9780486414553

N-Person Game Theory Concepts and Applications

by
  • ISBN13:

    9780486414553

  • ISBN10:

    0486414558

  • Format: Paperback
  • Copyright: 4/17/2013
  • Publisher: Dover Publications
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Summary

N-person game theory analyzes contests in which there are more than two sets of conflicting interests, e.g. a hand of poker or wide-scale warfare. In this sequel to hisTwo-Person Game Theory,the author introduces the necessary mathematical notation (mainly set theory), presents basic concepts, discusses a variety of models, and provides applications to social situations.

Table of Contents

Introduction: Some Mathematical Tools 11(34)
Part I. Basic Concepts
Levels of Game-theoretic Analysis
45(23)
Three-level Analysis of Elementary Games
68(19)
Individual and Group Rationality
87(6)
The Von Neumann-Morgenstern Solution
93(13)
The Shapley Value
106(8)
The Bargaining Set
114(11)
The Kernel
125(12)
Restrictions on Realignments
137(8)
Games in Partition Function Form
145(13)
N-Person Theory and Two-Person Theory Compared
158(12)
Harsanyi's Bargaining Model
170(16)
Part II. Applications
Introduction to Part II
183(3)
A Small Market
186(10)
Large Markets
196(11)
Simple Games and Legislatures
207(15)
Symmetric and Quota Games
222(12)
Coalitions and Power
234(20)
Experiments Suggested by N-Person Game Theory
254(17)
``So Long Sucker'': A Do-it-yourself Experiment
271(13)
The Behavioral Scientist's View
284(17)
Concluding Remarks
301(10)
Notes 311(6)
References 317(4)
Index 321

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