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  • © 1992

Axiomatic Bargaining Game Theory

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Part of the book series: Theory and Decision Library C (TDLC, volume 9)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
  2. Preliminaries

    • Hans J. M. Peters
    Pages 1-11
  3. Nash bargaining solutions

    • Hans J. M. Peters
    Pages 13-45
  4. Monotonicity properties

    • Hans J. M. Peters
    Pages 63-92
  5. Additivity properties

    • Hans J. M. Peters
    Pages 93-105
  6. Risk properties

    • Hans J. M. Peters
    Pages 107-123
  7. Bargaining with a variable number of players

    • Hans J. M. Peters
    Pages 125-134
  8. Alternative models and solution concepts

    • Hans J. M. Peters
    Pages 135-168
  9. Noncooperative models for bargaining solutions

    • Hans J. M. Peters
    Pages 169-192
  10. Solutions for coalitional bargaining games

    • Hans J. M. Peters
    Pages 193-206
  11. Elements from utility theory

    • Hans J. M. Peters
    Pages 207-219
  12. Back Matter

    Pages 221-241

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of Limburg, The Netherlands

    Hans J. M. Peters

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access