Social Choice Theory

A Modern Approach with Computational Aspects
Technical University of Munich
This book provides a contemporary perspective on classic problems of social choice theory, the study of how individual preferences can be aggregated into collective decisions. Starting from foundational concepts in choice theory and Arrow's seminal impossibility theorem, it explores restricted preference domains, scoring rules, Condorcet extensions, majoritarian social choice functions, strategic manipulation, and convex sets of alternatives. Throughout, special emphasis is placed on axiomatic characterizations, computational considerations, and positive results that complement the well-known impossibility theorems.
This manuscript is a work in progress and will be revised and expanded regularly.
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Please cite as:
Felix Brandt. Social Choice Theory: A Modern Approach with Computational Aspects. Manuscript available at www.social-choice-theory.com, 2026.