The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining

This paper compares Cournot and Bertrand equilibria in a downstream differentiated duopoly in which the input price (wage) paid by each downstream firm is the outcome of a strategic bargain with its upstream supplier (labor union). We show that the standard result that Cournot equilibrium profits exceed those under Bertrand competition - when the differentiated duopoly game is played in imperfect substitutes - is reversible. Whether equilibrium profits are higher under Cournot or Bertrand competition is shown to depend upon the nature of the upstream agents’ preferences and on the distribution of bargaining power over the input price. We find that the standard result holds unless unions are both powerful and place considerable weight on the wage argument in their utility function.     

Mixed pricing in oligopoly with limited monopoly

We analyze price competition between two brands. Buyers consist of switchers and two segments of customers with limited brand loyalty. We identify a unique symmetric mixed-strategy price equilibrium and find that competition is most relaxed when there exists some switchers.     

Softening competition through forward trading

In the history of alleged manipulations on forward markets, it has been observed that high prices resulted from a cartel's long positions. The present paper addresses this issue in a simple model of price setting duopolists. We show that forward trading results in producers buying forward their own production, so that equilibrium prices are increased compared to the case without forward trading. This result contrasts with the social desirability of forward markets emphasized by the academic literature.     

The impact of bargaining on markets with price takers: Too many bargainers spoil the broth

In this paper we study how bargainers impact on markets in which firms set a list price to sell to those consumers who take prices as given. The list price acts as an outside option for the bargainers, so the higher the list price, the more the firms can extract from bargainers. We find that an increase in the proportion of consumers seeking to bargain can lower consumer surplus overall, even though new bargainers receive a lower price. The reason is that the list price for those who do not bargain and the bargained prices for those who were already bargaining rise: sellers have a greater incentive to make the bargainers’ outside option less attractive, reducing the incentive to compete for price takers. Competition Authority exhortations to bargain can therefore be misplaced. We also consider the implications for optimal seller bargaining.     

Managerial incentives and collusive behavior

I characterize the effects of empirically observed managerial incentives on long-run oligopolistic competition. When managers have a preference for smooth time-paths of profits - as revealed by the empirical literature on “income smoothing” - manager-led firms can sustain collusive agreements at lower discount factors. Capped bonus plans and incumbency rents with termination threats make collusion supportable at any discount factor, independent of contracts' duration. When managers have these preferences/incentives and demand fluctuates, “price wars during booms” need not occur: the most collusive price may then be pro-cyclical.     

Networks of knowledge among unionized firms

Abstract.  We develop a model of strategic networks in order to analyze how trade unions will affect the stability of R&D networks through which knowledge is transmitted in an oligopolistic industry. Whenever firms settle wages, the partially connected network is likely to emerge in the long run if and only if knowledge spillovers are large enough. However, when unions settle wages, the complete network is the unique stable network. In other words, the stronger the union bargaining power is, the more symmetric stable R&D networks will be. In terms of network efficiency, the partially connected network (when firms settle wages) does not Pareto dominate the complete network (when unions settle wages) and vice versa.     

Tariffs, licensing and market structure

This paper challenges the conventional wisdom that exclusive owners of an advanced technology are always better off when producing as a monopolist than when competing against another firm. Competition against a less-efficient firm weakens the power that a host country can exert on the incumbent in the form of its tariff policy. We show that this gives a motive for a monopolist to license its technology to another foreign firm. A host country gains more from increased competition if it can induce the foreign incumbent to transfer technology to the host country firm. We show that the host country can do so by tariff commitment. We also discuss the implications of bargaining under licensing and Bertrand competition in the product market. Hence, this paper qualifies and extends the recent work of Kabiraj and Marjit [Protecting consumers through protection: The role of tariff-induced technology transfer. European Economic Review 47, 113-124].     

Protecting consumers through protection: The role of tariff-induced technology transfer

We consider a duopolistic trade model where a tariff induces the foreign firm to transfer its superior technology to the domestic rival. Contrary to the conventional wisdom, such a tariff raises consumers’ surplus relative to the free trade situation. We characterize the optimal tariff with and without precommitment on the part of the local government. Possibility of technology transfer reduces the optimal tariff rate compared to the no-transfer situation.     

Monopolistic competition and income dispersion

We develop a model of monopolistic competition that accounts for consumers’ heterogeneity in both incomes and preferences. This model makes it possible to study the implications of income redistribution on the toughness of competition. We show how the market outcome depends on the joint distribution of consumers’ tastes and incomes and obtain a closed-form solution for a symmetric equilibrium. Competition toughness is measured by the weighted average elasticity of substitution. Income redistribution generically affects the market outcome, even when incomes are redistributed across consumers with different tastes in a way such that the overall income distribution remains the same.     

Unilateral effects of mergers with general linear demand

We derive the formula for the unilateral price effects of mergers of two products with linear demand in the general asymmetric situation. The formula uses the same information required to calculate upward pricing pressure in the 2010 Horizontal Merger Guidelines.     

Double marginalization and cost pass-through: Weyl–Fabinger and Cowan meet Spengler and Bresnahan–Reiss

Consider the classical double marginalization problem of single-product successive monopolies. We show that the ratio of the cost pass-through at the final sale relative to that at the wholesale level is characterized by the curvature of inverse demand in the final market. We also apply Cowan’s (2012) method, which utilizes the idea of pass-through in an analysis of third-degree price discrimination, to compare consumer surplus under vertical integration and separation.