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
Axiomatic Bargaining Game Theory
β Scribed by Hans J. M. Peters (auth.)
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Leaves
- 244
- Series
- Theory and Decision Library 9
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 bargaininggame, 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 coalitionalbargaining games are included, as well as an auxiliary chapter on the relevant demands from utility theory.
β¦ Table of Contents
Front Matter....Pages i-x
Preliminaries....Pages 1-11
Nash bargaining solutions....Pages 13-45
Independence of irrelevant alternatives and revealed preferences....Pages 47-61
Monotonicity properties....Pages 63-92
Additivity properties....Pages 93-105
Risk properties....Pages 107-123
Bargaining with a variable number of players....Pages 125-134
Alternative models and solution concepts....Pages 135-168
Noncooperative models for bargaining solutions....Pages 169-192
Solutions for coalitional bargaining games....Pages 193-206
Elements from utility theory....Pages 207-219
Back Matter....Pages 221-241
β¦ Subjects
Operation Research/Decision Theory; Economic Theory
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