Choosing price or quantity? The role of delegation and network externalities

We consider a differentiated duopoly and endogenise the firm choice of the strategy variable (price or quantity) to play on the product market in the presence of network externalities. We model this choice by assuming both competition between entrepreneurial (owner-managed) firms and competition between managerial firms in which market decisions are delegated from owners to revenue-concerned managers. While network externalities are shown not to alter the symmetric equilibrium quantity choice arising in the no-delegation case, sufficiently strong network effects allow us to eliminate the multiplicity of equilibria under delegation and lead to a unique equilibrium in which both firms choose price.     

On the Strategic Use of Representative Democracy in International Agreements

We consider as endogenous the choice of the delegation rule in an international agreement between two countries. We study three potential types of delegation: strong, weak or no delegation, the latter case corresponding to direct democracy. We show that populations decide to bind themselves by delegating the national policy decision-making to a "powerful conservative representative," in order to improve their bargaining position. These noncooperative behaviors of countries when they decide on their delegation rule induce negative political externalities between countries, which cancel the gains achieved by the internalization of economic externalities in the case of political integration. We then examine the consequences of ratification by referendum. We conclude that a Pareto improvement of the international agreement would be to incorporate an ex post referendum.     

Pollution in strategic multilateral exchange: Taxing emissions or trading on permit markets?

We introduce polluting emissions in a sequential noncooperative oligopoly model of bilateral exchange. In one sector, a leader and a follower use polluting technologies which create negative externalities on the payoffs of strategic traders who belong to the other sector. By modeling emissions as a negative externality, we show that the leader pollutes more (less) than the follower when strategies are substitutes (complements). Then, we consider the implementation of public policies to control the levels of emissions, namely, two taxation mechanisms and a permit market. We study the effects of these public policies. Moreover, we determine the conditions under which these public policies can implement a Pareto-improving allocation.     

COMPETITION,REGULATION AND WELFARE IN THE PRESENCE OF NETWORK EXTERNALITIES*

In this paper we consider a simple model of an industry with network externalities, where a benefit to each consumer from network services depends on the size of the network. We first consider a single network and cover the cases with and without fixed cost of entry. We then turn to the two‐network industry, where the incumbent network and a new entrant network compete for the market and may differ both in their marginal costs and demand structures. In addition, we identify several situations where public policy may play a crucial role in sustaining socially advantageous network service provision.     

Optimal product strategies in the presence of network externalities

A network externality exists when a user’s benefit from a product increases with the number of other users in the same network. We examine the possibility that a software firm may exploit network externalities by introducing a limited feature version of its commercially available software into the market. The two versions need not be perfectly compatible and network externalities are allowed to decline as the difference between the versions increases. We obtain conditions under which introducing a limited feature version is optimal.     

THE EXISTENCE OF EQUILIBRIUM IN A DIFFERENTIATED DUOPOLY WITH NETWORK EXTERNALITIES*

The existence of a pure‐strategy subgame‐perfect equilibrium in qualities and prices is investigated in a duopoly model of vertical differentiation where quality improvements require a quadratic variable cost and network externalities operate. We show that there exists a parameter region where the incentive to predate at the quality stage prevents firms from reaching a pure‐strategy non‐cooperative equilibrium with prices above marginal costs. If network externalities are sufficiently large, a Bertrand equilibrium with zero profits may arise, although the amount of product differentiation is strictly positive.     

GROWTH AND BUBBLES WITH CONSUMPTION EXTERNALITIES*

This paper explores the role of consumption externalities in an overlapping generations economy with capital accumulation. If consumers in each generation are concerned with other agents’ consumption behaviours, there exist intergenerational as well as intragenerational consumption externalities. It is the presence of intergenreational consumption externalities that may produce fundamental effects both on equilibrium dynamics and on steady‐state characterization of the economy. This paper demonstrates this fact in the context of a simple model of endogenously growing, overlapping‐generations economy with or without asset bubbles.     

Optimal taxation, global externalities and labor mobility

This paper concerns transboundary environmental problems in the context of an optimal tax model. We assume that part of the labor force is mobile across countries, and that the set of tax instruments includes a nonlinear income tax and a commodity tax on the ‘dirty’ good that is causing damage to the environment. The purpose is to compare the (globally optimal) second best policy of a cooperative equilibrium with the policy implicit in a noncooperative equilibrium. We show that the commodity taxes differ between equilibria because of: (i) transboundary externalities not internalized by national governments, (ii) interaction effects between environmental and other policies, and (iii) labor mobility.     

Two-part tariffs in the online gaming industry: The role of creative destruction and network externalities

Playing computer games online is a fast growing, billion dollar industry which has received little academic attention. The industry exhibits a number of interesting economic features. The industry structure is determined by creative destruction as in Aghion and Howitt (1992) [Aghion, P., Howitt, P. 1992. A model of growth through creative destruction, Econometrica, 60(2), 323–351], with game makers experiencing market power within a genre until the game is superceded. Furthermore, the attractiveness of playing a game online depends on the existence of opponents (positive network externalities) while technical and reputational problems eventually arise (negative network externalities). We model the choice of two-part tariffs by a monopolist under creative destruction and network externalities and derive conditions for the multiple equilibria which currently exist in the industry.     

Leviathan and Capital Tax Competition in Federations

This paper analyzes a simple model of taxation in a federal system within which policymakers are revenue–maximizing Leviathans and fiscal externalities arise not only horizontally, across the "states," but also vertically between levels of government. Such an economy is characterized by excessively high taxation in the noncooperative equilibrium. Intensifying horizontal competition, by increasing the number of states, unambiguously increases revenues (contrary to the Leviathan wisdom) but nevertheless enhances consumer welfare (consistent with the Leviathan wisdom). Revenue sharing arrangements between policymakers are shown to be—contrary to the Leviathan wisdom—Pareto improving.     

Core-stable rings in auctions with independent private values

We propose a semi-cooperative game theoretic approach to check whether a given coalition is stable in a Bayesian game with independent private values. The ex ante expected utilities of coalitions, at an incentive compatible (noncooperative) coalitional equilibrium, describe a (cooperative) partition form game. A coalition is core-stable if the core of a suitable characteristic function, derived from the partition form game, is not empty. As an application, we study collusion in auctions in which the bidders? final utility possibly depends on the winner?s identity. We show that such direct externalities offer a possible explanation for cartels? structures (not) observed in practice.     

Biased managers with network externalities

In network industry under Cournot and Bertrand competition, we examine a model when owners of firms hire biased managers who have incorrect market demand. Contrast to previous studies, we show that (i) regardless of the strength of network externalities when consumers form the responsive and passive expectations, owners realize strategic advantage by hiring biased managers to be more aggressive under Cournot and Bertrand competition, (ii) firms prefer facing passive expectations for the weak network externalities and vice versa for the strong network exteranlities under Bertrand and Cournot competition, (iii) if the network size is sufficiently large, then the prisoner's dilemma that firms hire aggressive managers no longer exists under both competition modes. As with no delegation case, we obtain the different rankings of firms' profit depending on both network externalities and forming of expectations under Cournot and Bertrand competition.     

Health spending,savings and fertility in a lifecycle‐dynastic model with longevity externalities

We investigate health spending, savings, fertility and policy implications in a lifecycle‐dynastic model with longevity externalities in annuity returns. We show that such externalities engender not only excessive health spending but also under‐saving and excessive fertility. Social security and health subsidization increase health spending and savings but reduce fertility from laissez‐faire levels. A publicly funded universal health system under labour‐income taxation raises fertility. Taxing health spending or using social security and public health together can obtain socially optimal health spending, savings, longevity and fertility. Numerical results based on US observations suggest substantial variations among these cases, especially in old‐age health spending.     

A "Tragedy of the Clubs": Excess Entry in Exclusive Coalitions

We model club formation as a noncooperative game of coalition formation and surplus division. We show how social norms and individual rationality sustain a particular type of collective inefficiency, namely, excessive entry in the joint production and exploitation of an excludable good. We term this phenomenon the "tragedy of the clubs." The tragedy of the clubs is a pervasive equilibrium phenomenon.     

Networks and clubs

We formulate a club model where players’ have identical single-peaked preferences over club sizes as a network formation game. For situations with “many” clubs, we provide necessary and sufficient for non-emptiness of the farsighted core and the direct (or myopic) core. With “too few” clubs, if players are farsighted then the farsighted core is empty. In this same case, if players are myopic then the direct core is always nonempty and, for any club network in the direct core, clubs are of nearly equal size (i.e., clubs differ in size by at most one member).     

EFFICIENCY EFFECTS OF CHANGES IN COMMONWEALTH GRANTS TO THE STATES: A CGE ANALYSIS*

This paper describes CSF, a general equilibrium model encompassing factors of relevance to economic efficiency in Federal/State funding including: interstate differences in tax bases and unit costs of State‐provided goods; factor mobility; congestion; State‐government behaviour incorporating the possibility that governments in subsidised States embark on expenditures with low benefit/cost ratios (flypaper effects); fiscal externalities; and non‐discretionary expenditures in each State associated with special national responsibilities. The model is applied to Australia where Federal/State funding is a major political and economic issue. Welfare effects of moving from the present Australian funding system based on fiscal equalisation to a system of equal‐per‐capita grants are calculated. CSF implies that the welfare gain from this move would be small. The most important source of potential welfare gain is a reduction in flypaper effects. The recognition of congestion externalities can eliminate the small welfare gain, but only under seemingly extreme assumptions. The results are not very sensitive to variations in assumptions concerning population mobility and fiscal externalities.     

DUALITY WITH SECTOR‐SPECIFIC EXTERNALITIES UNDER SOCIAL CONSTANT RETURNS*

We develop dual approaches to quantity and price relationships of production in a general multisectoral model with sector‐specific externalities. The production of each good exhibits socially constant returns to scale but privately decreasing returns. We find that the Stolper‐Samuelson theorem holds for factor intensity ranking from the social perspective and that the Rybczynski theorem holds for factor intensity ranking from the private perspective. The price‐output dual fails to hold in general. Moreover, we re‐establish the Heckscher‐Ohlin theorem in the two‐sector case, as well as the factor endowment–factor price and price‐output comparative statics in the high‐dimension case under proper conditions.     

The Division and Size of Gains from Liberalization in Service Networks*

If two disjoint country service networks involving a small and large country are connected as part of international liberalization in the presence of network externalities, the per capita gain for the small country from access to a large network will be large, and the per capita gain for the large country will be small. In contrast to goods, the benefits of liberalization in network‐related services are more likely to be approximately equally divided between large and small countries than is true of trade in goods, where benefits accrue disproportionately to the small country. We also argue that non‐cooperation in network‐related services trade may involve more extreme retaliation than suggested for trade in goods by the optimal tariff literature, so that relative to a non‐cooperative outcome, gains from liberalization in network‐related services become larger than from liberalization in goods. We develop simple models which we use for numerical examples showing these points, along with an empirical implementation for global telecoms liberalization for the US, Europe, Canada, and the rest of the world using the framework developed in the paper. This shows similar proportional gains to regions, consistent with the theme of the paper that goods and services liberalization differ.     

Walrasian equilibria as limits of noncooperative equilibria. Part II: Pure strategies

We examine the connection between Walrasian equilibria of a limit economy (with infinitesimal firms) and noncooperative (Cournot) equilibria of approximating finite economies (with significant firms). Nonconvex production sets, decreasing returns in the aggregate, and endogenous determination of the number of active firms are allowed. A Walrasian equilibrium is a limit of pure strategy noncooperative equilibria only if a condition (loosely analogous to downward sloping demand in the partial equilibrium constant returns to scale case) holds. The condition is also sufficient to guarantee the existence of a robust sequence of pure strategy noncooperative equilibria which converges to the Walrasian equilibrium.     

Profitability of corporate social responsibility in network industries

The present paper shows that, when firms compete in a non-cooperative way on the level of corporate social responsibility (CSR) in network industries, the conventional result of the prisoner’s dilemma structure of the game in standard industries—i.e. to have social concerns is the Nash equilibrium, but it is harmful for firms’ profits—vanishes and, for sufficiently intense network externalities, the equilibrium in which both firms have social concerns is more profitable than simple profit-seeking. Moreover, we show that—when firms cooperate in choosing the profit-maximising level of social concerns—a profit-maximising CSR level does exist, provided that network effects are sufficiently strong. Therefore, in network industries, firms may obtain higher profits engaging in—cooperatively as well as non-cooperatively—CSR activities, showing that firms’ social concerns may be motivated by the owners’ selfish behaviour. Finally, a counter-intuitive result as regards consumer’s surplus and social welfare is obtained: those are always higher under competitive than cooperative choice of CSR because the level of CSR activities is higher in the former case. However, given that firms gain their largest profits with the cooperative choice of CSR, a Pareto-superior outcome is not reached.