In a 1973 article, Gibbard exploits Arrow's impossibility theorem from 1951 to prove the result we now know as Gibbard's theorem. Independently, Satterthwaite proved the same result in his PhD dissertation in 1973, then published it in a 1975 article.
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The connection between Arrow's theorem and the Gibbard-Satterthwaite theorem is further strengthened by providing a single proof that yields both results ...
Difference between Arrow and Gibbard-Satterthawite theorem
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May 31, 2018 · The difference is that Arrow's theorem says that if you want to have two desirable conditions in your voting system (unanimity and independence of irrelevant ...
Arrow's Theorem concerns social welfare functions, not social choice functions, and so we'll first need to discuss some properties of social welfare functions.
The Gibbard–Satterthwaite theorem has close connections to Arrow's Impossibility Theorem. The property of unanimity of social welfare functionals is related ...
This short note offers some insights on Arrow's theorem for social choice functions and the Gibbard-Satterthwaite theorem on the manipulatibility of voting ...
Philip Reny (1999) further emphasizes the connection between the Gibbard–Satterthwaite theorem and Arrow's theorem by ingeniously providing a 'shared' simple ...
Nov 30, 2018 · 2.2 Arrow and Gibbard-Satterthwaite theorems. Theorem 1 (Arrow) If a SWF is Pareto efficient and IIA, then it is dictatorial. Theorem 2 (Gibbard ...
A voting system is demonstrated which meets Arrow's 5 conditions and also satisfies the Gibbard-Satterthwaite demand for strategyproofness.
The key difference between the two theorems is that Gibbard–Satterthwaite applies only to ranked voting. Because of its broader scope, Gibbard's theorem ...