Common behaviour of power indices

The variations ensuing in a weighted majority game are studied when a player increases his weight in prejudice of others or decreases in favor, or trades shares outside the game (in particular when an-person game becomes an (n+1)-person one). An invariant behaviour for different game values is found for all these cases. Possible applications to politics, shareholdings and large games are pointed out.     

Some collineations in projective planes induced by net collineations

When in a 3-net the three line pencils are permuted, then with some additional requirements the net is mapped onto itself in a way which also induces a map of a coordinatizing loop (Q^*), onto another, isostrophic loop (Q^*, Ø). Every identity ab = aØb induces a net collineation and, simultaneously, a loop law. This procedure is used for finding collineations of a translation plane such that their existence is a necessary and sufficient condition for the validity of some laws in the multiplicative loop of a coordinatizing quasifield. Proofs can be found in [1, 2, 3].     

Temps d'arrÊt d'un système dynamique

Summary The most general positive integer-valued random variable v such that for a given bijective measure preserving transformation , the transformation ^v is still bijective and measure preserving is shown to be a (generally infinite) superposition of return times.

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Equipe de Recherche n 1 «< Processus stochastiques et applications»> dépendant de la section n 2 «Théories Physiques et Probabilités» associée au C.N.R.S.     

A characterization of polyhedral market games

The class of games without side payments obtainable from markets having finitely many commodities and continuous concave utility functions is considered. It is first shown that each of these so-called market games is totally balanced, for a reasonable generalization of the idea of a balanced side payment game. It is then shown that among polyhedral games (i.e., games for which each (V(S) is a polyhedron), this property characterizes the market games.     

Colloidal properties of rubber latex

Summary This work describes the dialysis, the determination of the total soap content in the latex system by conductometric titration, the effect of dilution on soap distribution between the aqueous and polymer phases, the confirmation of the average diameter of the latex particles, the electrophoretic behavior, and the establishment of the solids content below which the latex behaves according toBeer's law for the transmission of light. The colloidal system used in this study was a styrenebutadiene ( 11) latex (Naugatex 2740) with potassium salt of the disproportionated rosin (Dresinate 214) as emulsifier.

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Zusammenfassung An einem Styrol-Butadien (11)-Latex (Naugatex 2740) mit dem Kaliumsalz von disproportioniertem Harz (Dresinate 214) als Emulgator wurden folgende Untersuchungen durchgeführt: Dialyse, konduktometrische Bestimmung der Gesamtkonzentration an Seife im Latex, Einfluß der Verdünnung auf die Verteilung der Seife zwischen wässeriger und polymerer Phase, Ermittlung des mittleren Durchmessers der Partikel und elektrophoretisches Verhalten. Weiterhin wurde noch festgestellt, bis zu welchem Feststoffgehalt dasBeersche Gesetz für die Latexssuspension gilt.

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Supported by the U.S. Army Research Office (Durham), Grant No. DA-ARO(D)-31-124-G 656.

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Part of a Ph. D. Thesis byC. G. Force.     

Vorteile einer Terminierung von Netzplänen mittels minimaler Vorgangsdauern

Zusammenfassung Bei deterministischen Netzplantechnik-Modellen erfolgt die Terminierung der einzelnen Vorgänge in der Regel unter der Annahme, da\ die vorgegebenen Vorgangsdauern konstant sind. Fa\t man dagegen diese Dauern als minimale Zeitabstände auf, so lassen sich zusätzliche Aussagen über die Auswirkungen von Vorgangsdehnungen bzw. -unterbrechungen ermitteln. Darüber hinaus können höhere Pufferzeiten bzw. kürzere Projektdauern erzielt werden.

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Summary In deterministic network models the given durations of activities are usually assumed to be constant for time analysis. If those durations are interpreted as minimal durations, additional assertions about expanding resp. interrupting activities are possible. Moreover, greater floats resp. shorter project durations can be achieved.

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Dr.-Ing., Dipl.-Wirtsch.-Ing.Friedhelm Koch war zur Zeit der Erstellung dieses Manuskripts Mitarbeiter im selben Institut; er ist heute Mitarbeiter der NETRONIC GmbH in Aachen-Walheim.     

Über die Biegung einer unendlich erstreckten orthotropen Platte auf elastischer Unterlage

Ohne Zusammenfassung