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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
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Citations: View citations in EconPapers (1)

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Working Paper: Some order dualities in logic, games and choices (2007) Downloads
Working Paper: Some order dualities in logic, games and choices (2004) Downloads
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DOI: 10.1142/S0219198907001242

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