WebThe main theorem of this paper is: The Gibbard-Satterthwaite theorem: A strategy-proof voting rule that is onto is dictatorial if the number of objects is at least three. 3 Some … WebThe proof crucially uses reverse hypercontractivity in addition to several ideas from the two previous proofs. Much of the work is devoted to understanding functions of a single voter, and in particular we also prove a quantitative Gibbard-Satterthwaite theorem for one voter. 1 …
Impossibility theorems are modified and unified - JSTOR
WebFeb 1, 2000 · The domain 1 Of the many proofs of the Gibbard-Satterthwaite theorem on the domain of all profiles of strong orders (e.g., Gibbard (1973), Satterthwaite (1975), Schmeidler and Sonnenschein ... Webrem as a corollary of Arrow’s (im)possibility theorem. The presentation we retain will distinguish the formal setup, the links between the two theorems, the proof of the Gibbard-Satterthwaite theorem, and that Arrow’s theorem in turn can be seen as a corollary if we directly prove the Gibbard-Satterthwaite theorem. 2.1 Formal set-up 回転 お皿
Gibbard-Satterthwaite Theorem SpringerLink
Web2 days ago · The Gibbard-Satterthwaite theorem establishes the difficulties of designing strategy-proof and non-trivial rules, whenever agents’ preferences are unrestricted: The class of all strategy-proof and unanimous rules is reduced to the unsatisfactory family of dictatorial rules. 1 Strategy-proofness is a strong requirement, but so is the ... WebGibbard's theorem is itself generalized by Gibbard's 1978 theorem and Hylland's theorem, which extend these results to non-deterministic processes, i.e. where the … WebSatterthwaite MA, Sonnenschein H (1981) Strategy-proof allocation mechanism at differentiable points. Rev Econ Stud 48: 587–597. Google Scholar Schmeidler D, Sonnenschein H (1978) Two proofs of the Gibbard-Satterthwaite theorem on the possibility of a strategy-proof social choice function. 回転シーソー 遊具