Restricted Hodrick–Prescott filtering in a state-space framework

The current paper extends previous results on Hodrick–Prescott (HP) filtering and shows that it is possible to implement the judgement-augmented, or restricted, HP filter within the state-space framework. The implementation entails augmenting the vector of measurements and altering one of the system matrices of the state-space model for the HP filter. Restrictions can thereby be incorporated in the HP filter, making, e.g., estimation more accessible. An application to US GDP gap estimation illustrates how the restricted filter could be usefully applied in an empirical macroeconomic setting.     

The option of joint purchase in vertically differentiated markets

Summary. Within the framework proposed by Mussa and Rosen (1978) for modelling quality differentiation, consumers are assumed to make mutually exclusive purchases. A unique pure strategy equilibrium exists in this case. In this note, we allow consumers to buy simultaneously different variants of the differentiated good. We call this the “joint purchase option”. The paper proposes a detailed analysis of price competition when this option is opened: first, we show that either uniqueness, or multiplicity, or absence of price equilibrium arise, depending on the utility derived from joint purchase relative to exclusive purchase. Second, we characterize these equilibria, whenever they exist. Received: July 25, 2001; revised version: October 21, 2002 RID="*" ID="*" The second author gratefully acknowledges the financial support from Interuniversity Attraction Pole Program- Belgian State- Federal Office for Scientific, Technical and Cultural Affairs under contract PAI 5/26. Correspondence to: X.Y. Wauthy     

Author Index Volume 24 2003

Authors Index

Author Index Volume 24 2003     

Discriminatory Price Auctions in Electricity Markets: Low Volatility at the Expense of High Price Levels

A pay-as-offered or discriminatory price auction (DPA) has been proposed to solve the problem of inflated and volatile wholesale electricity prices. Using the experimental method we compare the DPA with a uniform price auction (UPA), strictly controlling for unilateral market power. We find that a DPA indeed substantially reduces price volatility. However, in a no market power design, prices in a DPA converge to the high prices of a uniform price auction with structural market power. That is, the DPA in a no market power environment is as anti-competitive as a UPA with structurally introduced market power.     

Budget deficits and interest rates in Germany

This study uses the basic tools of cointegration to determine whether there exists a long-term relationship between budget deficits and nominal interest rates in Germany. Maximum eigenvalue, trace, and likelihood ratio tests all affirm that there does apparently exist a long-term relationship between the budget deficit and the nominal interest rate. Accordingly, regression studies and formal causality tests have a reasonable basis for investigating whether budget deficits lead to higher interest rates in Germany.     

Efficiency wages and union-firm bargaining with private information

We consider efficiency wage effects in a union-firm bargaining model with private information. We show that an increase in the efficiency wage effects does not necessarily increase the wage level at equilibrium, even when the wage bargaining with private information is close to one with complete information. However, if it is commonly known that the firm is stronger than the union and the demand is sufficiently elastic, then an increase in the efficiency wage effects increases for sure the wage at equilibrium.JEL Classification: J41, J50, J52We thank Juan Dolado and two anonymous referees for valuable comments. Vincent Vannetelbosch is Chercheur Qualifié at the Fonds National de la Recherche Scientifique. The research of Ana Mauleon has been made possible by a fellowship of the Fonds Européen du Développement Economique Régional (FEDER). Financial support from the Belgian French Communitys program Action de Recherches Concertée 99/04-235 (IRES, Université catholique de Louvain) is gratefully acknowledged.     

Cost Structures and Nash Play in Repeated Cournot Games

This paper reports an experiment designed to assess the effects of a rotation in the marginal cost curve on convergence in a repeated Cournot triopoly. Increasing the cost curve's slope both reduces the serially-undominated set to the Nash prediction, and increases the peakedness of earnings. We observe higher rates of Nash equilibrium play in the design with the steeper marginal cost schedule, but only when participants are also rematched after each decision. Examination of response patterns suggests that the treatment with a steeper marginal cost curve and with a re-matching of participants across periods induces the selection of Nash Consistent responses.