Arrow's Impossibility Theorem

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Arrow's Impossibility Theorem

A formalization of the first proof from [6].

[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 http://ideas.repec.org/p/cwl/cwldpp/1123r3.html

[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.

Formalized Mathematics

(a computer assisted approach)

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researchers in the fields of formal methods and computer-checked mathematics

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