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Because of this example, some authors credit Condorcet with having given an intuitive argument that presents the core of Arrow's theorem. [20] However, Arrow's theorem is substantially more general; it applies to methods of making decisions other than one-man-one-vote elections, such as markets or weighted voting, based on ranked ballots.
Kenneth Joseph Arrow (August 23, 1921 – February 21, 2017) was an American economist, mathematician and political theorist.He received the John Bates Clark Medal in 1957, and the Nobel Memorial Prize in Economic Sciences in 1972, along with John Hicks.
The Arrow information paradox (information paradox for short, or AIP [1]), and occasionally referred to as Arrow's disclosure paradox, named after Kenneth Arrow, American economist and joint winner of the Nobel Memorial Prize in Economics with John Hicks, [2] is a problem faced by companies when managing intellectual property across their boundaries.
Arrow's impossibility theorem states that for three and more candidates, the only unanimous voting rule for which there is always a Condorcet winner is a dictatorship. The usual proof of Arrow's theorem is combinatorial. Kalai [13] gave an alternative proof of this result in the case of three candidates using Fourier analysis.
One of Zeno's paradoxes about the impossibility of motion; From the surname Arrow, it may mean: Kenneth Arrow's impossibility theorem about social choice and voting; Arrow information paradox: "its value for the purchaser is not known until he has the information, but then he has in effect acquired it without cost"
In mathematics, an impossibility theorem is a theorem that demonstrates a problem or general set of problems cannot be solved. These are also known as proofs of impossibility, negative proofs, or negative results. Impossibility theorems often resolve decades or centuries of work spent looking for a solution by proving there is no solution.
Gibbard's theorem can be proven using Arrow's impossibility theorem. [citation needed] Gibbard's theorem is itself generalized by Gibbard's 1978 theorem [3] and Hylland's theorem, [4] which extend these results to non-deterministic processes, i.e. where the outcome may not only depend on the agents' actions but may also involve an element of ...
Impossibility theorem could refer to: Proof of impossibility, ... Arrow's impossibility theorem in welfare economics This page was last edited on ...