The existence of maximal elements: Generalized lexicographic relations

Jens Leth Hougaard; Mich Tvede

doi:10.1016/S0304-4068(01)00066-0

The existence of maximal elements: Generalized lexicographic relations

Jens Leth Hougaard, Mich Tvede

Economics

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic relations are introduced and some results on existence of maximal elements are provided. A simple example shows that economies with "lexicographic consumers" need not have equilibria even though demand functions associated with generalized lexicographic relations may be continuous for positive prices.

Original language	English (US)
Pages (from-to)	111-115
Number of pages	5
Journal	Journal of Mathematical Economics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/S0304-4068(01)00066-0
State	Published - Nov 2001

Keywords

Binary relations
D11
Lexicographic relations
Maximal elements

ASJC Scopus subject areas

Economics and Econometrics
Applied Mathematics

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10.1016/S0304-4068(01)00066-0

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abstract = "In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic relations are introduced and some results on existence of maximal elements are provided. A simple example shows that economies with {"}lexicographic consumers{"} need not have equilibria even though demand functions associated with generalized lexicographic relations may be continuous for positive prices.",

keywords = "Binary relations, D11, Lexicographic relations, Maximal elements",

author = "Hougaard, {Jens Leth} and Mich Tvede",

note = "Funding Information: Financial support from the Danish Research Councils is gratefully acknowledged by Mich Tvede. ",

year = "2001",

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AU - Tvede, Mich

N1 - Funding Information: Financial support from the Danish Research Councils is gratefully acknowledged by Mich Tvede.

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Y1 - 2001/11

N2 - In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic relations are introduced and some results on existence of maximal elements are provided. A simple example shows that economies with "lexicographic consumers" need not have equilibria even though demand functions associated with generalized lexicographic relations may be continuous for positive prices.

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KW - Binary relations

KW - D11

KW - Lexicographic relations

KW - Maximal elements

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ER -

The existence of maximal elements: Generalized lexicographic relations

Abstract

Keywords

ASJC Scopus subject areas

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