Axiomatic Bargaining Game Theory

1. Auflage. Softcover version of original hardcover Auflage 1992
ISBN: 978-90-481-4178-4
Verlag: Springer Netherlands

Buch, Englisch, 242 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 388 g

Reihe: Theory and Decision Library C

Many social or economic conflict situations can be modeled by specifying the alternatives on which the involved parties may agree, and a special alternative which summarizes what happens in the event that no agreement is reached. Such a model is called a , and a prescription assigning an alternative to each bargaining game is called a . In the cooperative game-theoretical approach, bargaining solutions are mathematically characterized by desirable properties, usually called axioms. In the noncooperative approach, solutions are derived as equilibria of strategic models describing an underlying bargaining procedure.
provides the reader with an up-to-date survey of cooperative, axiomatic models of bargaining, starting with Nash's seminal paper, . It presents an overview of the main results in this area during the past four decades. provides a chapter on noncooperative models of bargaining, in particular on those models leading to bargaining solutions that also result from the axiomatic approach.
The main existing axiomatizations of solutions for games are included, as well as an auxiliary chapter on the relevant demands from utility theory.

Zielgruppe

Research

Autoren/Hrsg.

Peters, H. J.

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik

Inhaltsverzeichnis

Preliminaries.- Nash bargaining solutions.- Independence of irrelevant alternatives and revealed preferences.- Monotonicity properties.- Additivity properties.- Risk properties.- Bargaining with a variable number of players.- Alternative models and solution concepts.- Noncooperative models for bargaining solutions.- Solutions for coalitional bargaining games.- Elements from utility theory.