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MENTAL MODEL · M13338

Voting Methods

Voting Methods
DecideHigh supportDecision Science
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Updated 2026-09-10

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INTRODUCTION

English translation pending.

CORE DEFINITION

Voting methods are rules designed by mathematicians, philosophers, political scientists, and economists for selecting a winner from several alternatives when members disagree. The same problem of collective decision arises in national elections, committee hiring decisions, and choosing where friends meet for dinner. Each method aggregates individual preferences into a collective outcome, and because of Arrow-style impossibility results, no method satisfies every seemingly reasonable condition at once.

SCAFFOLDING EFFECT

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- Rule choice: pick the aggregation rule that best fits the case at hand and reflects the group's preferences. - Paradox detection: check whether the result reverses when options or voters are added. - Monotonicity audit: test whether gaining more support can make a candidate lose.

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Every voting method aggregates individual preferences into a collective result, and the mode of aggregation determines the result. Because of Arrow-style impossibility theorems, no method can satisfy a full set of seemingly reasonable conditions at once; methods may also fail monotonicity, where a candidate gains more support yet loses, or produce paradoxes from changes in who participates.

MINIMUM ACTION

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Source support: Explicit

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    plato.stanford.eduhttps://plato.stanford.edu/entries/voting-methods/ZH · Explicit
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