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Axiomatic Theory of Bargaining with a Variable Number of Agents - William Thomson

Axiomatic Theory of Bargaining with a Variable Number of Agents

Hardcover Published: 24th February 1989
ISBN: 9780521343831
Number Of Pages: 222

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This book extrapolates on the Nash (1950) treatment of the bargaining problem to consider the situation where the number of bargainers may vary. The authors formulate axioms to specify how solutions should respond to such changes, and provide new characterizations of all the major solutions as well as the generalizations of these solutions.

'This is one of the best books ever written on normative collective choice.' Ehud Kalai, Social Choice and Welfare 'For both the sympathetic and the critical reader, the well-written monograph is the reference book covering this strand of literature.' Hans Haller, Mathematical Reviews

Acknowledgments
Preliminaries
Axiomatic theory of bargaining with a fixed number of agents
Population monotonicity and the Kalai-Smorodinsky solution
Population monotonicity and the egalitarian solution
Truncated egalitarian and monotone path solutions
Guarantees and opportunities
Stability and the Nash solution
Stability without pareto-optimality
Stability and the leximin solution
Population monotonicity, weak stability and the egalitarian solution
Stability and collectively rational solutions
Invariance under replication and juxtaposition
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521343831
ISBN-10: 0521343836
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 222
Published: 24th February 1989
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.6
Weight (kg): 0.5

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