Holdings: A course in game theory

A course in game theory:

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Bibliographic Details
Main Authors:	Peters, Hans J. M. 1953- (Author), Vrieze, Koos 1947- (Author)
Format:	Book
Language:	English
Published:	Aachen Verl. der Augustinus-Buchh. 1992
Edition:	1. Aufl.
Series:	Aachener Beiträge zur Mathematik Bd. 6
Subjects:	Spieltheorie
Online Access:	Inhaltsverzeichnis
Physical Description:	148 S. graph. Darst. 21 cm
ISBN:	3860730878

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MARC


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adam_text	CONTENTS 1 INTRODUCTION X 1.1 WHAT IS GAME THEORY? . 1 1.2 EXAMPLES. 1 1.2.1 PRISONER'S DILEMMA . 1 1.2.2 BATTLE OF THE SEXES. 2 1.2.3 MATCHING PENNIES. 5 1.2.4 GLOVE GAME. 6 1.2.5 A BARGAINING GAME. 7 1.2.6 GAMES WITH INCOMPLETE INFORMATION. 8 1.3 SHORT HISTORY OF GAME THEORY. 10 1.4 SHORT OUTLINE OF THIS COURSE. 10 1.5 EXERCISE SECTION . H 1 COOPERATIVE GAME THEORY 2 N-PERSON COOPERATIVE GAMES 15 2.1 DEFINITIONS, EXAMPLES, PRELIMINARY RESULTS. 15 2.2 EXERCISE SECTION . 21 2.3 IMPUTATIONS, DOMINATION. 22 2.4 THE CORE AND THE D CORE. 25 3 BALANCED GAMES 35 3.1 BALANCED GAMES AND THE CORE . 35 3.2 FLOW GAMES WITH VETO CONTROL. 40 3.3 E-CORE, LEAST CORE, AND TAX CORE. 44 3.4 PROOF OF THE DUALITY THEOREM. 47 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/930645081 CONTENTS 4 THE SHAPLEY VALUE 53 4.1 THE SHAPLEY VALUE. 53 4.2 THE POTENTIAL APPROACH TO THE SHAPLEY VALUE. 63 5 BARGAINING 71 5.1 THE BARGAINING PROBLEM. 71 5.2 THE RAIFTA-KALAI-SMORODINSKY SOLUTION. 74 5.3 THE EGALITARIAN SOLUTION. 75 REFERENCES TO PART I. 79 II NONCOOPERATIVE GAME THEORY 6 INTRODUCTION 85 6.1 GAME THEORY. 85 6.2 GAMES IN NORMAL FORM. 87 7 MATRIX GAMES 91 7.1 INTRODUCTION. 91 7.2 MIXED EXTENSIONS OF MATRIX GAMES . 92 7.3 GEOMETRIC SOLUTION FOR MATRIX GAMES. 94 7.4 THE MINMAX-THEOREM FOR MATRIX GAMES . 96 7.5 STRUCTURAL PROPERTIES OF SOLUTIONS.100 7.6 SOME CLASSES OF MATRIX GAMES.108 7.7 MATRIX GAMES AND LINEAR PROGRAMMING.112 8 BIMATRIX GAMES 119 8.1 EXISTENCE OF EQUILIBRIUM POINTS.119 8.2 MATHEMATICAL PROGRAMMING APPROACH .126 8.3 REFINEMENTS OF THE EQUILIBRIUM POINT SET.128 9 REPEATED GAMES 137 9.1 INTRODUCTION.137 9.2 STRATEGIES AND CRITERIA.138 9.3 SOLUTIONS FOR REPEATED GAMES.143
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index_date	2024-07-02T22:38:31Z
indexdate	2024-10-09T16:24:07Z
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spelling	Peters, Hans J. M. 1953- Verfasser (DE-588)124306349 aut A course in game theory by Hans Peters ; Koos Vrieze 1. Aufl. Aachen Verl. der Augustinus-Buchh. 1992 148 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Aachener Beiträge zur Mathematik Bd. 6 Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s DE-604 Vrieze, Koos 1947- Verfasser (DE-588)113368216 aut Aachener Beiträge zur Mathematik Bd. 6 (DE-604)BV035418410 6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016880749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Peters, Hans J. M. 1953- Vrieze, Koos 1947- A course in game theory Aachener Beiträge zur Mathematik Spieltheorie (DE-588)4056243-8 gnd
subject_GND	(DE-588)4056243-8
title	A course in game theory
title_auth	A course in game theory
title_exact_search	A course in game theory
title_exact_search_txtP	A course in game theory
title_full	A course in game theory by Hans Peters ; Koos Vrieze
title_fullStr	A course in game theory by Hans Peters ; Koos Vrieze
title_full_unstemmed	A course in game theory by Hans Peters ; Koos Vrieze
title_short	A course in game theory
title_sort	a course in game theory
topic	Spieltheorie (DE-588)4056243-8 gnd
topic_facet	Spieltheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016880749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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Holdings

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