Some order dualities in logic, games and choices

We first present the concept of duality appearing in order theory, i.e. the notions of dual isomorphism and of Galois connection. Then we describe two fundamental dualities, the duality extension/intention associated with a binary relation between two sets, and the duality between implicational systems and closure systems. Finally we present two «concrete» dualities occurring in social choice and in choice functions theories.

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Year of publication:	2004-02
Authors:	Monjardet, Bernard
Institutions:	Maison des Sciences Économiques, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Antiexchange closure operator \| closure system \| Galois connection \| implicational system \| Galois lattice \| path-independent choice function \| preference aggregation rule \| simple game

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Extent:	application/pdf
Series:	Cahiers de la Maison des Sciences Economiques. - ISSN 1624-0340.
Type of publication:	Book / Working Paper
Notes:	15 pages
Classification:	C00 - Mathematical and Quantitative Methods. General ; D71 - Social Choice; Clubs; Committees; Associations
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005670918