Social choice theory is the formal study of how individual preferences can be aggregated into a collective decision, examining the properties, fairness, and impossibility constraints of voting rules and welfare functions. Foundational results such as Arrow’s impossibility theorem show that no rank-aggregation rule can simultaneously satisfy a small set of seemingly reasonable fairness axioms. It provides the theoretical underpinning for voting mechanism design in both political and digital governance systems.
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- Landmark results such as Arrow’s impossibility theorem and the Gibbard-Satterthwaite theorem demonstrate fundamental trade-offs in any rank-based aggregation rule. The discipline directly informs Governance mechanism design, supplying the analytical framework used to evaluate quadratic voting, ranked-choice ballots, and token-weighted on-chain governance for desirable properties and manipulation resistance.