Introduction to mathematical consensus theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1980
|
| Schriftenreihe: | Lecture notes in pure and applied mathematics
59 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 179 S. |
| ISBN: | 0824710010 |
Internformat
MARC
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| 245 | 1 | 0 | |a Introduction to mathematical consensus theory |c K. H. Kim and Fred W. Roush |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1980 | |
| 300 | |a VI, 179 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in pure and applied mathematics |v 59 | |
| 650 | 4 | |a Analyse combinatoire | |
| 650 | 4 | |a Choix collectif - Mathématiques | |
| 650 | 7 | |a Choix collectif - Modèles mathématiques |2 ram | |
| 650 | 4 | |a Consensus (Sciences sociales) - Mathématiques | |
| 650 | 7 | |a Consensus (sciences sociales) - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Consensus |2 gtt | |
| 650 | 7 | |a Jeu |2 Jussieu | |
| 650 | 4 | |a Jeux, Théorie des | |
| 650 | 4 | |a Politique sociale - Mathématiques | |
| 650 | 7 | |a Politique sociale - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Social choice |2 gtt | |
| 650 | 7 | |a Speltheorie |2 gtt | |
| 650 | 7 | |a Théorie ensemble |2 Jussieu | |
| 650 | 7 | |a Théorème impossibilité Arrow |2 Jussieu | |
| 650 | 7 | |a Utilité |2 Jussieu | |
| 650 | 7 | |a Wiskunde |2 gtt | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 4 | |a Consensus (Social sciences) |x Mathematics | |
| 650 | 4 | |a Game theory | |
| 650 | 4 | |a Social choice |x Mathematics | |
| 650 | 4 | |a Social policy |x Mathematics | |
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Datensatz im Suchindex
| _version_ | 1820791431486242816 |
|---|---|
| adam_text |
CONTENTS
PREFACE iii
Chapter 1 SETS AND BINARY RELATIONS 1
1.1 Set Theory 1
1.2 Functions and Relations 6
1.3 Symmetry, Reflexivity, Transitivity 10
1.4 Order Relations in General 16
1.5 Linear Orders 21
1.6 Preference Relations 24
1.7 Semiorders 25
Chapter 2 BOOLEAN MATRICES AND RELATED STRUCTURES 27
2.1 Boolean Matrices 27
2.2 Matrices and Binary Relations 34
2.3 Idempotents 37
2.4 Indeoanposability and Asynptotic Forms 40
2.5 Hall Matrices and Fully Indecomposable Matrices 41
2.6 Row Spaces and Lattices 45
2.7 (0,1) Matrices 48
2.8 Ideals and Filters 49
2.9 Permutations 51
Chapter 3 UTILITY FUNCTIONS 56
3.1 Ordinal Utility Functions 56
3.2 Holder's Theorem 58
3.3 additive Conjoint Measurement 60
3.4 Expected Utilities 63
v
vi CONTENTS
Chapter 4 SOCIAL CHOICE FUNCTIONS 65
4.1 Terminology 65
4.2 Attributes of Social Choice Functions 69
4.3 Arrow's Impossibility Theorem 75
4.4 Normanipulable Social Choice Functions 81
4.5 Strongly and Exactly Consistent Social Choice Functions 85
4.6 Approval Voting 94
4.7 A Dynamical Stochastic Model of Political Equilibrium 102
Chapter 5 SOCIAL CHOICE FUNCTIONS ON RESTRICTED DOMAINS 105
5.1 Single Peakedness and Related Restrictions 105
5.2 Nbndictatorial Domains 115
5.3 Consistent Voting Systems and Type I Preferences 124
5.4 Bergson Samuelson Social Welfare Functions 130
Chapter 6 SOLUTIONS OF GAMES 137
6.1 Noncooperative Games 137
6.2 Bargaining Games 142
6.3 Shapley Valve 146
6.4 Theory of the Competitive Solution 149
6.5 Probabilities and Competitive Solutions 154
6.6 von Neunann Morgenstern Solutions (Monexistence) 157
6.7 Abstract Games 162
6.8 Other Topics in Game Theory 166
REFERENCES 169
INDEX 175 |
| any_adam_object | 1 |
| author | Kim, Ki-Hang Roush, Fred W. |
| author_GND | (DE-588)1067604758 (DE-588)170693570 |
| author_facet | Kim, Ki-Hang Roush, Fred W. |
| author_role | aut aut |
| author_sort | Kim, Ki-Hang |
| author_variant | k h k khk f w r fw fwr |
| building | Verbundindex |
| bvnumber | BV002266161 |
| callnumber-first | H - Social Science |
| callnumber-label | H91 |
| callnumber-raw | H91 |
| callnumber-search | H91 |
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| callnumber-subject | H - Social Science |
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| ctrlnum | (OCoLC)6603779 (DE-599)BVBBV002266161 |
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| dewey-ones | 300 - Social sciences |
| dewey-raw | 300/.724 |
| dewey-search | 300/.724 |
| dewey-sort | 3300 3724 |
| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2025-01-09T17:00:23Z |
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| isbn | 0824710010 |
| language | English |
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| physical | VI, 179 S. |
| publishDate | 1980 |
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| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Kim, Ki-Hang Verfasser (DE-588)1067604758 aut Introduction to mathematical consensus theory K. H. Kim and Fred W. Roush New York [u.a.] Dekker 1980 VI, 179 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 59 Analyse combinatoire Choix collectif - Mathématiques Choix collectif - Modèles mathématiques ram Consensus (Sciences sociales) - Mathématiques Consensus (sciences sociales) - Modèles mathématiques ram Consensus gtt Jeu Jussieu Jeux, Théorie des Politique sociale - Mathématiques Politique sociale - Modèles mathématiques ram Social choice gtt Speltheorie gtt Théorie ensemble Jussieu Théorème impossibilité Arrow Jussieu Utilité Jussieu Wiskunde gtt Mathematik Combinatorial analysis Consensus (Social sciences) Mathematics Game theory Social choice Mathematics Social policy Mathematics Sozialpolitik (DE-588)4055879-4 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Entscheidung (DE-588)4014904-3 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 s Mathematische Methode (DE-588)4155620-3 s DE-604 Entscheidung (DE-588)4014904-3 s Spieltheorie (DE-588)4056243-8 s Mathematik (DE-588)4037944-9 s Sozialpolitik (DE-588)4055879-4 s Roush, Fred W. Verfasser (DE-588)170693570 aut Lecture notes in pure and applied mathematics 59 (DE-604)BV005871364 59 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001489158&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kim, Ki-Hang Roush, Fred W. Introduction to mathematical consensus theory Lecture notes in pure and applied mathematics Analyse combinatoire Choix collectif - Mathématiques Choix collectif - Modèles mathématiques ram Consensus (Sciences sociales) - Mathématiques Consensus (sciences sociales) - Modèles mathématiques ram Consensus gtt Jeu Jussieu Jeux, Théorie des Politique sociale - Mathématiques Politique sociale - Modèles mathématiques ram Social choice gtt Speltheorie gtt Théorie ensemble Jussieu Théorème impossibilité Arrow Jussieu Utilité Jussieu Wiskunde gtt Mathematik Combinatorial analysis Consensus (Social sciences) Mathematics Game theory Social choice Mathematics Social policy Mathematics Sozialpolitik (DE-588)4055879-4 gnd Spieltheorie (DE-588)4056243-8 gnd Entscheidung (DE-588)4014904-3 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| subject_GND | (DE-588)4055879-4 (DE-588)4056243-8 (DE-588)4014904-3 (DE-588)4155620-3 (DE-588)4037944-9 (DE-588)4138606-1 |
| title | Introduction to mathematical consensus theory |
| title_auth | Introduction to mathematical consensus theory |
| title_exact_search | Introduction to mathematical consensus theory |
| title_full | Introduction to mathematical consensus theory K. H. Kim and Fred W. Roush |
| title_fullStr | Introduction to mathematical consensus theory K. H. Kim and Fred W. Roush |
| title_full_unstemmed | Introduction to mathematical consensus theory K. H. Kim and Fred W. Roush |
| title_short | Introduction to mathematical consensus theory |
| title_sort | introduction to mathematical consensus theory |
| topic | Analyse combinatoire Choix collectif - Mathématiques Choix collectif - Modèles mathématiques ram Consensus (Sciences sociales) - Mathématiques Consensus (sciences sociales) - Modèles mathématiques ram Consensus gtt Jeu Jussieu Jeux, Théorie des Politique sociale - Mathématiques Politique sociale - Modèles mathématiques ram Social choice gtt Speltheorie gtt Théorie ensemble Jussieu Théorème impossibilité Arrow Jussieu Utilité Jussieu Wiskunde gtt Mathematik Combinatorial analysis Consensus (Social sciences) Mathematics Game theory Social choice Mathematics Social policy Mathematics Sozialpolitik (DE-588)4055879-4 gnd Spieltheorie (DE-588)4056243-8 gnd Entscheidung (DE-588)4014904-3 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| topic_facet | Analyse combinatoire Choix collectif - Mathématiques Choix collectif - Modèles mathématiques Consensus (Sciences sociales) - Mathématiques Consensus (sciences sociales) - Modèles mathématiques Consensus Jeu Jeux, Théorie des Politique sociale - Mathématiques Politique sociale - Modèles mathématiques Social choice Speltheorie Théorie ensemble Théorème impossibilité Arrow Utilité Wiskunde Mathematik Combinatorial analysis Consensus (Social sciences) Mathematics Game theory Social choice Mathematics Social policy Mathematics Sozialpolitik Spieltheorie Entscheidung Mathematische Methode Entscheidungstheorie |
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