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Larry Samuelson - Evolutionary Games and Equilibrium Selection

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Evolutionary game theory is one of the most active and rapidly growing areas of research in economics. Unlike traditional game theory models, which assume that all players are fully rational and have complete knowledge of details of the game, evolutionary models assume that people choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. In games that are repeated many times, low-payoff strategies tend to be weeded out, and an equilibrium may emerge.Larry Samuelson has been one of the main contributors to the evolutionary game theory literature. In Evolutionary Games and Equilibrium Selection, he examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. After providing an overview of the basic issues of game theory and a presentation of the basic models, the book addresses evolutionary stability, the dynamics of sample paths, the ultimatum game, drift, noise, backward and forward induction, and strict Nash equilibria.

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title Evolutionary Games and Equilibrium Selection MIT Press Series On - photo 1

title:Evolutionary Games and Equilibrium Selection MIT Press Series On Economic Learning and Social Evolution
author:Samuelson, Larry.
publisher:MIT Press
isbn10 | asin:0262692198
print isbn13:9780262692199
ebook isbn13:9780585087184
language:English
subjectGame theory, Noncooperative games (Mathematics) , Equilibrium (Economics)
publication date:1998
lcc:HB144.S26 1998eb
ddc:519.3/02433
subject:Game theory, Noncooperative games (Mathematics) , Equilibrium (Economics)
Page i
Evolutionary Games and Equilibrium Selection
Page ii
MIT Press Series on Economic Learning and Social Evolution
General Editor
Ken Binmore, Director of the Economic Learning and Social
Evolution Centre, University College London.
1. Evolutionary Games and Equilibrium Selection, Larry Samuelson, 1997
Page iii
Evolutionary Games and Equilibrium Selection
Larry Samuelson
The MIT Press
Cambridge, Massachusetts
London, England
Page iv
First MIT Press paperback edition, 1998
1997 Massachusetts Institute of Technology
All rights reserved. No part of this publication may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher.
This book was set in Palatino by Windfall Software using ZzTEX.
Printed and bound in the United States of America.
Library of Congress Cataloging-in-Publication Data
Samuelson, Larry, 1953
Evolutionary games and equilibrium selection / Larry Samuelson.
p. cm.(MIT Press series on economic learning and social
evolution)
Includes bibliographical references and index.
ISBN 0-262-19382-5 (hc: alk. paper), 0-262-69219-8 (pb)
1. Game theory. 2. Noncooperative games (Mathematics)
3. Equilibrium (Economics) I. Title. II. Series.
HB144.S26 1997
519.3'02433dc20Picture 2Picture 3Picture 4Picture 596-41989
Picture 6Picture 7Picture 8Picture 9Picture 10Picture 11CIP
Page v
To my parents
Page vii
Contents
Series Foreword
xi
Preface
xiii
1 Introduction
1
Picture 12
1.1 Game Theory
1
Picture 13
1.2 Equilibrium
5
Picture 14
1.3 Evolutionary Games
12
Picture 15
1.4 Evolution
17
Picture 16
1.5 Evolution and Equilibrium
21
Picture 17
1.6 The Path Ahead
34
2 The Evolution of Models
37
Picture 18
2.1 Evolutionarily Stable Strategies
38
Picture 19
2.2 Alternative Notions of Evolutionary Stability
50
Picture 20
2.3 Dynamic Systems
62
3 A Model of Evolution
83
Picture 21
3.1 The Aspiration and Imitation Model
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