Arrow's Impossibility Theorem

Freek Wiedijk

Formalized Mathematics (2007)

  • Volume: 15, Issue: 4, page 171-174
  • ISSN: 1426-2630

Abstract

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A formalization of the first proof from [6].

How to cite

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Freek Wiedijk. "Arrow's Impossibility Theorem." Formalized Mathematics 15.4 (2007): 171-174. <http://eudml.org/doc/267291>.

@article{FreekWiedijk2007,
abstract = {A formalization of the first proof from [6].},
author = {Freek Wiedijk},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {171-174},
title = {Arrow's Impossibility Theorem},
url = {http://eudml.org/doc/267291},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Freek Wiedijk
TI - Arrow's Impossibility Theorem
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 4
SP - 171
EP - 174
AB - A formalization of the first proof from [6].
LA - eng
UR - http://eudml.org/doc/267291
ER -

References

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

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