Arrow's Impossibility Theorem

Freek Wiedijk

Formalized Mathematics (2007)

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

Abstract

top
A formalization of the first proof from [6].

How to cite

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.