Arrow and Gibbard-Satterthwaite

 

Title: Arrow and Gibbard-Satterthwaite
Author: Tobias Nipkow
Submission date: 2008-09-01
Abstract: This article formalizes two proofs of Arrow's impossibility theorem due to Geanakoplos and derives the Gibbard-Satterthwaite theorem as a corollary. One formalization is based on utility functions, the other one on strict partial orders.

An article about these proofs is found here.
BibTeX:
@article{ArrowImpossibilityGS-AFP,
  author  = {Tobias Nipkow},
  title   = {Arrow and Gibbard-Satterthwaite},
  journal = {Archive of Formal Proofs},
  month   = sep,
  year    = 2008,
  note    = {\url{http://isa-afp.org/entries/ArrowImpossibilityGS.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License