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 Complexity-Intelligence Strategy by Roger A McCain
Cover of the book Air Pollution Episodes by Roger A McCain
Cover of the book Probability and Finance Theory by Roger A McCain
Cover of the book Orchid Biotechnology III by Roger A McCain
Cover of the book Social Media Content Analysis by Roger A McCain
Cover of the book Clinical Research Monitoring by Roger A McCain
Cover of the book Developing Countries in the World Economy by Roger A McCain
Cover of the book Unlocking Consciousness by Roger A McCain
Cover of the book Mathematical Analysis for Machine Learning and Data Mining by Roger A McCain
Cover of the book Environmental Applications of Nanomaterials by Roger A McCain
Cover of the book Understanding Advanced Organic and Analytical Chemistry by Roger A McCain
Cover of the book Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications by Roger A McCain
Cover of the book Nanomaterials for Energy Conversion and Storage by Roger A McCain
Cover of the book Runnerdotes by Roger A McCain
Cover of the book Analytic Number Theory for Undergraduates 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