SOME ORDER DUALITIES IN LOGIC, GAMES AND CHOICES

Bernard Monjardet

International Game Theory Review (IGTR), 2007, vol. 09, issue 01, 1-12

Abstract: 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.

Keywords: 03; 06; 91; JEL Classification: C00; JEL Classification: D71 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2007
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219198907001242
Access to full text is restricted to subscribers

Related works:
Working Paper: Some order dualities in logic, games and choices (2007)
Working Paper: Some order dualities in logic, games and choices (2007)
Working Paper: Some order dualities in logic, games and choices (2004)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:igtrxx:v:09:y:2007:i:01:n:s0219198907001242

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219198907001242

Access Statistics for this article

International Game Theory Review (IGTR) is currently edited by David W K Yeung

More articles in International Game Theory Review (IGTR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().