Endogenous Timing in a Mixed Duopoly: Price Competition

The endogenous order of moves is analyzed in a mixed duopoly for differentiated goods, where firms choose whether to set prices sequentially or simultaneously. It is shown that, in contrast to the private duopoly where firms set prices sequentially, in the mixed duopoly firms choose prices simultaneously. Moreover, the result obtained in the mixed duopoly under price competition differs from the one under quantity competition, since in the latter case decisions are taken sequentially.      

Media Plurality: Private versus Mixed Duopolies

In this paper, we analyze the level of media plurality in a market with two private news firms (private duopoly) and in a market with a private news firm and a public news firm (mixed duopoly). In the private duopoly news firms maximize profits. In the mixed duopoly, the private news firm maximizes profits, while the public news firm maximizes social welfare. We show that, in spite of the public news firm maximizing social welfare, neither media plurality nor social welfare needs to be higher under the mixed duopoly compared with the private duopoly. This will depend on the relation between the costs of adapting news to readers' political preferences, the intensity of the readers' political preferences, and the size of the advertising market.     

Leadership and Privatisation in a Mixed Multi‐product Oligopoly: An Endogenous Timing Model

This paper examines both leadership choice and welfare consequences of privatisation in an endogenous timing mixed multi‐product oligopoly. It shows that a multi‐product firm undermines the welfare‐maximising efforts of a public firm by cross‐subsidising. The paper demonstrates that a unique subgame perfect Nash equilibrium emerges in a multi‐product market, in contrast to the multiple equilibria of a single‐product market. This unique equilibrium indicates that profit‐maximising private firms retain leadership while a welfare‐maximising public firm acts as a follower. Even on the off‐equilibrium path where the public firm acts as a leader, it rarely generates maximum social welfare. However, privatising the public firm usually harms social welfare and results in a different timing structure in equilibrium.     

Endogenous Timing in a Mixed Oligopoly with Foreign Competitors: the Linear Demand Case

We introduce foreign private firms into the model of Pal (1998) and investigate the impact of the introduction of foreign private firms on the endogenous timing in a mixed oligopoly in the linear demand case. We find that the public firm chooses to be a follower of all domestic private firms and that the public firm chooses not to be a leader of all foreign private firms, which is in contrast to Matsumura (2003).     

Endogenous Timing in Strategic Environmental Policymaking

In this paper, we endogenize the timing of policymaking in a simple two-country model of strategic environmental policy. We consider a timing game in which two policymakers non-cooperatively decide their preferred sequence of moves before setting emission tax rates. We show that whether the policymakers implement emission tax policies simultaneously or sequentially crucially depends on the magnitude of environmental damages. When the damages are insignificant, the tax rates are strategic substitutes, and the simultaneous-move policymaking emerges in equilibrium. In contrast, when the damages are significant, the tax rates are strategic complements, and sequential-move policymaking emerges. We also extend the model by allowing for differences in the vulnerability to environmental damages between countries. When the differences are large, the unique equilibrium of the game is the situation where the less vulnerable country acts as a leader. In the case where multiple equilibrium emerges, the risk-dominant equilibrium is also that where the less vulnerable country leads.     

Commitment Robust Equilibria and Endogenous Timing

This paper investigates which equilibria of a game are still viable when players have the opportunity to commit themselves. To that end we study a model of endogenous timing in which players face the trade-off between committing early and moving late. It is shown that mixed (resp. pure) equilibria of the original game are subgame perfect (resp. persistent) in the timing game only when no player has an incentive to move first. Consequently, mixed equilibria are viable only if no player has an incentive to move first. One needs strong evolutionary solution concepts to draw that conclusion for pure equilibria.Journal of Economic LiteratureClassification Number: C72.     

Collusion in Differentiated Duopolies with Quadratic Costs

The analysis of collusion in infinitely repeated duopoly games has generally assumed that marginal cost is constant, but this note uses quadratic costs (linear marginal costs) to compare the sustainability of collusion under Bertrand and Cournot duopoly with differentiated products. It is shown that when marginal costs are sufficiently increasing in output, then it is always easier to sustain collusion under Cournot duopoly than under Bertrand duopoly for any degree of product substitutability.     

Endogenous Timing with Incomplete Information and with Observable Delay

This paper analyzes endogenous timing in a duopoly model with incomplete information. Firms announce the period in which they will move before choosing an action and are then committed to their choices. Endogenous Stackelberg equilibria, with either the informed or the uninformed firm as the Stackelberg leader, may emerge. For most parameters, the Cournot equilibrium in the first production period results endogenously. Journal of Economic Literature Classification Numbers: C72; C73; D82; L10.     

内生时机选择下国有和外资银行的利率竞争

结合中国银行业的背景,本文建立了国有和外资银行以利率为决策变量的 Bertrand 和 Stackelberg 混合寡占模型,并以内生时机选择为思路,前瞻性地探讨了国有和外资银行的竞争格局和时机选择问题.研究发现:(1)在一定参数范围内,国有银行较外资银行有更低的存款利率.在国有化程度较小时,Bertrand下的国有银行利润大于其作为领导者的利润;(2)在国有银行做领导者的利率竞争中,国有和外资银行存款利率会随着国有化程度及二者存款收益的增加而上升;(3)在私有化程度很高且二者存款收益相等时,利率竞争扩展博弈的SPNE是国有银行领先,外资银行跟随.     

Naive Reinforcement Learning With Endogenous Aspirations

This article considers a simple model of reinforcement learning. All behavior change derives from the reinforcing or deterring effect of instantaneous payoff experiences. Payoff experiences are reinforcing or deterring depending on whether the payoff exceeds an aspiration level or falls short of it. Over time, the aspiration level is adjusted toward the actually experienced payoffs. This article shows that aspiration level adjustments may improve the decision maker's long-run performance by preventing him or her from feeling dissatisfied with even the best available strategies. However, such movements also lead to persistent deviations from expected payoff maximization by creating 'probability matching' effects.     

To Commit or Not to Commit: Endogenous Timing in Experimental Duopoly Markets

In this paper we experimentally investigate the extended game with action commitment of Hamilton and Slutsky (1990, Games Econ. Behavior2, 29–46). In their duopoly game firms can choose their quantities in one of two periods before the market clears. If a firm commits to a quantity in period 1, it does not know whether the other firm also commits early. By waiting until period 2, a firm can observe the other firm's period-1 action. Hamilton and Slutsky predicted the emergence of endogenous Stackelberg leadership. Our data, however, do not confirm the theory. While Stackelberg equilibria are extremely rare, we often observe endogenous Cournot outcomes and sometimes collusive play. This is partly driven by the fact that endogenous Stackelberg followers learn to behave in a reciprocal fashion over time, i.e., they learn to reward cooperation and to punish exploitation. Journal of Economic Literature Classification Numbers: C72, C92, D43.     

A Mixed Duopoly With Switching Costs

We examine the effects of switching costs in a two‐period Hotelling‐type model where a profit‐maximising private firm competes with a welfare‐maximising public firm. We show that, in contrast with the case in which both firms are private, where switching costs raise prices in both periods, in the mixed duopoly they raise prices in the second period but reduce them in the first period. Moreover, the first‐period price reduction is of such magnitude that switching costs reduce firms’ profits and raise consumer welfare. We also find that switching costs affect the consequences of privatisation in favour of firms and against consumers.     

Estimation of Binary Response Models With Endogenous Regressors

This paper reviews six approaches to binary response (y₁) structural forms with an endogenous regressor y₂: (i) the two‐stage least squares estimator‐like substitution approach, (ii) the control function approach, (iii) the system reduced‐form approach, (iv) the artificial instrumental regressor approach, (v) the transformed‐response instrumental variable estimator approach and (vi) the classical maximum likelihood estimator approach. The applicability of the six methods differs greatly, depending on whether y₂ is a continuously distributed random variable or a discrete transformation of a latent . We conduct a real‐data‐based simulation study, and provide an empirical illustration. Our overall recommendation is using (i) and (ii), as the others have undesirable features such as analytic complexity in (iii), computational difficulty in (iv) and (vi), and poor finite‐sample performance in (v).     

Endogenous Timing in a Strategic Trade Policy Game: A Two-Country Oligopoly Model with Multiple Firms

This paper examines strategic trade policy games where the number of firms in the importing and exporting countries differs and all firms play as Cournot oligopolies. Under the assumption of linear demand and constant marginal cost, we show that, if the number of firms in the exporting country exceeds that in the importing country by more than three, the government of the exporting country chooses to move as a leader, imposing an export tax on firms. The government of the importing country then becomes a follower and imposes an import tariff. This lies contrary to the previous study, which assumed that there is only one firm in each country.     

Geography and Demography: New Economic Geography With Endogenous Fertility

To explain the links between demographics and economic integration, we construct a new economic geography model with endogenous fertility. Labour mobility across regions results in more people flowing into highly populated regions, but lowers fertility rates there. Finally, regions are divided into one very large region with a higher real wage and another small region with a lower real wage, a higher fertility rate and a supply of workers to the large region. The population growth path resembles a logistic curve in the early phase, but population decreases in the last phase. Economic integration leads to population concentration and decreases population size.     

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.     

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.     

Fiscal and Monetary Policy Interactions in an Endogenous Growth Model With Financial Intermediaries

This paper presents a framework that can help reconcile conflicting findings in the growth-inflation literature. Here, the behavior of financial intermediaries plays a crucial role in the determination of the economy's inflation and real growth rates. Absent any restrictions on financial intermediation, there will be a unique equilibrium when agents are fairly risk averse. In this case, an increase in seigniorage-financed government spending will always be inflationary and detrimental to growth. When agents exhibit a low degree of risk aversion, multiple equilibria emerge and a positive relation between inflation and growth à la Tobin can be observed.     

Taxation In The Two‐Sector Neoclassical Growth Model With Sector‐Specific Externalities And Endogenous Labour Supply*

This paper examines the long‐run impacts of selective (or sector‐specific) commodity, payroll, and profit taxes in a two‐sector endogenous growth model with sector‐specific production externalities, in which one sector produces consumption goods and the other produces investment goods. The novelty of the model is that it allows not only for endogenous labour supply but also for the intersectoral allocation of resources, which may together lead to indeterminacy. We analytically show that the stability properties of the long‐run equilibrium critically affect the long‐run effects of these selective taxes, which may reverse the standard results of the growth effects of distortionary taxes.     

Do Antitrust Laws Facilitate Collusion? Experimental Evidence on Costly Communication in Duopolies*

Bertrand supergames with non‐binding communication are used to study price formation and stability of collusive agreements on experimental duopoly markets. The experimental design consists of three treatments with different costs of communication: zero‐cost, low‐cost and high‐cost. Prices are found to be significantly higher when communication is costly. Moreover, costly communication decreases the number of messages, but more importantly, it enhances the stability of collusive agreements. McCutcheon (1997) presents an interesting application to antitrust policy by letting the cost of communication symbolize the presence of an antitrust law that prohibits firms from discussing prices. Although our experimental results do not support the mechanism of McCutcheon's (1997) argument, the findings point in the direction of her prediction that antitrust laws might work in the interest of firms.