Arrow's Theorem

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August 31, 2024 4 min read Definitions
Arrow's Impossibility Theorem: A Foundational Result in Social Choice Theory
Mathematics Economics Social Sciences Arrow's Theorem Social Choice Theory Collective Decision-Making Voting Paradoxes Axiomatic Systems
Arrow's Impossibility Theorem is a fundamental result in social choice theory, proving that no perfect method exists for aggregating individual preferences into a collective decision. This article provides a comprehensive overview of the theorem, its axioms, historical context, key events, mathematical formulation, and relevance.
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August 31, 2024 4 min read Definitions
Condorcet Paradox: The Intransitivity of Collective Preferences
Mathematics Political Science Condorcet Paradox Voting Theory Intransitivity Collective Choice Arrow's Theorem
An exploration of the Condorcet Paradox, which reveals how pairwise majority voting can result in cyclical and intransitive preferences among options.
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