Arrow's theorem shows that if a society wishes to make decisions while always avoiding such self-contradictions, it cannot use ranked information alone.

Oct 13, 2014 · Arrow’s theorem, stated in Section 3.2, tells us that, except in the very simplest of cases, no aggregation procedure whatsoever meets all of these conditions. The tenor of …

The impossibility theorem considers cases in which three or more agents make a collective choice from three or more alternatives in situations as diverse as democratic voting, establishing …

Aug 23, 2025 · What Is Arrow's Impossibility Theorem? Arrow's Impossibility Theorem reveals the inherent challenges in ranked voting systems, demonstrating why a fair preference order is...

In the language of decisiveness, Arrow’s theorem says that there is a decisive coalition that has only one member. A fundamental question is whether there are any decisive coalitions. The …

Jun 11, 2025 · Arrow's Impossibility Theorem states that no voting system can simultaneously satisfy a set of reasonable conditions that ensure fairness and consistency in collective …

Apr 5, 2020 · This counter-intuitive assertion is one of the better known results in the social and decision sciences; it is part of Arrow's 1972 Nobel Prize. Arrow's first condition, unrestricted …

Oct 19, 2023 · Arrow's impossibility theorem states that it is impossible to have a voting system that delivers fair and sensible results on a consistent basis.

We say a subset S of voters are a dictating set if, whenever everyone in S puts the same personal preference list into the voting system, that list is the societal preference list, regardless of what …

Guide to what is Arrow's Impossibility Theorem. We explain its meaning, conditions, criteria along with an example.