The Effects of Product Bundling in Duopoly

This paper studies the incentives for multiproduct duopolists to sell their products as a bundle. It is shown that contrary to the monopoly case bundling may reduce profits and increase consumer rent. This is the case if consumers' reservation values are negatively correlated. The reason is that bundling reduces consumer heterogeneity and makes price competition more aggressive. This effect can dominate the sorting effect that is well known for the monopoly case. Firms are in a prisoner's dilemma situation because they would be better off without bundling. Despite the lower prices a welfare loss occurs because some consumers do not buy their prefered product which results in distributive inefficiency. If firms can influence the correlation by choosing their location in the product range they try to avoid negative correlation and choose minimal differentiation in one good

Unique Equilibrium in Two-Part Tariff Competition between Two-Sided Platforms

Two-sided market models in which platforms compete via two-part tariffs, i.e. a subscription and a per-transaction fee, are often plagued by a continuum of equilibria. This paper augments existing models by allowing for heterogeneous rading behavior of agents on both sides. We show that this simple method yields a unique equilibrium even in the limit as the heterogeneity vanishes. In case of competitive bottlenecks we find that in this equilibrium platforms benefit from the possibility to price discriminate if per-transaction costs are relatively large. This is the case because two-part tariffs allow platforms to better distribute these costs among the two sides. Under two-sided single-homing price discrimination hurts platforms if per-transaction fees can be negative

Exclusive vs Overlapping Viewers in Media Markets

This paper investigates competition for advertisers in media markets when viewers can subscribe to multiple channels. A central feature of the model is that channels are monopolists in selling advertising opportunities toward their exclusive viewers, but they can only obtain a competitive price for advertising opportunities to multi-homing viewers. Strategic incentives of firms in this setting are different than those in former models of media markets. If viewers can only watch one channel, then firms compete for marginal consumers by reducing the amount of advertising on their channels. In our model, channels have an incentive to increase levels of advertising, in order to reduce the overlap in viewership. We take an account of the differences between the predictions of the two types of models and find that our model is more consistent with recent developments in broadcasting markets. We also show that if channels can charge subscription fees on viewers, then symmetric firms can end up in an asymmetric equilibrium in which one collects all or most of its revenues from advertisers, while the other channel collects most of its revenues via viewer fees

The Effects of Product Bundling in Duopoly

This paper studies the incentives for multiproduct duopolists to sell their products as a bundle. It is shown that contrary to the monopoly case bundling may reduce profits and increase consumer rent. This is the case if consumers' reservation values are negatively correlated. The reason is that bundling reduces consumer heterogeneity and makes price competition more aggressive. This effect can dominate the sorting effect that is well known for the monopoly case. Firms are in a prisoner's dilemma situation because they would be better off without bundling. Despite the lower prices a welfare loss occurs because some consumers do not buy their prefered product which results in distributive inefficiency. If firms can influence the correlation by choosing their location in the product range they try to avoid negative correlation and choose minimal differentiation in one good.Product Bundling ; Price Competition ; Price Discrimination ; Product Differentiation

Two-Sided Markets with Negative Externalities

This paper analyses a two-sided market in which two platforms compete against each other. One side, the advertisers, exerts a negative externality on the ther side, the users. It is shown that if platforms can charge advertisers only, a higher degree of competition for users can lead to higher profits because competition on the advertisers' side is reduced. If platforms can charge users as well, profits might increase or decrease, the latter because of increased competition through the additional instrument of the user fee. Nevertheless the equilibrium with user fee is more efficient.Negative Externalities ; Price Competition ; Two-Sided Markets

Unique Equilibrium in Two-Part Tariff Competition between Two-Sided Platforms

Two-sided market models in which platforms compete via two-part tariffs, i.e. a subscription and a per-transaction fee, are often plagued by a continuum of equilibria. This paper augments existing models by allowing for heterogeneous rading behavior of agents on both sides. We show that this simple method yields a unique equilibrium even in the limit as the heterogeneity vanishes. In case of competitive bottlenecks we find that in this equilibrium platforms benefit from the possibility to price discriminate if per-transaction costs are relatively large. This is the case because two-part tariffs allow platforms to better distribute these costs among the two sides. Under two-sided single-homing price discrimination hurts platforms if per-transaction fees can be negative.Two-Sided Markets; Per-Transaction Fee; Subscription Fee; Two-Part

Indirect Taxation in Vertical Oligopoly

This paper analyzes the effects of specific and ad valorem taxation in an industry with downstream and upstream oligopoly. We find that in the short run, i.e. when the number of firms in both markets is exogenous, the results concerning tax incidence tend to be qualitatively similar to models where the upstream market is perfectly competitive. However, both over- and undershifting are more pronounced, potentially to a very large extent. Instead, in the long run under endogenous entry and exit overshifting of both taxes is more likely to occur and is more pronounced under upstream oligopoly. As a result of this, a tax increase is more likely to be welfare reducing. We also demonstrate that downstream and upstream taxation are equivalent in the short run while this is not true for the ad valorem tax in the long run. We show that it is normally more efficient to tax downstream

On multigrid for anisotropic equations and variational inequalities: pricing multi-dimensional European and American options

Partial differential operators in finance often originate in bounded linear stochastic processes. As a consequence, diffusion over these boundaries is zero and the corresponding coefficients vanish. The choice of parameters and stretched grids lead to additional anisotropies in the discrete equations or inequalities. In this study various block smoothers are tested in numerical experiments for equations of Black–Scholes-type (European options) in several dimensions. For linear complementarity problems, as they arise from optimal stopping time problems (American options), the choice of grid transfer is also crucial to preserve complementarity conditions on all grid levels. We adapt the transfer operators at the free boundary in a suitable way and compare with other strategies including cascadic approaches and full approximation schemes