Value Solutions in Cooperative Games

Nonfiction, Science & Nature, Mathematics, Game Theory, Business & Finance, Economics
Cover of the book Value Solutions in Cooperative Games by Roger A McCain, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Roger A McCain ISBN: 9789814417419
Publisher: World Scientific Publishing Company Publication: March 7, 2013
Imprint: WSPC Language: English
Author: Roger A McCain
ISBN: 9789814417419
Publisher: World Scientific Publishing Company
Publication: March 7, 2013
Imprint: WSPC
Language: English

This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered.

Contents:

  • Value Solutions for Superadditive Transferable Utility Games in Coalition Function Form
  • Zeuthen–Nash Bargaining
  • Nontransferable Utility Games and Games in Partition Function Form
  • A Shapley Value Algorithm for Games in Partition Function Form
  • Extension of the Nucleolus to Nontransferable Utility Games in Partition Function Form
  • A Core Imputation with Variable Bargaining Power
  • Bargaining Power Biform Games
  • Intertemporal Cooperative Games: A Sketch of a Theory
  • A Theory of Enterprise

Readership: Graduate students and researchers in the field of game theory.
Key Features:

  • Proposes a value solution for games of two or more players that: (i) is the Nash bargaining solution in a special case, (ii) allows for unsymmetrical bargaining power, (iii) allows for group-to-group bargaining, and (iv) is always a point in the core of the game if the game is not null
  • Uses methods from mathematical welfare economics to bridge the gap from non-transferable utility to transferable utility
  • Relying on Biform Games (Brandenburger and Stuart), constructs a model of cooperative value creation in coalitions formed by non-cooperative search and matching
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered.

Contents:

Readership: Graduate students and researchers in the field of game theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Materials Concepts for Solar Cells by Roger A McCain
Cover of the book Edward Teller Lectures by Roger A McCain
Cover of the book Recent Advances in Mathematics, Statistics and Computer Science by Roger A McCain
Cover of the book San's Home by Roger A McCain
Cover of the book Luttinger Model by Roger A McCain
Cover of the book Mechanics of Elastic Solids by Roger A McCain
Cover of the book Contingent Convertibles [CoCos] by Roger A McCain
Cover of the book The Value of Uncertainty by Roger A McCain
Cover of the book Quantitative Financial Analytics by Roger A McCain
Cover of the book Handbook of Porphyrin Science (Volumes 26 30) by Roger A McCain
Cover of the book International Finance and Open-Economy Macroeconomics by Roger A McCain
Cover of the book Beam Dynamics in High Energy Particle Accelerators by Roger A McCain
Cover of the book Nuclear and Radiation Physics in Medicine by Roger A McCain
Cover of the book Numerical Modeling of Ocean Dynamics by Roger A McCain
Cover of the book Mapping Managerial Implications of Green Strategy by Roger A McCain
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy