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Currently displaying 1 – 2 of 2

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«Operations Research Games»

Vito Fragnelli; Roberto Tadei — 2005

Bollettino dell'Unione Matematica Italiana

In questo articolo viene presentata una vasta classe di giochi, gliOperations Research Games, che costituiscono la naturale estensione dei problemi classici della Ricerca Operativa al caso in cui sono presenti più decisori, che interagiscono fra di loro. Si tratta di giochi cooperativi a utilità trasferibile. Dopo aver richiamato le caratteristiche principali di tali giochi e dei concetti di soluzione più comuni, vengono presentati alcuni esempi di Operations Research Games, quali i giochi di produzione,...

Extensions of linear operators from hyperplanes of $l_{\infty}^{(n)}$

Marco Baronti; Vito Fragnelli; Grzegorz Lewicki — 1995

Commentationes Mathematicae Universitatis Carolinae

Let $Y \subset l_{\infty}^{(n)}$ be a hyperplane and let $A \in ℒ (Y)$ be given. Denote $\begin{matrix} 𝒜 = & {L \in ℒ (l_{\infty}^{(n)}, Y) : L ∣ Y = A} and & λ_{A} = inf {∥ L ∥ : L \in 𝒜} . \end{matrix}$ In this paper the problem of calculating of the constant $λ_{A}$ is studied. We present a complete characterization of those $A \in ℒ (Y)$ for which $λ_{A} = ∥ A ∥$ . Next we consider the case $λ_{A} > ∥ A ∥$ . Finally some computer examples will be presented.

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