingly, when the PM firm first moves, the PM firm's profits are the lowest while the CSR firm's outputs are the highest in all three cases. Finally, the relationship of social welfare under the three cases is ambiguous.     

Efficiency and surplus bounds in Cournot competition

We derive bounds on the ratios of deadweight loss and consumer surplus to producer surplus under Cournot competition. To do so, we introduce a parameterization of the degree of curvature of market demand using the parallel concepts of ρ-concavity and ρ-convexity. The “more concave” is demand, the larger the share of producer surplus in overall surplus, the smaller is consumer surplus relative to producer surplus, and the lower the ratio of deadweight loss to producer surplus. Deadweight loss over total potential surplus is at first increasing with demand concavity, then eventually decreasing.