Cycles and Social Choice

The True and Unabridged Story of a Most Protean Paradox

Nonfiction, Social & Cultural Studies, Political Science, Government, Health & Well Being, Psychology
Cover of the book Cycles and Social Choice by Thomas Schwartz, Cambridge University Press
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Author: Thomas Schwartz ISBN: 9781316850787
Publisher: Cambridge University Press Publication: February 28, 2018
Imprint: Cambridge University Press Language: English
Author: Thomas Schwartz
ISBN: 9781316850787
Publisher: Cambridge University Press
Publication: February 28, 2018
Imprint: Cambridge University Press
Language: English

The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. The discovery of the sources and consequences of such cycles, under majority rule and countless other regimes, constitutes much of the mathematical theory of voting and social choice. This book explores the big questions posed by the paradox of voting: positive questions about how to predict outcomes and explain observed stability, and normative questions about how to hold elections, how to take account of preference intensities, the relevance of social welfare to social choice, and challenges to formal 'rationality', individual and social. The overall lesson is that cycles are facts, ubiquitous, and consequential in non-obvious ways, not puzzles to be solved, much less maladies or misfortunes to be avoided or regretted.

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The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. The discovery of the sources and consequences of such cycles, under majority rule and countless other regimes, constitutes much of the mathematical theory of voting and social choice. This book explores the big questions posed by the paradox of voting: positive questions about how to predict outcomes and explain observed stability, and normative questions about how to hold elections, how to take account of preference intensities, the relevance of social welfare to social choice, and challenges to formal 'rationality', individual and social. The overall lesson is that cycles are facts, ubiquitous, and consequential in non-obvious ways, not puzzles to be solved, much less maladies or misfortunes to be avoided or regretted.

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