Abstract
This article presents formalizations in higher-order logic of two proofs of Arrow's impossibility theorem due to Geanakoplos. The Gibbard-Satterthwaite theorem is derived as a corollary. Lacunae found in the literature are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 289-304 |
| Number of pages | 16 |
| Journal | Journal of Automated Reasoning |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2009 |
Keywords
- Arrow's theorem
- Gibbard-Satterthwaite theorem
- Higher-order logic
- Social choice theory
- Theorem proving