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The origins of quasi-concavity: a development between mathematics and economics
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The origins of quasi-concavity: a development between mathematics and economics

Author: Angelo Guerraggio; Elena Molho Affiliation: Dipartimento di Ricerche Aziendali, Università degli Studi di Pavia, Pavia, Italy
Edition/Format: Article Article : English
Publication:Historia Mathematica, v31 n1 (2004): 62-75
Other Databases: WorldCatWorldCatWorldCat
Summary:
The origins of the notion of quasi-concave function are considered, with special interest in some work by John von Neumann, Bruno de Finetti, and W. Fenchel. The development of such pioneering studies subsequently led to a whole field of research, known as “generalized convexity.” The different styles of the three authors and the various motivations for introducing quasi-concavity are compared, without losing sight  Read more...
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Document Type: Article
All Authors / Contributors: Angelo Guerraggio; Elena Molho Affiliation: Dipartimento di Ricerche Aziendali, Università degli Studi di Pavia, Pavia, Italy
ISSN:0315-0860
Language Note: English
Unique Identifier: 4931716646
Awards:

Abstract:

The origins of the notion of quasi-concave function are considered, with special interest in some work by John von Neumann, Bruno de Finetti, and W. Fenchel. The development of such pioneering studies subsequently led to a whole field of research, known as “generalized convexity.” The different styles of the three authors and the various motivations for introducing quasi-concavity are compared, without losing sight of economic applications characteristic of the whole field of generalized convexity. Il lavoro considera le origini della nozione di funzione quasi-concava, con particolare riguardo ad alcuni scritti di John von Neumann, di Bruno de Finetti, e di W. Fenchel. Lo sviluppo di tali studi pionieristici ha successivamente consentito lo sviluppo di un intero campo di ricerca detto “convessità generalizzata.” I diversi stili dei tre autori e le differenti motivazioni che hanno portato all'introduzione della quasi-concavità vengono confrontati, senza perdere di vista il riferimento alle applicazioni economiche che costituiscono una caratteristica in tema di convessità generalizzata.

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