Description: Axiomatic Theory of Bargaining with a Variable Number of Agents This book extrapolates on the Nash (1950) treatment of the bargaining problem to consider the situation where the number of bargainers may vary. William Thomson (Author), Terje Lensberg (Author) 9780521027038, Cambridge University Press Paperback / softback, published 22 June 2006 224 pages 22.8 x 15.2 x 1.6 cm, 0.339 kg '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 In this book, Professor Thomson and Professor Lensberg extrapolate upon 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 generalizations of these solutions. The book also contains several other comparative studies of solutions in the context of a variable number of agents. Much of the theory of bargaining can be rewritten within this context. The pre-eminence of the three solutions at the core of the classical theory is confirmed. These are the solutions introducted by Nash (1950) and two solutions axiomatized in the 1970s (Kalai-Smorodinsky and egalitarian solutions). Acknowledgments 1. Preliminaries 2. Axiomatic theory of bargaining with a fixed number of agents 3. Population monotonicity and the Kalai-Smorodinsky solution 4. Population monotonicity and the egalitarian solution 5. Truncated egalitarian and monotone path solutions 6. Guarantees and opportunities 7. Stability and the Nash solution 8. Stability without pareto-optimality 9. Stability and the leximin solution 10. Population monotonicity, weak stability and the egalitarian solution 11. Stability and collectively rational solutions 12. Invariance under replication and juxtaposition Bibliography Index. Subject Areas: Econometrics [KCH]
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BIC Subject Area 1: Econometrics [KCH]
Number of Pages: 224 Pages
Language: English
Publication Name: Axiomatic Theory of Bargaining with a Variable Number of Agents
Publisher: Cambridge University Press
Publication Year: 2006
Subject: Economics
Item Height: 228 mm
Item Weight: 339 g
Type: Textbook
Author: Terje Lensberg, William Thomson
Item Width: 152 mm
Format: Paperback
