On the existence of maximal elements: An impossibility theorem

Most properties of binary relations considered in the decision literature can be expressed as the impossibility of certain ``configurations.'' There exists no condition of this form which would hold for a binary relation on a subset of a finite-dimensional Euclidean space if and only if the relation admits a maximal element on every nonempty compact subset of its domain.

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Year of publication:	2005-09-28
Authors:	Kukushkin, Nikolai S
Institutions:	EconWPA
Subject:	Binary relation \| Maximal element \| Necessary and sufficient condition \| Potential games

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Extent:	application/pdf
Series:	Game Theory and Information.
Type of publication:	Book / Working Paper
Notes:	Type of Document - pdf; pages: 7 7 pages
Classification:	D70 - Analysis of Collective Decision-Making. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005407537