Non-Separable, Quasiconcave Utilities are Easy -- in a Perfect Price Discrimination Market Model

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we have failed to capture some essential elements of real markets, which seem to do a good job of finding prices that maintain parity between supply and demand. The main point of this paper is to show that even non-separable, quasiconcave utility functions can be handled efficiently in a suitably chosen, though natural, realistic and useful, market model; our model allows for perfect price discrimination. Our model supports unique equilibrium prices and, for the restriction to concave utilities, satisfies both welfare theorems

How Far Does Economic Theory Explain Competitive Nonlinear Pricing in Practice?

Liberalisation of the British electricity market, in which previously monopolised regional markets were exposed to large-scale entry, is used to test the propositions of several recent theoretical papers on oligopolistic nonlinear pricing. Consistent with those theories, each oligopolist offered a single two-part electricity tariff, and a lump sum discount to consumers who purchased both electricity and gas. However, inconsistent with those theories, firms’ two-part tariffs are heterogeneous in ways that cannot be attributed to cost. We establish a series of stylised facts about the nature of these asymmetries between firms and use them to confront established theory

Information, competition and (In) complete discrimination

Nous considérons une firme qui génère un risque pour l'environnement via son activité industrielle et qui a une information privée à la fois sur son effort de précaution et sur le montant de ses actifs. Nous étudions l'interaction entre l'audit ex ante de l'effort de précaution par un régulateur et la vérification ex post de la capacité financière par un juge en cas d'accident. Du point de vue des incitations, les deux instruments sont utiles. Le policy-mix optimal dépend de la règle gouvernant l'intervention ex post et de l'efficience de l'intervention ex ante.

Can price discrimination lead to product differentiation? A vertical differentiation model

In this paper, I compare two-part tariff competition to linear pricing in a vertically differentiated duopoly. Consumers have identical tastes for quality but differ in their preferences for quantity. The main finding is that quality differentiation occurs in equilibrium if and only if two-part tariffs are permitted. Furthermore, two-part tariff competition encourages entry, which in turn increases welfare. Nevertheless, two-part tariff competition decreases consumers' surplus compared to linear pricing.Duopoly, Two-part tariff, Vertical differentiation

Optimal Nonlinear Pricing, Bundling Commodities and Contingent Services

In this paper, we propose to analyze optimal nonlinear pricing when a firm offers in a bundle a commodity and a contingent service. The paper studies a mechanism design where all private information can be captured in a single scalar variable in a monopoly context. We show that to propose the package for commodity and service is less costly for the consumer, the firm has lower consumers rent than the situation where it sells their good and contingent service under an independent pricing strategy. In fact, the possibility to use price discrimination via the supply of package is dominated by the fact that it is costly for the consumer to sign two contracts. Bundling energy and a contingent service is a profitable strategy for a energetician monopoly practising optimal nonlinear tariff. We show that the rates of the energy and the contingent service depend to the optional character of the contingent service and depend to the degree of complementarity between commodities and services.Bundling, Nonlinear pricing, Energy market

The Welfare Effects of Third-Degree Price Discrimination in a Differentiated Oligopoly

This paper studies the relationship between horizontal product differentiation and the welfare effects of third-degree price discrimination in oligopoly. By deriving linear demand from a representative consumer's utility and focusing on the symmetric equilibrium of a pricing game, we characterize the conditions relating to such demand properties as substitutability and complementarity for price discrimination to improve social welfare. In particular, we show that price discrimination can improve social welfare if firms' brands are substitutes in a market where the discriminatory price is higher and complements in one where it is lower, but welfare never improves in the reverse situation. We verify, however, that consumer surplus is never improved by price discrimination; welfare improvement by price discrimination is solely due to an increase in the firms' profits. This means that there is no chance that firms suffer from a "prisoners' dilemma," that is, firms are better off by switching from uniform pricing to price discrimination.

Wholesale price discrimination with regulatory asymmetry

This paper studies the welfare effects of wholesale price discrimination between downstream firms operating under different regulatory systems. I model a monopolistic intermediate good market in which production cost differences between downstream firms may be due to regulatory or technological asymmetries. Price discrimination reduces regulatory distortions but may lower productive efficiency. Therefore, price discrimination increases welfare if regulation is the dominant source of cost differences. This provides a novel welfare rationale for exempting wholesale markets from the recent ban on geo-blocking in the EU

Screening Contracts in the Presence of Positive Network Effects

Based on the critical assumption of strategic complementarity, this paper builds a general model to describe and solve the screening problem faced by the monopolist seller of a network good. By applying monotone comparative static tools, we demonstrate that the joint presence of asymmetric information and positive network effects leads to a strict downward distortion for all consumers in the quantities provided. We also show that the equilibrium allocation is an increasing function of the intensity of network effects, and that a discriminating monopoly may supply large quantities for all consumers than a competitive industry.network effects, strategic complementarities, contracting with externalities, second-degree discrimination, monotone comparative statics