An analysis of the process generating de facto standards in the PC spreadsheet software market

This paper develops a model to analyze the emergence of de facto or market defined compatibility standards in the market for PC spreadsheet software over the period 1982–1988. The model is capable of integrating diverse fragments of empirical evidence and a number of important theoretical building blocks, in particular the analysis of gateways between different versions of the same package, product preannouncements, and diverse consumer tastes towards intrinsic quality and network externalities. The model also explores the implications of different functional forms for the relationship between installed base and the value of network externalities. The paper finds that at least some enhancements to the basic model of standards have to be incorporated to offer a reasonable approximation to developments in the PC spreadsheet software market. The simplest model of de facto standards is not able to describe developments in this market.     

The welfare effect of quality degradation in the presence of network externalities

This paper examines how the presence of network externalities affects a monopolist's incentive for quality degradation and its welfare consequence. The software and Internet service industries provide our primary motivation. The network externality may lead to a Pareto-improving quality degradation that would not be realised in the absence of network externalities. However, it may also overturn a potentially Pareto-improving quality degradation to a welfare-reducing one, or result in the realisation of a welfare-reducing quality degradation that would be avoided without network externalities. We also endogenise the firm's forward and backward compatibility decisions between the original and degraded goods.     

Implementation by Iterative Dominance and Backward Induction: An Experimental Comparison

We report experimental results on the relative performance of simultaneous and sequential versions of the Abreu-Matsushima mechanism. Under the simultaneous version, subjects typically use undominated strategies, but apply only a limited number of iterations of dominance. Consequently the unique strategy surviving iterative elimination of strictly dominated strategies is rarely observed. Under the sequential version, subjects also typically use undominated strategies, but apply only a limited number of steps of backward induction. Thus the backward induction outcome is also rarely observed. The sequential version results in fewer observed outcomes corresponding to the predicted outcome than the simultaneous version. Journal of Economic Literature Classification Number(s): C72, C92.     

Thematic Clubs and the Supremacy of Network Externalities

We explore the issue of minorities' survival in the presence of positive network externalities. We rely on a simple example of thematic clubs to illustrate why and how such survival problems might appear, first considering the case of simple‐network effects (fully anonymous externalities) and then the case of cross‐network effects (type‐dependent externalities). In both cases, the analysis is framed as a simple noncooperative game with a continuum of players and binary action sets. There is a unique and interior Nash equilibrium under mild network effects and two corner equilibria under strong network effects, with one club driven out. A utilitarian planner would accentuate the clustering effects of network externalities, and call for the disappearance of the minority club more often than the noncooperative solution. A simple myopic learning algorithm capturing the progression of network lock‐in effects is studied.     

STRATEGIC R&D AND NETWORK COMPATIBILITY

We analyse the effects of network externalities in strategic R&D competition. We present a model of two firms competing with R&D investments and prices in a differentiated consumer market. Buyers form firm-specific networks which can be compatible. A high degree of compatibility and large spillovers moderate price competition due to weak strategic value of firm-specific networks and R&D investments, respectively. Asymmetry in product qualities brings out network effects that cancel out in conventional symmetric settings. The lower quality firm increases R&D and decreases its price as spillovers or network compatibility is increased. This happens when R&D and firm-specific network size have high strategic value.     

When a Loser Gains: Free Riding in the Innovation of Network Goods

We consider duopolists innovating and producing a good subject to network externalities. If successful in R&D, a firm sells both the old product and the new one. The new product increases the utility of its user; it also generates a higher network externality than does the old product. A firm which fails to innovate nevertheless profits from the success of the rival: the network effect raises the value of the old product it still produces. A firm free-rides on the innovative efforts of another firm, reducing the incentives of any firm to innovate.     

On the role of network externalities in strategic delegation contracts with an industry-wide union

This article analyses the role of network externalities in managerial delegation contracts for differentiated products when the marginal product costs (the wage) are set by an industry-wide union. The results show that, in both Bertrand and Cournot equilibria, each owner offers a profit-oriented incentive scheme to his or her managers by penalizing sales maximization, irrespective of the strength of the network externalities. In the presence of weak network externalities and low product differentiation, firms can obtain higher profits in the equilibrium under Cournot-type quantity competition compared with that under Bertrand-type price competition. Furthermore, the wage chosen by the union is higher in the Cournot than in the Bertrand equilibrium. In the Cournot equilibrium, the wage increases with the strength of the network externalities. However, in the Bertrand equilibrium, there exists a threshold level of the degree of product differentiation.     

Risky arbitrage,asset prices,and externalities

We introduce a no-risky-arbitrage price condition (NRAP) for asset market models allowing both unbounded short sales and externalities such as trading volume. We then demonstrate that NRAP is sufficient for the existence of competitive equilibrium in the presence of externalities. Moreover, we show that if all risky arbitrages are utility increasing, then NRAP characterizes competitive equilibrium in the presence of externalities. We are indebted to an anonymous referee for helpful comments on an earlier version of this paper. Page and Wooders are especially grateful to CERMSEM and EUREQua for their support and hospitality which made possible our collaboration.     

Strategic Complements, Substitutes, and Ambiguity: The Implications for Public Goods

We examine the effect of ambiguity in symmetric games with aggregate externalities. We find that ambiguity will increase/decrease the equilibrium strategy in games with strategic complements/substitutes and positive externalities. These effects are reversed in games with negative externalities. We consider some economic applications of these results to Cournot oligopoly, bargaining, macroeconomic coordination, and voluntary donations to a public good. In particular we show that ambiguity may reduce free-riding. Comparative statics analysis shows that increases in uncertainty will increase donations, to a public good. Journal of Economic Literature C72, D81, H41.     

Effect of piracy on innovation in the presence of network externalities

This paper analyzes the impact of simultaneous increases in piracy (piracy effect) and network externalities (network effect) on R&D investment. A single firm's R&D investment increases (or decreases) if the network effect (or piracy effect) is dominant. With R&D competition, if the firms “significantly” differ with respect to their R&D efficiencies and if the piracy effect dominates the network effect then the less efficient firm's R&D investment increases and that of the more efficient firm's decreases. In this case, the overall probability of successful innovation increases. The reverse holds if the network effect dominates the piracy effect. If the firms are “less” asymmetric then their R&D investment either increases or decreases depending on the relative strengths of the piracy and network effects.     

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.     

Strong comparative statics of equilibria

Some results in the monotone comparative statics literature tell us that if a parameter increases, some old equilibria are smaller than some new equilibria. We give a sufficient condition such that at a new parameter value every old equilibrium is smaller than every new equilibrium. We also adapt a standard algorithm to compute a minimal such newer parameter value and apply this algorithm to a game of network externalities. Our results are independent of a theory of equilibrium selection and are valid for games of strategic complementarities.     

Vertical versus horizontal tax externalities: An empirical test

We study taxation externalities in federations of benevolent governments. Where different hierarchical government levels tax the same base, one can observe two types of externalities: a horizontal externality, working among governments of the same level and leading to tax rates that are too low compared to the social optimum; and a vertical externality, working between different levels of government and leading to suboptimally high tax rates. Building on the model of Keen and Kotsogiannis [Keen, Michael J., Kotsogiannis, Christos, 2002. Does federalism lead to excessively high taxes? American Economic Review 92 (1) 363–370], we derive a discriminating hypothesis to distinguish vertical and horizontal tax externalities based on measurable variables. This test is applied to a panel data set on local taxes in a sample of Swiss municipalities that feature direct-democratic fiscal decision making, so as to maximize the correspondence with the “benevolent” governments of the theory. We find that vertical externalities dominate – they are thus an observed empirical phenomenon as well as a notable extension to the theory of tax competition.     

A Merchant Mechanism for Electricity Transmission Expansion

We propose a merchant mechanism to expand electricity transmission based on long-term financial transmission rights (FTRs). Due to network loop flows, a change in network capacity might imply negative externalities on existing transmission property rights. The system operator thus needs a protocol for awarding incremental FTRs that maximize investors’ preferences, and preserves certain currently unallocated FTRs (or proxy awards) so as to maintain revenue adequacy. In this paper we define a proxy award as the best use of the current network along the same direction as the incremental awards. We then develop a bi-level programming model for allocation of long-term FTRs according to this rule and apply it to different network topologies. We find that simultaneous feasibility for a transmission expansion project crucially depends on the investor-preference and the proxy-preference parameters. Likewise, for a given amount of pre-existing FTRs the larger the current capacity the greater the need to reserve some FTRs for possible negative externalities generated by the expansion changes.     

Vertical product differentiation and two-sided markets

We model platform competition in a market where products are characterized by cross network externalities. Consumers differ in their valuation of these externalities. Although the exogenous set-up is entirely symmetric, we show that platform competition induces a vertical differentiation structure that allows for the co-existence of asymmetric platforms in equilibrium. We establish this result in two set-ups: in the first one platforms commit to prices, in the second one they commit to network sizes.     

Investment decisions and coordination problems in a market with network externalities: An experimental study

We study decision-making and the associated coordination problems in an experimental setting with network externalities. Subjects decide simultaneously in every round how much to invest out of a fixed endowment; the gain from an investment increases with total investment, so that an investment is profitable iff total investment exceeds a critical mass. The game has multiple, Pareto-ranked equilibria; we find that whether first-round total investment reaches critical mass predicts convergence towards the Pareto optimal full-investment equilibrium. Moreover, first-round investments and equilibrium convergence vary with critical mass and group size in a complex way that is explicable by subtle effects of strategic uncertainty on decision making.     

Efficiency Gains from Liberalizing Labor Mobility

In this paper, we quantify the effect of a complete liberalization of cross‐border migration on the world GDP and its distribution across regions. We build a general equilibrium model, endogenizing bilateral migration and income disparities between and within countries. Our calibration strategy uses data on effective and potential migration to identify total migration costs and visa costs by education level. Data on potential migration reveal that the number of people in the world who have a desire to migrate is around 400 million. This number is much smaller than that predicted in previous studies, and reflects the existence of high “incompressible” migration costs. In our benchmark framework, liberalizing migration increases the world GDP by 11.5–12.5 percent in the medium term. Our robustness analysis reveals that the gains are always limited, in the range of 7.0 percent (with schooling externalities) to 17.9 percent (if network effects are accounted for).     

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.     

SECTOR‐SPECIFIC EXTERNALITIES AND STATUS PREFERENCES IN THE UZAWA‐LUCAS MODEL*

This paper shows that introducing preferences for social status based on human capital holdings modifies the finding of Gómez (2004 ) that sector‐specific externalities associated with human capital in the goods sector do not violate the optimality of the competitive economy in the Uzawa–Lucas model. The effect of an increase in the degree of sector‐specific externalities is qualitatively the same as that of an increase in the strength of the desire for status. Hence, paradoxically, a greater degree of sector‐specific externalities makes human capital accumulation more excessive from the social point of view.     

A market mechanism for electric power transmission

As competition is introduced into the electric power industry, access and pricing policy for transmission will play a pivotal role in shaping future market structure and performance. The externalities associated with the loop flow phenomenon in an electric power network constitute a significant barrier to the formation of efficient markets for electricity and transmission services. In this paper, we present a new approach to the design of an efficient market mechanism for transmission access that resolves these externalities. Under a trading rule that combines the Coasian and the Pigouvian principles to resolution of externalities, property rights are defined so that a competitive market could be established for transmission services and electricity to achieve a social optimum within a power pool. We characterize a dynamic trading process which is Lyapunov stable and always converges to a competitive equilibrium. Finally, we discuss some practical applicability and long-term investment issues.The authors are indebted to Charles Clark, Shmuel Oren, Pravin Varaiya, Robert Wilson, Felix Wu, and two referees for helpful comments and suggestions and particularly to William Hogan for many incisive comments and constructive suggestions. An earlier version of this paper was presented at the Annual Meeting of International Association of Energy Economists in Washington D.C., June 20, 1995, and at the Joint LBS/IFORS International Symposium on Energy Models for Policy and Planning in London on July 18–20, 1995. This paper does not represent the views of EPRI or its members. The authors remain solely responsible for the errors in this paper.