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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.
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That day, in August 2013, Patrick got in the car and put the duffel bag on a seat. Inside was a talisman he’d been given by the treatment facility: a hardcover fourth edition of the Alcoholics Anonymous bible known as “The Big Book.”
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 ...