Problemi di minimax di tipo discreto: Un approccio unificato mediante il teorema dell'alternativa di Motzkin

Si dimostrano delle condizioni del primo ordine, alcune necessarie e altre sufficienti per problemi di minimax di tipo discreto, utilizzando prevalentemente il teorema dell'alternativa di Motzkin.

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In this paper discrete minimax problems are considered.Some first order optimality conditions for minimax problems in hypothesis of different kind about the set of constraints are proved.We don't suppose that the set is convex, as treated by V. F. Dem'yanov and V. M. Malozemov.For the proofs it has often been used the alternative Motzkin's theorem.

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Pervenuto il 28-3-82

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Lavoro eseguito nell'ambito del progetto di ricerca «Equilibrio in modelli matematici con aspettative razionali».     

A functional perspective on financial networks

The financial sector is a critical component of any economic system, as it delivers key qualitative asset transformation services in terms of liquidity, maturity and volume. Although these functions could in principle be carried out separately by specialized actors, in the end it is their systemic co-evolution that determines how the aggregate economy performs and withstands disruptions. In this paper we argue that a functional perspective on financial intermediation can be usefully employed to investigate the functioning of financial networks. We do this in two steps. First, we use previously unreleased data to show that focusing on the economic functions performed over time by the different institutions exchanging funds in an interbank market can be informative, even if the underlying topological structure of their relations remains constant. Second, a set of alternative artificial histories are generated and stress-tested by using real data as a calibration base, with the aim of performing counterfactual welfare comparisons among different topological structures.