Indian Institute of Management Visakhapatnam

Your cart is empty.

A Course on Cooperative Game Theory by Satya R. Chakravarty

By: Satya R. Chakravarty [Author]Contributor(s): Manipushpak Mitra | Palash SarkarPublisher: New Delhi Cambridge University Press 2015Description: viii, 268 pages; illustrations: 24 cmISBN: 9781107691322Subject(s): Mathematics | Game TheoryDDC classification: 519.3
Contents:
Preface 1. Introduction and motivation page 2. Basics and preliminaries 3. The core and some related solutions 4. The bargaining set, kernel and nucleolus 5. The Shapley value 6. The core, Shapley value and Weber set 7. Voting games 8. Mathematical matching 9. Non-transferable utility cooperative games 10. Linear programming 11. Algorithmic aspects of cooperative game theory 12. Weighted majority games 13. Stable matching algorithm References Index
Abstract: Cooperative game theory deals with those situations where objectives of the participants of a game are partially cooperative and partially conflicting. While the book mainly discusses transferable utility games, there is a brief analysis of non-transferable utility games. Chapters 1 to 9 focus on alternative solution concepts to cooperative game theoretic problems, followed by the issues related to computation of solutions in the next four chapters. The mathematical techniques employed in demonstrating the results will be helpful for solving problems in game theory. The authors have explained the concepts and results using extensive verbal reasoning. Integration of theory and practice helps the readers understand the theoretical issues first and then see their practical relevance. This book is a good starting point for researchers in cooperative games. Key features ? Discusses the recent developments in the area of cooperative game theory ? Presents an up-to-date systematic treatment of the concepts including core, stable set, bargaining set, kernel, nucleolus, the Shapley value and the Weber set ? Includes topics like voting games, mathematical matching, bargaining problems and computational algorithms of alternative solution concepts ? Provides intuitive explanations and illustrations of mathematical results
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Date due Barcode
Book Book Indian Institute of Management Visakhapatnam - Andhra University
519.3 (Browse shelf) Available 001412
Book Book Indian Institute of Management Visakhapatnam
General Stacks 		Non-fiction 519.3 CHA (Browse shelf) Available 001134

Preface 1. Introduction and motivation page 2. Basics and preliminaries 3. The core and some related solutions 4. The bargaining set, kernel and nucleolus 5. The Shapley value 6. The core, Shapley value and Weber set 7. Voting games 8. Mathematical matching 9. Non-transferable utility cooperative games 10. Linear programming 11. Algorithmic aspects of cooperative game theory 12. Weighted majority games 13. Stable matching algorithm References Index

Cooperative game theory deals with those situations where objectives of the participants of a game are partially cooperative and partially conflicting. While the book mainly discusses transferable utility games, there is a brief analysis of non-transferable utility games. Chapters 1 to 9 focus on alternative solution concepts to cooperative game theoretic problems, followed by the issues related to computation of solutions in the next four chapters. The mathematical techniques employed in demonstrating the results will be helpful for solving problems in game theory. The authors have explained the concepts and results using extensive verbal reasoning. Integration of theory and practice helps the readers understand the theoretical issues first and then see their practical relevance. This book is a good starting point for researchers in cooperative games. Key features ? Discusses the recent developments in the area of cooperative game theory ? Presents an up-to-date systematic treatment of the concepts including core, stable set, bargaining set, kernel, nucleolus, the Shapley value and the Weber set ? Includes topics like voting games, mathematical matching, bargaining problems and computational algorithms of alternative solution concepts ? Provides intuitive explanations and illustrations of mathematical results


There are no comments on this title.

to post a comment.

Copyright © 2021 Indian Institute of Management Visakhapatnam
Koha v20.05