The Theory of Extensive Form Games
This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree
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Carlos Alós-Ferrer Klaus Ritzberger
The Theory of Extensive Form Games
Springer Series in Game Theory Official Series of the Game Theory Society
Series editor Bernhard von Stengel London School of Economics, UK
More information about this series at http://www.springer.com/series/8107
Carlos Alós-Ferrer • Klaus Ritzberger
The Theory of Extensive Form Games
123
Klaus Ritzberger Department of Economics and Finance Institute for Advanced Studies Vienna, Austria
Carlos Alós-Ferrer Department of Economics University of Cologne Cologne, Germany
ISSN 1868-517X Springer Series in Game Theory ISBN 978-3-662-49942-9 DOI 10.1007/978-3-662-49944-3
ISSN 1868-5188 (electronic) ISBN 978-3-662-49944-3 (eBook)
Library of Congress Control Number: 2016946228 © Springer-Verlag Berlin Heidelberg 2016 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer-Verlag GmbH Berlin Heidelberg
In memoriam Harold W. Kuhn.
Preface
This book has grown out of a decade and a half of joint research that resulted in the articles underlying it (Alós-Ferrer and Ritzberger 2005a,b, Alós-Ferrer and Ritzberger 2008, Alós-Ferrer et al. 2011, Alós-Ferrer and Ritzberger 2013, 2015, 2016a, 2016b, 2016c). In compiling it, we have taken the chance to reorganize the material and modify and slightly expand the articles to take advantage of the book format. For example, a number of intuitive illustrations and a host of examples developed during the exploratory phase were not included in the articles due to space constraints. Those have now been reinserted. Some side results that also did not make it into the published articles have been added. A few examples from the prior literature which inspired our research are now reproduced in order to spare the reader the need to consult other sources. Many figures which we used to gain intuition and showed in research seminars, but were not included in the p
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