MULTIPLIER EFFECTS OF PUBLIC SERVICES IN A TWO‐SECTOR MODEL OF MONOPOLISTIC COMPETITION

In a two‐sector model of monopolistic competition, this paper explores what impacts an expansion of government spending on public services has on national income. In the short run where entry and exit of firms are restricted, a rise in government spending on services like health care (which has only a role of substituting for market services) increases national income, but that on services like elderly care (which has not only this role but also another role of contributing to home production of services) decreases it. These results are reversed in the long run. Welfare effects of public services are also examined.     

Comparative statics for oligopoly: A generalized result

We perform comparative statics for a general model of asymmetric oligopoly and derive a concise formula for the response of one firm to a marginal change in its rival’s strategic variable, taking into account the responses of all other firms. We obtain the conditions under which the sign of this response coincides with that of the mixed second-order partial derivative of the firm’s payoff function. We then propose a distinction between gross and net strategic relationships (i.e., strategic substitute and complement).     

The dynamics of a differentiated duopoly with quantity competition

We analyse the dynamics of a Cournot duopoly with heterogeneous players to investigate the effects of micro-founded differentiated products demand on stability. The present study, which indeed modifies and extends Zhang et al. (2007) (Zhang, J., Da, Q., Wang, Y., 2007. Analysis of nonlinear duopoly game with heterogeneous players. Economic Modelling 24, 138–148) and Tramontana, F., (2010) (Tramontana, F., 2010. Heterogeneous duopoly with isoelastic demand function. Economic Modelling 27, 350–357), reveals that a higher degree of product differentiation may destabilise the market equilibrium. Moreover, we show that a cascade of flip bifurcations may lead to periodic cycles and ultimately chaotic behaviours. Since a higher degree of product differentiation implies weaker competition, then a theoretical implication of our findings, that also constitute a policy warning, is that a fiercer (weaker) competition tends to stabilise (destabilise) the unique positive Cournot–Nash equilibrium.     

R&D games in a Cournot duopoly with isoelastic demand functions: A comment

In a recent paper, Tramontana (Economic Modelling, 27; 350-357, 2010) investigates the stability properties of a Cournot Duopoly game when the demand function is isoelastic. In this note, we show that for some well known applications of two-stage Cournot games (D. Aspremont and Jacquemin, American Economic Review, 78, 1122-1137, 1988) an isoelastic demand function can guarantee both the existence and the uniqueness of a Nash Equilibrium even in cases where existence is not obtained with linear demands.     

Selling licences for a process innovation: the impact of the product market on the selling mechanism

Abstract.  This article considers the sale by a research lab of licences for a cost-reducing innovation. The marginal cost of a firm that wins a licence is private information and the acquisition of a licence imposes a negative externality on the other firms. The lab's optimal revenue is determined from a class of mechanisms in which the lab selects the number of licences and the reserve price before the sale. The role of the downstream product market in the determination of the number of licences is analyzed. Furthermore, it is also shown that the optimal reserve price may be zero.     

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.     

Bertrand equilibrium with subadditive costs

We show here, in contrast to recent results, that if firms have different cost functions (that are strictly subadditive), such that the ‘monopoly breakeven prices’ are different, then in a homogeneous product duopoly there is always a Bertrand equilibrium (either in pure strategies or in mixed strategies).     

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.     

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.     

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].     

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.