The Pre-Kernel as a Tractable Solution for Cooperative Games An Exer

This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation

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Holger Ingmar Meinhardt

The Pre-Kernel as a Tractable Solution for Cooperative Games An Exercise in Algorithmic Game Theory

THEORY AND DECISION LIBRARY C Game Theory, Social Choice, Decision Theory, and Optimization Volume 45

Editors-in-Chief Hervé Moulin, Glasgow, Scotland, United Kingdom Hans Peters, Maastricht, The Netherlands Honorary Editor Stef H. Tijs, Tilburg, The Netherlands Editorial Board Jean-Jacques Herings, Maastricht, The Netherlands Matthew O. Jackson, Stanford, CA, USA Mamuro Kaneko, Tokyo, Japan Hans Keiding, Copenhagen, Denmark Bezalel Peleg, Jerusalem, Israel Clemens Puppe, Karlsruhe, Germany Alvin E. Roth, Stanford, CA, USA David Schmeidler, Tel Aviv, Israel Reinhard Selten, Bonn, Germany William Thomson, Rochester, NJ, USA Rakesh Vohra, Evanston, IL, USA Peter Wakker, Rotterdam, The Netherlands

For further volumes: http://www.springer.com/series/6618

Holger Ingmar Meinhardt

The Pre-Kernel as a Tractable Solution for Cooperative Games An Exercise in Algorithmic Game Theory

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Holger Ingmar Meinhardt Institute of Operations Research Karlsruhe Institute of Technology (KIT) Karlsruhe Germany

ISSN 0924-6126 ISSN 2194-3044 (electronic) ISBN 978-3-642-39548-2 ISBN 978-3-642-39549-9 (eBook) DOI 10.1007/978-3-642-39549-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013950138 c Springer-Verlag Berlin Heidelberg 2014  This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty,