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 occuring in social choice and in choice functions theories.

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Year of publication:	2007-03
Authors:	Monjardet, Bernard
Institutions:	HAL
Subject:	antiexchange closure operator \| Galois connection \| implicational system \| path-independent choice function \| simple game

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00202326 Published, International Game Theory Review, 2007, 9, 1, 1-12
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750366