The Mathematics of Coordinated Inference A Study of Generalized Hat
Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat colo
- PDF / 959,506 Bytes
- 114 Pages / 439.43 x 683.15 pts Page_size
- 32 Downloads / 181 Views
Christopher S. Hardin Alan D. Taylor
The Mathematics of Coordinated Inference A Study of Generalized Hat Problems
Developments in Mathematics VOLUME 33 Series Editors: Krishnaswami Alladi, University of Florida Hershel M. Farkas, Hebrew University of Jerusalem
For further volumes: http://www.springer.com/series/5834
Christopher S. Hardin • Alan D. Taylor
The Mathematics of Coordinated Inference A Study of Generalized Hat Problems
123
Christopher S. Hardin Jane Street New York, NY, USA
Alan D. Taylor Department of Mathematics Union College Schenectady, NY, USA
ISSN 1389-2177 ISBN 978-3-319-01332-9 ISBN 978-3-319-01333-6 (eBook) DOI 10.1007/978-3-319-01333-6 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013948882 Mathematics Subject Classification (2010): 03E05, 03E17 © Springer International Publishing Switzerland 2013 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, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Novem C.S.H. To Joel and Alan A.D.T.
Preface
This book deals with the question of how successfully one can predict the value of an arbitrary function at one or more points of its domain based on some knowledge of its values at other points. In large part because of the axiom of choice, the degree of success turns out to be quite remarkable in a
Data Loading...
