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Arrow's Impossibility Theorem

Formalized Mathematics

Volume 15 (2007): Issue 4 (December 2007)

By: Freek Wiedijk

Open Access

|Jun 2008

Abstract

A formalization of the first proof from [6].

References

[1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
Search in Google Scholar
[2] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
Search in Google Scholar
[3] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
Search in Google Scholar
[4] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
Search in Google Scholar
[5] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
Search in Google Scholar
[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
Search in Google Scholar
[7] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
Search in Google Scholar
[8] Andrzej Trybulec. Function domains and Fránkel operator. Formalized Mathematics, 1(3):495-500, 1990.
Search in Google Scholar
[9] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
Search in Google Scholar
[10] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
Search in Google Scholar
[11] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
Search in Google Scholar
[12] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
Search in Google Scholar
[13] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85-89, 1990.
Search in Google Scholar

DOI: https://doi.org/10.2478/v10037-007-0020-9 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 171 - 174

Published on: Jun 9, 2008

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

General mathematics,

Computer sciences,

Computer sciences, other

© 2008 Freek Wiedijk, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 15 (2007): Issue 4 (December 2007)