Rubenstein - A Course in Game Theory - SOLUTIONS.pdf - Najnowsze ksiazki(15) - walbo48

Solution Manual for

A Course in Game Theory

Solution 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

or mechanical means (including photocopying, recording, or information storage and

retrieval) without permission in writing from the authors.

This manual was typeset by the authors, who are greatly indebted to Donald Knuth (the

creator of T E X), Leslie Lamport (the creator of L A T E X), and Eberhard Mattes (the creator

of emT E X) for generously putting superlative software in the public domain, and to Ed

Sznyter for providing critical help with the macros we use to execute our numbering

scheme.

Version 1.2, 2005/1/17

Contents

Preface ix

2 Nash 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 payos 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

3 Mixed, Correlated, and 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 purication) 9

Exercise 48.1 (Example of correlated equilibrium) 10

Exercise 51.1 (Existence of ESS in 2 × 2 game) 10

4 Rationalizability and Iterated Elimination of Dominated Actions 11

Exercise 56.3 (Example of rationalizable actions) 11

Exercise 56.4 (Cournot duopoly) 11

Exercise 56.5 (Guess the average) 11

Exercise 57.1 (Modied rationalizability in location game) 11

Exercise 63.1 (Iterated elimination in location game) 12

Exercise 63.2 (Dominance solvability) 12

Exercise 64.1 (Announcing numbers) 12

Exercise 64.2 (Non-weakly dominated action as best response) 12

5 Knowledge and Equilibrium 13

Rubenstein - A Course in Game Theory - SOLUTIONS.pdf

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