Arrow's Impossibility Theorem

• Autorzy: Freek Wiedijk
• Języki publikacji: EN

Abstrakty

EN

A formalization of the first proof from [6].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 4
• Strony: 171-174

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Freek Wiedijk

• Institute for Computing and Information Sciences, Radboud University Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands

Bibliografia

• [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
• [2] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
• [3] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
• [4] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
• [5] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
• [6] John Geanakoplos. Three brief proofs of arrow's impossibility theorem. Cowles Foundation Discussion Papers 1123R3, Cowles Foundation, Yale University, April 1996. Available at
• [7] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
• [8] Andrzej Trybulec. Function domains and Fránkel operator. Formalized Mathematics, 1(3):495-500, 1990.
• [9] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
• [10] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [11] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
• [12] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
• [13] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85-89, 1990.

Identyfikatory

DOI

10.2478/v10037-007-0020-9