Projectively-convex sets and functions
type: Item
instance of: scholarly article
title: Projectively-convex sets and functions
zbMATH Open document ID: 0649.90008
DOI: 10.1016/0304-4068(88)90027-4
author: Steven T. Hackman
author: Ury Passy
published in: Journal of Mathematical Economics
publication date: 1988-01-01T00:00:00Z
review text: We introduce a generalization of convexity called projective-convexity (or P-convexity) which extends models for consumer preference and consumer budgeting. We prove a separation theorem for projectively-convex sets, establish a duality theorem for projectively-concave technologies, and briefly analyse extremal properties of projectively-concave functions.
Mathematics Subject Classification ID: 91B10
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 4060931
zbMATH Keywords: projective-convexity
zbMATH Keywords: consumer preference
zbMATH Keywords: consumer budgeting
zbMATH Keywords: separation theorem
MaRDI profile type: Publication
full work available at URL: 0304-4068(88)90027-4
OpenAlex ID: W2017949031
cites work: Quasi-Concave Programming
cites work: Generalized arcwise-connected functions and characterizations of local- global minimum properties
cites work: Q3658220
cites work: Q3320134
cites work: Q4161016
cites work: Additively decomposed quasiconvex functions
cites work: Separable Utility and Aggregation
cites work: Pseudo-Convex Functions
cites work: Q5589748
cites work: Q3328297
cites work: Q4133393
cites work: A duality approach to minimax results for quasi-saddle functions in finite dimensions
cites work: The Empirical Implications of a Utility Tree
cites work: The Utility Tree--A Correction and Further Appraisal
cites work: A Note on Separability and Quasiconcavity
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description: scientific article; zbMATH DE number 4060931