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博弈论课本- 练习题解答 英文清晰版.pdf67页
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博弈论课本- 练习题解答 英文清晰版
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Manual for
A Course in Game Theory
Manual for
A Course in Game Theory
by Martin J. Osborne and Ariel Rubinstein
Martin J. Osborne
Ariel Rubinstein
with the assistance of Wulong Gu
The MIT Press
Cambridge, Massachusetts
London, England c
1994 Martin J. Osborne and Ariel Rubinstein
All rights reserved.
No part of this book may be reproduced in any form by any electronic
or mechanical means
including photocopying, recording, or information storage and
without permission in writing from the authors.
This manual was typeset by the authors, who are greatly indebted to Donald Knuth
creator of T
X , Leslie Lamport
the creator of L T X , and Eberhard Mattes
the creator E E
for generously putting superlative software in the public domain, and to Ed E
Sznyter for providing critical help with the macros we use to execute our numbering
Version 1.2,
Contents Preface
Equilibrium 1 Exercise 18.2
First price auction
1 Exercise 18.3
Second price auction 1 Exercise 18.5
War of attrition
2 Exercise 19.1
Location game 2 Exercise 20.2
Necessity of conditions in Kakutani’s theorem 3 Exercise 20.4
Symmetric games 3 Exercise 24.1
Increasing payo?s in strictly competitive game 3 Exercise 27.2
BoS with imperfect information 4 Exercise 28.1
Exchange game 4 Exercise 28.2
More information
may hurt 4
Correlated,
Evolutionary
Equilibrium 7 Exercise 35.1
Guess the average
7 Exercise 35.2
Investment race 7 Exercise 36.1
Guessing right
8 Exercise 36.2
Air strike
8 Exercise 36.3
Technical result on convex sets
9 Exercise 42.1
Examples of Harsanyi’s puri?cation 9 Exercise 48.1
Example of correlated equilibrium 10 Exercise 51.1
Existence of ESS in 2 × 2 game 10
Rationalizability and
Elimination of
Actions 11 Exercise 56.3
Example of rationaliza
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