Judgment Aggregation: A Primer (Synthesis Lectures on Artificial Intelligence and Machine Learning, 27) - Softcover

Grossi, Davide; Pigozzi, Gabriella

9781627050876: Judgment Aggregation: A Primer (Synthesis Lectures on Artificial Intelligence and Machine Learning, 27)

Softcover

ISBN 10: 1627050876 ISBN 13: 9781627050876

Publisher: Morgan & Claypool Publishers, 2014

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Judgment aggregation is a mathematical theory of collective decision-making. It concerns the methods whereby individual opinions about logically interconnected issues of interest can, or cannot, be aggregated into one collective stance. Aggregation problems have traditionally been of interest for disciplines like economics and the political sciences, as well as philosophy, where judgment aggregation itself originates from, but have recently captured the attention of disciplines like computer science, artificial intelligence and multi-agent systems. Judgment aggregation has emerged in the last decade as a unifying paradigm for the formalization and understanding of aggregation problems. Still, no comprehensive presentation of the theory is available to date. This Synthesis Lecture aims at filling this gap presenting the key motivations, results, abstractions and techniques underpinning it.

Table of Contents: Preface / Acknowledgments / Logic Meets Social Choice Theory / Basic Concepts / Impossibility / Coping with Impossibility / Manipulability / Aggregation Rules / Deliberation / Bibliography / Authors' Biographies / Index

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About the Author

University of Liverpool, UK

Review

“For better collaboration and mutual understanding from these different fields, it would be great if there were an accessible textbook as well as an up-to-date survey of the progress in judgment aggregation. This book has just provided the desiderata...This makes the book an excellent reference for beginners who are eager to dive into the frontiers of judgment aggregation. The book also merits intensive reading because it provides the most clear and accessible proofs of the main theorems in judgment aggregation, though some basic knowledge of propositional logic is assumed. Some hard and long proofs are presented with diagrams illustrating the logical structures of them, making the book very user-friendly. Moreover, the proof method of using (ultra)filters for the impossibility theorems is general enough to be adapted to prove other impossibility results.” – Xuefeng Wen

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