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       Hardness of Approximation Between P and NP

      Aviad Rubinstein

       books.acm.org

       http://books.acm.org

      ISBN: 978-1-94748-723-9 hardcover

      ISBN: 978-1-94748-720-8 paperback

      ISBN: 978-1-94748-722-2 ePub

      ISBN: 978-1-94748-721-5 eBook

      Series ISSN: 2374-6769 print 2374-6777 electronic

      DOIs:

      10.1145/3241304 Book

      10.1145/3241304.3241305 Preface

      10.1145/3241304.3241306 Chapter 1

      10.1145/3241304.3241307 Chapter 2

      10.1145/3241304.3241308 Chapter 3

      10.1145/3241304.3241309 Chapter 4

      10.1145/3241304.3241310 Chapter 5

      10.1145/3241304.3241311 Chapter 6

      10.1145/3241304.3241312 Chapter 7

      10.1145/3241304.3241313 Chapter 8

      10.1145/3241304.3241314 Chapter 9

      10.1145/3241304.3241315 Chapter 10

      10.1145/3241304.3241316 Chapter 11

      10.1145/3241304.3241317 Chapter 12

      10.1145/3241304.3241318 Chapter 13

      10.1145/3241304.3241319 Chapter 14

      10.1145/3241304.3241320 Chapter 15

      10.1145/3241304.3241321 Chapter 16

      10.1145/3241304.3241322 References/Index/Bios

      A publication in the ACM Books series, #24

      Editor in Chief: M. Tamer Özsu, University of Waterloo

      This book was typeset in Arnhem Pro 10/14 and Flama using ZZTEX.

      First Edition

      10 9 8 7 6 5 4 3 2 1

       Contents

Preface
Acknowledgments
PART I OVERVIEW
Chapter 1 The Frontier of Intractability
1.1 PPAD: Finding a Needle You Know Is in the Haystack
1.2 Quasi-Polynomial Time and the Birthday Paradox
1.3 Approximate Nash Equilibrium
Chapter 2 Preliminaries
Notation
2.1 Nash Equilibrium and Relaxations
2.2 PPAD and END-OF-A-LINE
2.3 Exponential Time Hypotheses
2.4 PCP Theorems
2.5 Learning Theory
2.6 Information Theory
2.7 Useful Lemmata

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