Relations between convexity and homogeneity in multioutput technologies

Sung Ko Li

doi:10.1016/0304-4068(94)00695-7

Relations between convexity and homogeneity in multioutput technologies

Sung Ko Li^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

17 Citations (Scopus)

Abstract

Homogeneity and convexity are two important concepts in economics. With homogeneity, this paper shows that the technology set is convex if and only if the input sets are convex. Furthermore, even if individual technology sets are not convex, the aggregate technology can be made convex by considering at most two firms only.

Original language	English
Pages (from-to)	311-318
Number of pages	8
Journal	Journal of Mathematical Economics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/0304-4068(94)00695-7
Publication status	Published - 1995

User-Defined Keywords

Cone technology
Convexity
Homogeneity

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10.1016/0304-4068(94)00695-7

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@article{e6755088acaf47e0a684b05bb218eb75,

title = "Relations between convexity and homogeneity in multioutput technologies",

abstract = "Homogeneity and convexity are two important concepts in economics. With homogeneity, this paper shows that the technology set is convex if and only if the input sets are convex. Furthermore, even if individual technology sets are not convex, the aggregate technology can be made convex by considering at most two firms only.",

keywords = "Cone technology, Convexity, Homogeneity",

author = "Li, \{Sung Ko\}",

note = "Funding Information: This research has been supported by the Hong Kong Baptist College under Faculty Research Grant FRG/92-93/B-48. I am grateful to Professor Rolf Fare for his helpful comments.",

year = "1995",

doi = "10.1016/0304-4068(94)00695-7",

language = "English",

volume = "24",

pages = "311--318",

journal = "Journal of Mathematical Economics",

issn = "0304-4068",

publisher = "Elsevier B.V.",

number = "4",

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TY - JOUR

T1 - Relations between convexity and homogeneity in multioutput technologies

AU - Li, Sung Ko

N1 - Funding Information: This research has been supported by the Hong Kong Baptist College under Faculty Research Grant FRG/92-93/B-48. I am grateful to Professor Rolf Fare for his helpful comments.

PY - 1995

Y1 - 1995

N2 - Homogeneity and convexity are two important concepts in economics. With homogeneity, this paper shows that the technology set is convex if and only if the input sets are convex. Furthermore, even if individual technology sets are not convex, the aggregate technology can be made convex by considering at most two firms only.

AB - Homogeneity and convexity are two important concepts in economics. With homogeneity, this paper shows that the technology set is convex if and only if the input sets are convex. Furthermore, even if individual technology sets are not convex, the aggregate technology can be made convex by considering at most two firms only.

KW - Cone technology

KW - Convexity

KW - Homogeneity

UR - https://www.scopus.com/pages/publications/0344455190

U2 - 10.1016/0304-4068(94)00695-7

DO - 10.1016/0304-4068(94)00695-7

M3 - Journal article

AN - SCOPUS:0344455190

SN - 0304-4068

VL - 24

SP - 311

EP - 318

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

IS - 4

ER -

Relations between convexity and homogeneity in multioutput technologies

Abstract

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