Skip navigation

Bookboon.com Download free eBooks and textbooks

Choose a category

Cooperative Games

An Introduction to Game Theory – Part II

Cooperative Games
Not enough reviews yet
ISBN: 978-87-403-2136-4
1 edition
Pages : 99
  • Price: 49.50 kr
  • Price: €5.99
  • Price: £5.99
  • Price: ₹110
  • Price: $5.99
  • Price: 49.50 kr
  • Price: 49.50 kr

Download for FREE in 4 easy steps...

We are terribly sorry, but in order to download our books or watch our videos, you will need a browser that allows JavaScript.
Can we interest you in some FREE eBooks and relevant Bookboon updates?
After entering your email address, a confirmation email will be sent to your inbox. Please approve this email to receive our weekly eBook update. We will not share your personal information with any third party.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: €5.99 p/m
  • Start a 30-day free trial. After trial: £4.99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3.99 p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
  • Start a 30-day free trial. After trial: 39.99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

About the book

  1. Description
  2. Content

Description

Part II of An Introduction to Game Theory gives a thorough presentation of cooperative game theory at a level suitable for undergraduate students. The focus is on coalitional games with transferable utility with the core, the nucleolus and the Shapley value as the most important concepts studied. A brief chapter on games without transferable utility exemplified with exchange economies is also included. Precise definitions and full proofs of all results are given. The book contains plenty of exercises. Knowledge of Mathematics corresponding to one semester of university studies is required.

About the author

Lars-Åke Lindahl obtained his mathematical education at Uppsala University and Institut Mittag-Leffler and got a Ph.D. in Mathematics in 1971 with a thesis on Harmonic Analysis. Shortly thereafter he was employed as senior lecturer in Mathematics at Uppsala University, where he remained until his retirement in 2010 and for more than 20 years served as chairman of the Math. Department.

He has given lectures in a variety of mathematical subjects such as Calculus, Linear Algebra, Fourier Analysis, Complex Analysis, Convex Optimization, Game Theory and Probability Theory, and he has also written several textbooks and compendia. After his retirement, he has been a consultant to Al Baha University, Saudi Arabia, with a mission to assist in the development of their master's program in Mathematics.

Content

  1. Preface 
  2. Coalitional Games 
    1. Definition
    2. Imputations 
    3. Examples 
    4. The core 
    5. Games with nonempty core 
    6. The nucleolus 
  3. The Shapley Value 
    1. The Shapley solution 
    2. Alternative characterization of the Shapley value 
    3. The Shapley-Shubik power index 
  4. Coalitional Games without Transferable Utility 
    1. Coalitional games without transferable utility 
    2. Exchange economies 
    3. The Nash bargaining solution 
  5. Appendix 1: Convexity 
  6. Appendix 2: Kakutani’s fixed point theorem 
  7. Brief historical notes 
  8. Answers and hints for the exercises
  9. Index

This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.