Slow adjustment to shocks or true hysteresis?

In Western Europe in the last two decades the unemployment rate has increased during cyclical downturns only to persist at or around the higher level in the following phase of economic recovery. One of the most notable exceptions to this pattern of unemployment persistence, often termed hysteresis, is the United States. The following article examines the empirical evidence and the possible theoretical explanations for this difference.     

Strategy-proofness in many-to-one matching problems

We search forstrategy-proof solutions in the context of (many-to-one) matching problems (Gale and Shapley, 1962). In this model, whenever the firms can hire as many workers as they want (the capacities are unlimited) the stable set is a singleton. There exists aPareto efficient, individually rational, andstrategy-proof matching rule if and only if the capacities are unlimited. Furthermore, whenever the capacities unlimited, the matching rule which selects the unique stable matching is the only matching rule that isPareto efficient, individually rational, andstrategy-proof.     

Vergleich des verallgemeinerten nichtzentralent-Tests mit dem Binomialtest

Zusammenfassung Es sei {F _,(x); –<<, >0} mitF _,(x)=F((x–)/)–F(x) eine standardisierte Verteilungsfunktion — die Familie der zulässigen Verteilungsfunktionen. Der (früher eingeführte) verallgemeinerte nichtzentralet-Test für die Hypothese {PP ₀} mitP:=F _,(x ₀) gegen die Alternative {P>P ₀} zum Niveau wird mit dem entsprechenden nichtparametrischen Test (Test für die Hypothese {pP ₀} über den Parameterp einer Binomialverteilung gegen die Alternative {p>P ₀}) verglichen. Für dent-Test wird die relative asymptotische Effizienz bestimmt.Beide Tests lassen sich als Tests für das zur WahrscheinlichkeitP ₀ gehörende Quantil einer Verteilungsfunktion interpretieren. Der klassische zentrale Student-Test ergibt sich als Spezialfall (F(x)=(x),P ₀=0,5).

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Summary Let {F _,(x);–<<, >0} withF _,(x ₀):=F((x–)/–F(x) a standarized distribution function — the family of admissible distribution functions. The (earlier introduced) generalized noncentralt-test for the hypothesis {PP ₀} withP:=F _,(x ₀) against the alternative {P>P ₀} at level of significance is compared with the corresponding nonparametric test (Binomial test). The relative asymptotic efficiency of thet-test is determined. Both kinds of tests can be interpreted as quantiltests. In caseF(x)=(x),P ₀=0,5 one gets the classical central Student-test.

     

Marginal distributions of sequential and generalized order statistics

Expressions for marginal distribution functions of sequential order statistics and generalized order statistics are presented without any restrictions imposed on the model parameters. The results are related to the relevation transform, to the distribution of the product of Beta distributed random variables, and to Meijers G-functions. Some selected applications in the areas of moments, conditional distributions, recurrence relations, and reliability properties are shown. Key words:Order statistics; Generalized order statistics; Sequential order statistics; Record values; Distribution theory; Meijers G-function; Recurrence relations; Reliability properties.     

Reduced Form Auctions Revisited

This note uses the Theorem of the Alternative to prove new results on the implementability of general, asymmetric auctions, and to provide simpler proofs of known results for symmetric auctions. The tradeoff is that type spaces are taken to be finite.     

Disequilibrium dynamics in a simple macroeconomic model

The dynamic behavior of a simple macroeconomic disequilibrium model is analyzed in which consumers' changes in money holdings constitute the dynamic link between any two periods. It is shown that, under constant government consumption, a constant production function (no investment), and fixed prices and wages, stationary states of Keynesian unemployment are stable whereas those of repressed inflation are globally unstable. Possibilities of unemployment and output cycles are indicated for fixed wages as well as for some very simple class of wage and price adjustment mechanisms.     

MSE-improvement of the least squares estimator by dropping variables

It is well known that dropping variables in regression analysis decreases the variance of the least squares (LS) estimator of the remaining parameters. However, after elimination estimates of these parameters are biased, if the full model is correct. In his recent paper, Boscher (1991) showed that the LS-estimator in the special case of a mean shift model (cf. Cook and Weisberg, 1982) which assumes no “outliers” can be considered in the framework of a linear regression model where some variables are deleted. He derived conditions under which this estimator outperforms the LS-estimator of the full model in terms of the mean squared error (MSE)-matrix criterion. We demonstrate that this approach can be extended to the general set-up of dropping variables. Necessary and sufficient conditions for the MSE-matrix superiority of the LS-estimator in the reduced model over that in the full model are derived. We also provide a uniformly most powerful F-statistic for testing the MSE-improvement.     

An empirical investigation of monetary effects on private consumption expenditures in Austria

This paper presents an econometric investigation of monetary effects on private consumption expenditures in Austria. It tries to add the empirical aspect to the theoretical problem of the relationship between monetary and real sector of an economy.Patinkins theory of the real balance effect provides the link between theoretical and empirical aspects. Taking into consideration further assumptions on aggregation, dynamics and problems of definition of variables, consumption functions of different aggregation levels are specified. Including effects of interest rates and credits one arrives at a first assessment of monetary effects on private consumption expenditures as found from single equation estimates. Significant credit and wealth effects are obtained. Later, systems of equations are estimated and used to investigate real—monetary sector interaction. They allow also a dynamic analysis.In presenting the sequence of microeconomic foundations, further assumptions and macroeconomic functions and systems built upon, it is thought to clarify the connection to traditional theory of real—monetary sectors relationship. It might also give an idea about the resulting problems for meaningful empirical research in this area.

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Zusammenfassung Diese Arbeit beschäftigt sich mit der ökonometrischen Untersuchung monetärer Effekte auf private Konsumausgaben in Österreich. Es wird damit versucht, dem theoretischen Problem der Beziehungen zwischen monetärem und realem Sektor der Wirtschaft einen empirischen Aspekt, der die österreichischen Verhältnisse betrifft, zur Seite zu stellen. Das Bindeglied zwischen Theorie und Empirie stelltPatinkins Theorie des Realkasseneffektes dar, die unter Zuhilfenahme weiterer Annahmen über Aggregation, Definitionen und Dynamik zur Spezifikation von aggregierten und disaggregierten Konsumfunktionen führt. Ergänzt durch Zins- und Krediteffekte läßt sich an Hand von Einzelgleichungen eine erste Einschätzung monetärer Wirkungen auf den privaten Konsum und seine Komponenten durchführen. Es können signifikante Kredit- und Vermögenseffekte festgestellt werden. In diesem Zusammenhang wird auch die Hypothese überprüft, ob die Grenzneigungen zum Konsum aus dem verfügbaren Realeinkommen und aus dem Realfinanzvermögen gleich sind, wie dies durch die Annahme eines kurzfristigen Planungshorizontes impliziert wird.Um die Interaktion von realem und monetärem Sektor zu analysieren, wird ein Gleichungs-system formuliert und geschätzt. Daraus lassen sich Unterschiede zu Einzelgleichungsergebnissen aufzeigen. Mittels alternativer Spezifikation der Konsumgleichungen und der Gleichung des monetären Sektors können Vermögens-, Kredit- und Zinseffekte auch im dynamischen Zusammenhang untersucht werden.Die Aufeinanderfolge von mikroökonomischen Grundlagen, weiterer Annahmen, makroökonomischen Funktionen und schließlich Systemen, soll den Zusammenhang zur traditionellen Theorie der Beziehungen zwischen Geld- und Realsektor verdeutlichen und auf die daraus entstehenden Probleme für eine adäquate empirische Untersuchung hinweisen.

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A preliminary version of this paper was presented at the Winter Meeting of the Econometric Society at Sindelfingen (January 9–11, 1978). It constitutes a condensed version of a project on Money and Private Consumption conducted at the Institute of Econometrics, TU—Vienna, under Prof.G. Tintner. The author is indebted to Prof. Tintner for helpful comments and to Dipl. Ing.R. Rieder for assisting in the computations and providing computer programs. The project was supported financially by the Jubiläusmfonds of the Austrian National Bank.