Axiomatic Bargaining Game Theory

Axiomatic Bargaining Game Theory

by H.J. Peters
Axiomatic Bargaining Game Theory

Axiomatic Bargaining Game Theory

by H.J. Peters

Paperback(Softcover reprint of hardcover 1st ed. 1992)

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Overview

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 bargaining game, and a prescription assigning an alternative to each bargaining game is called a bargaining solution. 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.
Axiomatic Bargaining Game Theory provides the reader with an up-to-date survey of cooperative, axiomatic models of bargaining, starting with Nash's seminal paper, The Bargaining Problem. It presents an overview of the main results in this area during the past four decades. Axiomatic Bargaining Game Theory 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 coalitional bargaining games are included, as well as an auxiliary chapter on the relevant demands from utility theory.

Product Details

ISBN-13: 9789048141784
Publisher: Springer Netherlands
Publication date: 12/06/2010
Series: Theory and Decision Library C , #9
Edition description: Softcover reprint of hardcover 1st ed. 1992
Pages: 242
Product dimensions: 6.30(w) x 9.45(h) x 0.02(d)

Table of Contents

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.
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