Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/111244
Authors: 
Balogh, Tamás L.
Ewerhart, Christian
Year of Publication: 
2015
Series/Report no.: 
Working Paper Series, University of Zurich, Department of Economics 187
Abstract: 
In a less widely known contribution, Béla Martos (1966, Hungarian Academy of Sciences) introduced a generalized notion of concavity that is closely related to what is nowadays known as r-concavity in the operations research literature, and that is identical to what is nowadays known as r-concavity in the economics literature. The present paper aims at making the original contribution accessible to a wider audience and illustrating its importance from a modern perspective. To this end, we offer a translation of those parts of Martos (1966) that are directly related to generalized concavity. Reviewing the virtues of r-concavity and p-concavity, we find a surprisingly short proof of the univariate Prékopa-Borell theorem. We also survey a number of applications of the considered concepts in operations research and economics.
Subjects: 
Generalized concavity
r-concavity
p-concavity
nonlinear optimization
economic applications
JEL: 
C6
D0
Y8
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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