📜 Theorem, law or theory

Gibbard–Satterthwaite theorem

Teorema de Gibbard-Satterthwaite

Date
1973 (Gibbard) / 1975 (Satterthwaite) · confidence high
Place
United States
Credited to
Allan Gibbard y Mark Satterthwaite
Field
Knowledge & symbols

What was discovered

Social choice theorem showing that every deterministic ordinal voting rule with three or more options is either dictatorial, limits outcomes to two alternatives, or is strategically manipulable; conjectured in 1961 and proved independently by Allan Gibbard and Mark Satterthwaite.

What it led to

  • Design of manipulation-resistant mechanisms
  • Auction theory and mechanism design
  • Understanding of the limits of electoral systems
  • Research on strategic voting

Links

Sources✓ verified 2026-09-28