Tournament solutions and majority voting:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Studies in economic theory
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 255 S. graph. Darst. |
| ISBN: | 3540628975 |
Internformat
MARC
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| 100 | 1 | |a Laslier, Jean-François |d 1959- |e Verfasser |0 (DE-588)170820904 |4 aut | |
| 245 | 1 | 0 | |a Tournament solutions and majority voting |c Jean-Francois Laslier |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XIII, 255 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Studies in economic theory |v 7 | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Social choice -- Mathematical models | |
| 650 | 4 | |a Voting -- Mathematical models | |
| 650 | 4 | |a Decision making -- Mathematical models | |
| 650 | 4 | |a Game theory | |
| 650 | 0 | 7 | |a Turnier |g Mathematik |0 (DE-588)4473306-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrheitsentscheidung |0 (DE-588)4277108-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spieltheorie |0 (DE-588)4056243-8 |2 gnd |9 rswk-swf |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007652697 | |
Datensatz im Suchindex
| _version_ | 1807594165536555008 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
INTRODUCTION
.
1
ORGANISATION
OF
THE
BOOK
.
4
1
GENERALITIES
.
9
1.1
DEFINITIONS
AND
NOTATIONS
.
9
1.2
FINITE
TOURNAMENTS
.
11
1.3
DECOMPOSITION
.
15
1.4
REGULARITY
.
23
1.5
USEFUL
NOTIONS
ABOUT
GENERAL
BINARY
RELATIONS
.
28
2
TOURNAMENT
SOLUTIONS
.
33
2.1
MAJORITY
VOTING
AND
TOURNAMENTS
.
34
2.2
SOLUTION
CONCEPTS
.
36
2.3
MONOTONICITY,
STRONG
SUPERSET
PROPERTY
AND
INDEPENDENCE
OF
LOSERS
.
38
2.4
COMPOSITION-CONSISTENCY
AND
REGULARITY
.
44
2.5
COMPOSITION-CONSISTENT
HULLS
.
48
3
SCORING
AND
RANKING
METHODS
.
51
3.1
COPELAND
SOLUTION
.
51
3.2
ITERATIVE
MATRIX
SOLUTIONS
.
54
3.3
MARKOV
SOLUTION
.
56
3.4
SLATER
SOLUTION
.
64
XII
4
MULTIVARIATE
DESCRIPTIONS
.
73
4.1
COMPLETE
EUCLIDEAN
DESCRIPTION
.
74
4.2
MULTIDIMENSIONAL
SCALING
.
89
5
COVERING
.
95
5.1
COVERING
RELATION
AND
UNCOVERED
SET
.
96
5.2
ITERATIONS
OF
THE
UNCOVERED
SET
.
107
5.3
DUTTA'S
MINIMAL
COVERING
SET
.
112
5.4
WEAK
COVERING
&
LA
LAFFOND
AND
LAIN
.
120
5.5
WEAK
COVERING
&
LA
LEVCHENKOV
.
128
6
TOURNAMENT
GAME
.
133
6.1
TOURNAMENT
GAME
IN
PURE
STRATEGIES
.
133
6.2
TOURNAMENT
GAME
IN
MIXED
STRATEGIES
.
138
6.3
PROPERTIES
OF
THE
BIPARTISAN
SET
.
146
6.4
METHOD
OF
THE
MINIMAL
GAIN
.
153
6.5
INTERPRETATION
OF
TOURNAMENT
GAMES
.
160
7
THE
CONTESTATION
PROCESS
.
163
7.1
BANKS'
SOLUTION
.
164
7.2
THE
TOURNAMENT
EQUILIBRIUM
SET
.
173
8
TOURNAMENT
ALGEBRAS
AND
BINARY
TREES
.
181
8.1
DEFINITION
OF
A
TOURNAMENT
ALGEBRA
.
183
8.2
BINARY
TREES
.
189
8.3
AN
ALGEBRAIC
SOLUTION:
THE
TOP-CYCLE
.
192
8.4
AN
ALGEBRAIC
SOLUTION:
THE
BANKS'
SET
.
196
8.5
PROPERTIES
OF
ALGEBRAIC
SOLUTIONS
.
201
9
COPELAND
VALUE
OF
A
SOLUTION
.
209
9.1
DEFINITION
OF
THE
COPELAND
VALUE
.
210
9.2
COMPUTATION
OF
SOME
COPELAND
VALUES
.
210
10
FROM
TOURNAMENTS
TO
CHOICE
AND
VOTING
.
217
10.1
GENERALIZED
TOURNAMENTS
.
218
10.2
SOCIAL
CHOICE
.
224
10.3
VOTING
WITH
MEDIATORS
.
227
10.4
VOTING
WITH
AGENDAS
.
231
XIII
ANNEX
-
SUMMARY
TABLES
.
235
A.L
RELATIONS
BETWEEN
THE
MAIN
SOLUTIONS
.
235
A.2
PROPERTIES
OF
THE
MAIN
SOLUTIONS
.
236
A.3
GAMES
AND
TOURNAMENTS
CONCEPTS
.
236
A.4
AN
EXAMPLE
.
237
INDEX
OF
MAIN
NOTATIONS
.
239
REFERENCES
.
243 |
| any_adam_object | 1 |
| author | Laslier, Jean-François 1959- |
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| dewey-ones | 302 - Social interaction |
| dewey-raw | 302/.13 21 |
| dewey-search | 302/.13 21 |
| dewey-sort | 3302 213 221 |
| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV011385932 |
| illustrated | Illustrated |
| indexdate | 2024-08-17T00:55:29Z |
| institution | BVB |
| isbn | 3540628975 |
| language | English |
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| physical | XIII, 255 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Studies in economic theory |
| series2 | Studies in economic theory |
| spelling | Laslier, Jean-François 1959- Verfasser (DE-588)170820904 aut Tournament solutions and majority voting Jean-Francois Laslier Berlin [u.a.] Springer 1997 XIII, 255 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in economic theory 7 Mathematisches Modell Social choice -- Mathematical models Voting -- Mathematical models Decision making -- Mathematical models Game theory Turnier Mathematik (DE-588)4473306-9 gnd rswk-swf Mehrheitsentscheidung (DE-588)4277108-0 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Turnier Mathematik (DE-588)4473306-9 s Spieltheorie (DE-588)4056243-8 s DE-604 Mehrheitsentscheidung (DE-588)4277108-0 s Studies in economic theory 7 (DE-604)BV004683666 7 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Laslier, Jean-François 1959- Tournament solutions and majority voting Studies in economic theory Mathematisches Modell Social choice -- Mathematical models Voting -- Mathematical models Decision making -- Mathematical models Game theory Turnier Mathematik (DE-588)4473306-9 gnd Mehrheitsentscheidung (DE-588)4277108-0 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4473306-9 (DE-588)4277108-0 (DE-588)4056243-8 |
| title | Tournament solutions and majority voting |
| title_auth | Tournament solutions and majority voting |
| title_exact_search | Tournament solutions and majority voting |
| title_full | Tournament solutions and majority voting Jean-Francois Laslier |
| title_fullStr | Tournament solutions and majority voting Jean-Francois Laslier |
| title_full_unstemmed | Tournament solutions and majority voting Jean-Francois Laslier |
| title_short | Tournament solutions and majority voting |
| title_sort | tournament solutions and majority voting |
| topic | Mathematisches Modell Social choice -- Mathematical models Voting -- Mathematical models Decision making -- Mathematical models Game theory Turnier Mathematik (DE-588)4473306-9 gnd Mehrheitsentscheidung (DE-588)4277108-0 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Mathematisches Modell Social choice -- Mathematical models Voting -- Mathematical models Decision making -- Mathematical models Game theory Turnier Mathematik Mehrheitsentscheidung Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004683666 |
| work_keys_str_mv | AT laslierjeanfrancois tournamentsolutionsandmajorityvoting |