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Arrow's theorem assumes as background that any non-degenerate social choice rule will satisfy: [15]. Unrestricted domain — the social choice function is a total function over the domain of all possible orderings of outcomes, not just a partial function.
The work culminated in what Arrow called the "General Possibility Theorem," better known thereafter as Arrow's (impossibility) theorem. The theorem states that, absent restrictions on either individual preferences or neutrality of the constitution to feasible alternatives, there exists no social choice rule that satisfies a set of plausible ...
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.
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"
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He made regular visits to a clinic on West Pico Boulevard where he was injected with a mysterious brown liquid that he was told could cure him. The infusions were nothing but a painful hoax. “I didn’t know anybody that cleaned up and stayed clean,” Peterson, 81, said. “It was an impossibility.”
Area theorem (conformal mapping) (complex analysis) Arithmetic Riemann–Roch theorem (algebraic geometry) Aronszajn–Smith theorem (functional analysis) Arrival theorem (queueing theory) Arrow's impossibility theorem (game theory) Arrow-Lind theorem (welfare economics) Art gallery theorem ; Artin approximation theorem (commutative algebra)