Manipulation of Voting Schemes: A General Result

@article{Gibbard1973ManipulationOV,
  title={Manipulation of Voting Schemes: A General Result},
  author={Allan Gibbard},
  journal={Econometrica},
  year={1973},
  volume={41},
  pages={587-601}
}
  • A. Gibbard
  • Published 1 July 1973
  • Economics
  • Econometrica
It has been conjectured that no system of voting can preclude strategic voting-the securing by a voter of an outcome he prefers through misrepresentation of his preferences. In this paper, for all significant systems of voting in which chance plays no role, the conjecture is verified. To prove the conjecture, a more general theorem in game theory is proved: a gameform is a game without utilities attached to outcomes; only a trivial game form, it is shown, can guarantee that whatever the… Expand
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References

SHOWING 1-7 OF 7 REFERENCES
Utility, Strategy, and Social Decision Rules
Arrow's theorem, 507. — Proof of the Arrow impossibility theorem, 509. — The variations from Arrow's treatment, 511. — Relaxing the postulates, 512. — Intransitive social orderings, 513. —Expand
Social Choice and Individual Values
Originally published in 1951, Social Choice and Individual Values introduced "Arrow's Impossibility Theorem" and founded the field of social choice theory in economics and political science. This newExpand
Social Choice and Individual Values.
If you want to have a destination search and find the appropriate manuals for your products, you can visit this website providing you with many Social Choice And Individual Values. You can find theExpand
Values and Collective Decision Making
  • Philosophy, Politics, and Society, Third Series. Oxford: Blackwell
  • 1967